19.300 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.067 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.067 * * [simplify]: iteration 0: 6 enodes 0.069 * * [simplify]: iteration 1: 11 enodes 0.072 * * [simplify]: iteration 2: 12 enodes 0.075 * * [simplify]: iteration complete: 12 enodes 0.075 * * [simplify]: Extracting #0: cost 1 inf + 0 0.075 * * [simplify]: Extracting #1: cost 4 inf + 0 0.075 * * [simplify]: Extracting #2: cost 6 inf + 0 0.075 * * [simplify]: Extracting #3: cost 4 inf + 253 0.075 * * [simplify]: Extracting #4: cost 0 inf + 735 0.075 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.127 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.127 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.127 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.127 * [taylor]: Taking taylor expansion of (atan N) in N 0.127 * [backup-simplify]: Simplify (atan N) into (atan N) 0.127 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.127 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.128 * [taylor]: Taking taylor expansion of (atan N) in N 0.128 * [backup-simplify]: Simplify (atan N) into (atan N) 0.128 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.128 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.128 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 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 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [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 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [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 (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.133 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.133 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.133 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.133 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.133 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.133 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.133 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.133 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.133 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.134 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.134 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.134 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [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 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [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 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.140 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.140 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.140 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.140 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.140 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.141 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.141 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.141 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.141 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.141 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.141 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.146 * * * [progress]: simplifying candidates 0.147 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 0.147 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.148 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 0.148 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 0.149 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1)) (atan N))) (log1p (- (atan (+ N 1)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1) N) (+ 1 (* (+ N 1) N)) (/ (exp (atan (+ N 1))) (exp (atan N))) (log (- (atan (+ N 1)) (atan N))) (exp (- (atan (+ N 1)) (atan N))) (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N))) (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N))) (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N)) (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N)) 0.151 * * [simplify]: iteration 0: 62 enodes 0.176 * * [simplify]: iteration 1: 136 enodes 0.213 * * [simplify]: iteration 2: 288 enodes 0.394 * * [simplify]: iteration 3: 777 enodes 0.812 * * [simplify]: iteration complete: 2002 enodes 0.812 * * [simplify]: Extracting #0: cost 20 inf + 0 0.813 * * [simplify]: Extracting #1: cost 162 inf + 2 0.816 * * [simplify]: Extracting #2: cost 402 inf + 1993 0.821 * * [simplify]: Extracting #3: cost 371 inf + 37811 0.836 * * [simplify]: Extracting #4: cost 116 inf + 144737 0.876 * * [simplify]: Extracting #5: cost 9 inf + 192986 0.916 * * [simplify]: Extracting #6: cost 0 inf + 196442 0.958 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (+ N (fma N N 1)) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) 0.961 * * * [progress]: adding candidates to table 1.040 * * [progress]: iteration 2 / 4 1.040 * * * [progress]: picking best candidate 1.046 * * * * [pick]: Picked # 1.046 * * * [progress]: localizing error 1.055 * * * [progress]: generating rewritten candidates 1.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.060 * * * [progress]: generating series expansions 1.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.061 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.061 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 1.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 1.061 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 1.061 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.061 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 1.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.061 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 1.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 1.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.061 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 1.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.061 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 1.062 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.062 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 1.062 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 1.062 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.062 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 1.062 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.062 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 1.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.063 * [backup-simplify]: Simplify (+ N (fma N N 1)) into (+ N (fma N N 1)) 1.063 * [approximate]: Taking taylor expansion of (+ N (fma N N 1)) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (fma N N 1) in N 1.063 * [taylor]: Rewrote expression to (+ (* N N) 1) 1.063 * [taylor]: Taking taylor expansion of (* N N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of 1 in N 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (fma N N 1) in N 1.063 * [taylor]: Rewrote expression to (+ (* N N) 1) 1.063 * [taylor]: Taking taylor expansion of (* N N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of 1 in N 1.063 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (* 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ 0 1) into 1 1.064 * [backup-simplify]: Simplify (+ 0 1) into 1 1.064 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (+ 1 0) into 1 1.065 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.066 * [backup-simplify]: Simplify (+ 0 1) into 1 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1.066 * [backup-simplify]: Simplify (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) into (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) 1.067 * [approximate]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in (N) around 0 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N 1.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.067 * [taylor]: Taking taylor expansion of N in N 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N 1.067 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1) 1.067 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N 1.