0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.068 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.068 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.068 * * [simplify]: iteration 1: (6 enodes) 0.072 * * [simplify]: iteration 2: (23 enodes) 0.079 * * [simplify]: iteration 3: (28 enodes) 0.086 * * [simplify]: Extracting #0: cost 1 inf + 0 0.086 * * [simplify]: Extracting #1: cost 5 inf + 0 0.086 * * [simplify]: Extracting #2: cost 10 inf + 0 0.086 * * [simplify]: Extracting #3: cost 11 inf + 1 0.087 * * [simplify]: Extracting #4: cost 6 inf + 298 0.087 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.087 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.088 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.092 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.129 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.129 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.129 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.146 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [taylor]: Taking taylor expansion of (atan N) in N 0.146 * [backup-simplify]: Simplify (atan N) into (atan N) 0.146 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.146 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.146 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [taylor]: Taking taylor expansion of (atan N) in N 0.146 * [backup-simplify]: Simplify (atan N) into (atan N) 0.147 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.147 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.147 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.153 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.153 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.153 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.153 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.153 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.153 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.153 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.153 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.153 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.154 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.154 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.154 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.160 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.160 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.160 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.160 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.160 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.161 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.161 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.161 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.161 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.161 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.161 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.161 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.161 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.167 * * * [progress]: simplifying candidates 0.167 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 0.167 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 16 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 27 / 33 ] simplifiying candidate # 0.168 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 0.169 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 0.169 * * * * [progress]: [ 30 / 33 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.169 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 0.169 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 0.169 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 0.170 * [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)) 0.171 * * [simplify]: iteration 1: (62 enodes) 0.201 * * [simplify]: iteration 2: (241 enodes) 0.291 * * [simplify]: iteration 3: (419 enodes) 0.492 * * [simplify]: iteration 4: (846 enodes) 0.980 * * [simplify]: Extracting #0: cost 20 inf + 0 0.981 * * [simplify]: Extracting #1: cost 135 inf + 2 0.984 * * [simplify]: Extracting #2: cost 445 inf + 1775 0.993 * * [simplify]: Extracting #3: cost 438 inf + 39682 1.036 * * [simplify]: Extracting #4: cost 76 inf + 192449 1.088 * * [simplify]: Extracting #5: cost 1 inf + 229067 1.120 * * [simplify]: Extracting #6: cost 0 inf + 229369 1.165 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (fma N (+ 1 N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) 1.167 * * * [progress]: adding candidates to table 1.442 * * [progress]: iteration 2 / 4 1.442 * * * [progress]: picking best candidate 1.446 * * * * [pick]: Picked # 1.446 * * * [progress]: localizing error 1.466 * * * [progress]: generating rewritten candidates 1.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.466 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.467 * * * [progress]: generating series expansions 1.467 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.467 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.467 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.467 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.467 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.467 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.468 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.468 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.468 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.468 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.468 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.468 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.468 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.469 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.469 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.469 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.469 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.470 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.470 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.470 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.470 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.470 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.471 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.471 * [backup-simplify]: Simplify (fma N (+ 1 N) 1) into (fma N (+ N 1) 1) 1.471 * [approximate]: Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0 1.471 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 1.471 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 1.471 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 1.471 * [taylor]: Taking taylor expansion of N in N 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.471 * [taylor]: Taking taylor expansion of N in N 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of 1 in N 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of 1 in N 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (fma N (+ N 1) 1) in N 1.471 * [taylor]: Rewrote expression to (+ (* N (+ N 1)) 1) 1.471 * [taylor]: Taking taylor expansion of (* N (+ N 1)) in N 1.471 * [taylor]: Taking taylor expansion of N in N 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.471 * [taylor]: Taking taylor expansion of N in N 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of 1 in N 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of 1 in N 1.471 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (+ 0 1) into 1 1.473 * [backup-simplify]: Simplify (* 0 1) into 0 1.473 * [backup-simplify]: Simplify (+ 0 1) into 1 1.473 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (+ 1 0) into 1 1.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.475 * [backup-simplify]: Simplify (+ 1 0) into 1 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1.477 * [backup-simplify]: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1.477 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0 1.477 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 1.477 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 1.477 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 1.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of 1 in N 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of 1 in N 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N 1.478 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1) 1.478 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N 1.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.478 * [taylor]: Taking taylor expansion of N in N 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of 1 in N 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of 1 in N 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (+ 1 0) into 1 1.480 * [backup-simplify]: Simplify (* 1 1) into 1 1.480 * [backup-simplify]: Simplify (+ 1 0) into 1 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 1) into 1 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 1)) into 1 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1.487 * [backup-simplify]: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) 1.487 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in (N) around 0 1.487 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 1.487 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 1.487 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 1.487 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.487 * [taylor]: Taking taylor expansion of -1 in N 1.487 * [backup-simplify]: Simplify -1 into -1 1.487 * [taylor]: Taking taylor expansion of N in N 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ -1 1) into -1 1.488 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.488 * [taylor]: Taking taylor expansion of 1 in N 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.488 * [taylor]: Taking taylor expansion of N in N 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [taylor]: Taking taylor expansion of 1 in N 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1 (/ 1 N)) 1) in N 1.489 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1 (/ 1 N))) 1) 1.489 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1 (/ 1 N))) in N 1.489 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.489 * [taylor]: Taking taylor expansion of -1 in N 1.489 * [backup-simplify]: Simplify -1 into -1 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ -1 1) into -1 1.489 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.489 * [taylor]: Taking taylor expansion of 1 in N 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [taylor]: Taking taylor expansion