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.067 * [taylor]: Taking taylor expansion of N in N 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.067 * [taylor]: Taking taylor expansion of N in N 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of 1 in N 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N 1.068 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1) 1.068 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.069 * [taylor]: Taking taylor expansion of N in N 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of 1 in N 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.070 * [backup-simplify]: Simplify (+ 0 1) into 1 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (+ 1 0) into 1 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 1) into 1 1.074 * [backup-simplify]: Simplify (+ 0 1) into 1 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1.074 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)) into (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) 1.075 * [approximate]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in (N) around 0 1.075 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N 1.075 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N 1.075 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1) 1.075 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N 1.075 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.075 * [taylor]: Taking taylor expansion of -1 in N 1.075 * [backup-simplify]: Simplify -1 into -1 1.075 * [taylor]: Taking taylor expansion of N in N 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ -1 1) into -1 1.075 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.075 * [taylor]: Taking taylor expansion of -1 in N 1.075 * [backup-simplify]: Simplify -1 into -1 1.075 * [taylor]: Taking taylor expansion of N in N 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ -1 1) into -1 1.075 * [taylor]: Taking taylor expansion of 1 in N 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.075 * [taylor]: Taking taylor expansion of N in N 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N 1.076 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N 1.076 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1) 1.076 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N 1.076 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.076 * [taylor]: Taking taylor expansion of -1 in N 1.076 * [backup-simplify]: Simplify -1 into -1 1.076 * [taylor]: Taking taylor expansion of N in N 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ -1 1) into -1 1.076 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.076 * [taylor]: Taking taylor expansion of -1 in N 1.076 * [backup-simplify]: Simplify -1 into -1 1.076 * [taylor]: Taking taylor expansion of N in N 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ -1 1) into -1 1.077 * [taylor]: Taking taylor expansion of 1 in N 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.077 * [taylor]: Taking taylor expansion of N in N 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (* -1 -1) into 1 1.077 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (- 1) into -1 1.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.080 * [backup-simplify]: Simplify -1 into -1 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 1) into 1 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ 1 0) into 1 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1.083 * * * [progress]: simplifying candidates 1.083 * * * * [progress]: [ 1 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 2 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 3 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 4 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 5 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 6 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 7 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 8 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 9 / 35 ] simplifiying candidate # 1.083 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ N (fma N N 1))))))> 1.083 * * * * [progress]: [ 11 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 12 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 13 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 14 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 15 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 16 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 17 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 18 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 19 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 20 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 21 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 22 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 23 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 24 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 25 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 26 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 27 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #real (real->posit16 (+ N (fma N N 1))))))> 1.084 * * * * [progress]: [ 29 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 30 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 31 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 32 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 33 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 34 / 35 ] simplifiying candidate # 1.084 * * * * [progress]: [ 35 / 35 ] simplifiying candidate # 1.085 * [simplify]: Simplifying: (expm1 (atan2 1 (+ N (fma N N 1)))) (log1p (atan2 1 (+ N (fma N N 1)))) (log (atan2 1 (+ N (fma N N 1)))) (exp (atan2 1 (+ N (fma N N 1)))) (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))) (cbrt (atan2 1 (+ N (fma N N 1)))) (* (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (real->posit16 (atan2 1 (+ N (fma N N 1)))) (expm1 (+ N (fma N N 1))) (log1p (+ N (fma N N 1))) (* (exp N) (exp (fma N N 1))) (log (+ N (fma N N 1))) (exp (+ N (fma N N 1))) (* (cbrt (+ N (fma N N 1))) (cbrt (+ N (fma N N 1)))) (cbrt (+ N (fma N N 1))) (* (* (+ N (fma N N 1)) (+ N (fma N N 1))) (+ N (fma N N 1))) (sqrt (+ N (fma N N 1))) (sqrt (+ N (fma N N 1))) (+ (pow N 3) (pow (fma N N 1) 3)) (+ (* N N) (- (* (fma N N 1) (fma N N 1)) (* N (fma N N 1)))) (- (* N N) (* (fma N N 1) (fma N N 1))) (- N (fma N N 1)) (+ N (fma N N 1)) (+ N (* N N)) (real->posit16 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 1.085 * * [simplify]: iteration 0: 44 enodes 1.094 * * [simplify]: iteration 1: 99 enodes 1.138 * * [simplify]: iteration 2: 330 enodes 1.530 * * [simplify]: iteration 3: 1659 enodes 1.964 * * [simplify]: iteration complete: 2000 enodes 1.964 * * [simplify]: Extracting #0: cost 25 inf + 0 1.965 * * [simplify]: Extracting #1: cost 178 inf + 0 1.967 * * [simplify]: Extracting #2: cost 507 inf + 2102 1.978 * * [simplify]: Extracting #3: cost 189 inf + 51900 2.012 * * [simplify]: Extracting #4: cost 16 inf + 78369 2.050 * * [simplify]: Extracting #5: cost 2 inf + 81598 2.092 * * [simplify]: Extracting #6: cost 0 inf + 82425 2.130 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N N (+ N 1)))) (log1p (atan2 1 (fma N N (+ N 1)))) (log (atan2 1 (fma N N (+ N 1)))) (exp (atan2 1 (fma N N (+ N 1)))) (* (cbrt (atan2 1 (fma N N (+ N 1)))) (cbrt (atan2 1 (fma N N (+ N 1))))) (cbrt (atan2 1 (fma N N (+ N 1)))) (* (* (atan2 1 (fma N N (+ N 1))) (atan2 1 (fma N N (+ N 1)))) (atan2 1 (fma N N (+ N 1)))) (sqrt (atan2 1 (fma N N (+ N 1)))) (sqrt (atan2 1 (fma N N (+ N 1)))) (real->posit16 (atan2 1 (fma N N (+ N 1)))) (expm1 (fma N N (+ N 1))) (log1p (fma N N (+ N 1))) (* (exp (fma N N N)) E) (log1p (fma N N N)) (* (exp (fma N N N)) E) (* (cbrt (fma N N (+ N 1))) (cbrt (fma N N (+ N 1)))) (cbrt (fma N N (+ N 1))) (* (fma N N (+ N 1)) (* (fma N N (+ N 1)) (fma N N (+ N 1)))) (sqrt (fma N N (+ N 1))) (sqrt (fma N N (+ N 1))) (fma (* (fma N N 1) (fma N N 1)) (fma N N 1) (* N (* N N))) (fma N N (* (- (fma N N 1) N) (fma N N 1))) (* (+ N (fma N N 1)) (- N (fma N N 1))) (- N (fma N N 1)) (fma N N (+ N 1)) (fma N N N) (real->posit16 (fma N N (+ N 1))) (atan2 1 (fma N N (+ N 1))) (atan2 1 (fma N N (+ N 1))) (atan2 1 (fma N N (+ N 1))) (fma N N (+ N 1)) (fma N N (+ N 1)) (fma N N (+ N 1)) 2.132 * * * [progress]: adding candidates to table 2.319 * * [progress]: iteration 3 / 4 2.319 * * * [progress]: picking best candidate 2.332 * * * * [pick]: Picked # 2.332 * * * [progress]: localizing error 2.352 * * * [progress]: generating rewritten candidates 2.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.354 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.364 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.365 * * * [progress]: generating series expansions 2.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.365 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.365 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 2.365 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.365 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.366 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.366 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.366 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.366 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.366 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.366 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.370 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.370 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 2.370 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.370 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.370 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.370 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.370 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.370 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.370 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.370 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.371 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.381 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.381 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 2.381 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.381 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.382 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.382 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.382 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.382 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.382 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.383 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.383 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.383 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.389 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 2.389 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.389 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.389 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.389 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 2.389 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.389 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.389 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.390 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.393 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.393 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 2.393 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.393 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.393 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.393 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.393 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 2.393 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.393 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.393 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.394 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.398 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.398 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 2.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.398 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.398 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.398 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.398 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 2.398 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.398 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.398 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.398 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 2.402 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.402 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) into (atan2 1 (+ N (fma N N 1))) 2.402 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 2.402 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.402 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.402 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.402 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.402 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.403 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.403 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 2.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.403 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 2.404 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.404 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 2.404 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.404 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 2.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.404 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.404 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 2.404 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.404 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.404 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 2.404 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.405 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 2.405 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.405 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 2.405 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.405 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.405 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 2.405 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.405 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 2.406 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.406 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 2.406 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.406 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.406 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 2.406 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.406 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 2.406 * * * [progress]: simplifying candidates 2.406 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 2.406 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 2.406 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 2.406 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 2.406 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 2.406 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))))> 2.407 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 2.407 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (atan2 1 (+ N (fma N N 1))))))> 2.407 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 2.408 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 2.409 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))))))> 2.410 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ N (fma N N 1))))))))> 2.410 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 2.410 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 2.411 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (log1p (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (+ 1 1) (+ (log (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1)))))) (log (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (exp (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))))) (cbrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (sqrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* 1 1) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt 1)) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) 1) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))))) (expm1 (atan2 1 (+ N (fma N N 1)))) (log1p (atan2 1 (+ N (fma N N 1)))) (log (atan2 1 (+ N (fma N N 1)))) (exp (atan2 1 (+ N (fma N N 1)))) (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1))))) (cbrt (atan2 1 (+ N (fma N N 1)))) (* (* (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (real->posit16 (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) 2.413 * * [simplify]: iteration 0: 65 enodes 2.435 * * [simplify]: iteration 1: 118 enodes 2.484 * * [simplify]: iteration 2: 243 enodes 2.598 * * [simplify]: iteration 3: 658 enodes 2.843 * * [simplify]: iteration complete: 2001 enodes 2.843 * * [simplify]: Extracting #0: cost 30 inf + 0 2.844 * * [simplify]: Extracting #1: cost 329 inf + 3 2.848 * * [simplify]: Extracting #2: cost 732 inf + 1417 2.853 * * [simplify]: Extracting #3: cost 774 inf + 3270 2.859 * * [simplify]: Extracting #4: cost 756 inf + 4205 2.876 * * [simplify]: Extracting #5: cost 700 inf + 25309 2.919 * * [simplify]: Extracting #6: cost 353 inf + 176782 2.993 * * [simplify]: Extracting #7: cost 37 inf + 327157 3.076 * * [simplify]: Extracting #8: cost 0 inf + 344763 3.165 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) 1 (sqrt (atan2 1 (fma (+ N 1) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) 1 (sqrt (atan2 1 (fma (+ N 1) N 1))) 1/2 (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (real->posit16 (sqrt (atan2 1 (fma (+ N 1) N 1)))) (expm1 (atan2 1 (fma (+ N 1) N 1))) (log1p (atan2 1 (fma (+ N 1) N 1))) 1 1 2 1 1 (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1)) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) 2 (log (atan2 1 (fma (+ N 1) N 1))) (log (atan2 1 (fma (+ N 1) N 1))) (exp (atan2 1 (fma (+ N 1) N 1))) (* (atan2 1 (fma (+ N 1) N 1)) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)))) (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))) (* (atan2 1 (fma (+ N 1) N 1)) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)))) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) 1 2 1 (* (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (fabs (cbrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (atan2 1 (fma (+ N 1) N 1)) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (atan2 1 (fma (+ N 1) N 1)) (real->posit16 (atan2 1 (fma (+ N 1) N 1))) (expm1 (atan2 1 (fma (+ N 1) N 1))) (log1p (atan2 1 (fma (+ N 1) N 1))) (log (atan2 1 (fma (+ N 1) N 1))) (exp (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))) (* (atan2 1 (fma (+ N 1) N 1)) (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (real->posit16 (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1)) 3.175 * * * [progress]: adding candidates to table 3.527 * * [progress]: iteration 4 / 4 3.528 * * * [progress]: picking best candidate 3.546 * * * * [pick]: Picked # 3.546 * * * [progress]: localizing error 3.585 * * * [progress]: generating rewritten candidates 3.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.587 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.588 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.639 * * * [progress]: generating series expansions 3.639 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.639 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.639 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 3.639 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.639 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.639 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.639 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.639 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.639 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.640 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.640 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.640 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.642 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.644 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.644 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 3.644 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.644 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.644 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.644 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.644 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.644 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.644 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.644 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.644 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.648 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.648 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 3.648 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.648 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.648 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.648 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.648 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.648 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.648 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.648 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.649 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.652 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.652 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 3.652 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.652 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.653 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.653 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.653 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.653 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.653 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.653 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.653 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.656 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.656 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 3.656 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.656 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.657 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.657 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.657 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.657 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.657 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.657 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.657 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.660 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.661 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 3.661 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.661 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.661 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.661 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.661 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.661 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.661 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.662 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.665 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.665 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.665 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in (N) around 0 3.665 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.665 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.665 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.665 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.665 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (fma N N 1)))) in N 3.665 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.665 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.666 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.666 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (fma N N 1)))))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (fma N N 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.670 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.670 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in (N) around 0 3.670 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.670 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.670 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.670 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.670 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) in N 3.671 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.671 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.671 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.671 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))) 3.671 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.677 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.677 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in (N) around 0 3.677 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.677 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.677 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.678 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.678 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) in N 3.678 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.678 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.678 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.679 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))) 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (fma N N 1)))) 3.684 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.684 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (atan2 1 (+ N (fma N N 1))))) into (atan2 1 (+ N (fma N N 1))) 3.684 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0 3.684 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.685 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.685 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N 3.685 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.685 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1))) 3.685 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))) (sqrt (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))))) (sqrt (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.685 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0 3.685 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.685 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.685 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N 3.685 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.686 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1))) 3.686 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))) (sqrt (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1)))))) (sqrt (atan2 1 (+ (/ 1 (- N)) (fma (/ 1 (- N)) (/ 1 (- N)) 1))))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.686 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0 3.686 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.686 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.686 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N 3.686 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.687 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1))) 3.687 * * * [progress]: simplifying candidates 3.687 * * * * [progress]: [ 1 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 2 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 3 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 4 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 5 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 6 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 7 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 8 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 9 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 10 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 11 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 12 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 13 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 14 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 15 / 115 ] simplifiying candidate # 3.687 * * * * [progress]: [ 16 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))))> 3.688 * * * * [progress]: [ 17 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 18 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 19 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 20 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 21 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 22 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 23 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 24 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 25 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 26 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 27 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 28 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 29 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 30 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 31 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 32 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1)))))))) (sqrt (atan2 1 (+ N (fma N N 1))))))> 3.688 * * * * [progress]: [ 33 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 34 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 35 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 36 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 37 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 38 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 39 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 40 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 41 / 115 ] simplifiying candidate # 3.688 * * * * [progress]: [ 42 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 43 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 44 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 45 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 46 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 47 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 48 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (atan2 1 (+ N (fma N N 1))))))> 3.689 * * * * [progress]: [ 49 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 50 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 51 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 52 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 53 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 54 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 55 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 56 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 57 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 58 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 59 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 60 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 61 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 62 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 63 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 64 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 65 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 66 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 67 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 68 / 115 ] simplifiying candidate # 3.689 * * * * [progress]: [ 69 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 70 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 71 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 72 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 73 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 74 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 75 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 76 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 77 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 78 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 79 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 80 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 81 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 82 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 83 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 84 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 85 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 86 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 87 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 88 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 89 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 90 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 91 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 92 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 93 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 94 / 115 ] simplifiying candidate # 3.690 * * * * [progress]: [ 95 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 96 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 97 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 98 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 99 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 100 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 101 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 102 / 115 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (atan2 1 (+ N (fma N N 1))))))))> 3.691 * * * * [progress]: [ 103 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 104 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 105 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 106 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 107 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 108 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 109 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 110 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 111 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 112 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 113 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 114 / 115 ] simplifiying candidate # 3.691 * * * * [progress]: [ 115 / 115 ] simplifiying candidate # 3.692 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt 1) (sqrt (atan2 1 (+ N (fma N N 1)))) (/ 1 2) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (real->posit16 (sqrt (atan2 1 (+ N (fma N N 1))))) (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (* (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 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(sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))))) (* (* (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (sqrt (* (cbrt (atan2 1 (+ N (fma N N 1)))) (cbrt (atan2 1 (+ N (fma N 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(fma N N 1)))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) 3.694 * * [simplify]: iteration 0: 85 enodes 3.753 * * [simplify]: iteration 1: 185 enodes 3.800 * * [simplify]: iteration 2: 337 enodes 3.916 * * [simplify]: iteration 3: 648 enodes 4.083 * * [simplify]: iteration 4: 908 enodes 4.279 * * [simplify]: iteration 5: 1305 enodes 4.485 * * [simplify]: iteration complete: 2001 enodes 4.485 * * [simplify]: Extracting #0: cost 28 inf + 0 4.486 * * [simplify]: Extracting #1: cost 191 inf + 3 4.487 * * [simplify]: Extracting #2: cost 367 inf + 450 4.492 * * [simplify]: Extracting #3: cost 380 inf + 14842 4.509 * * [simplify]: Extracting #4: cost 253 inf + 88170 4.546 * * [simplify]: Extracting #5: cost 46 inf + 215832 4.577 * * [simplify]: Extracting #6: cost 4 inf + 242537 4.609 * * [simplify]: Extracting #7: cost 0 inf + 245490 4.648 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) 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(+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (sqrt (atan2 1 (+ N (fma N N 1)))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) (atan2 1 (+ N (fma N N 1))) 4.654 * * * [progress]: adding candidates to table 4.942 * [progress]: [Phase 3 of 3] Extracting. 4.943 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.944 * * * [regime-changes]: Trying 1 branch expressions: (N) 4.944 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 5.009 * * * [regime]: Found split indices: #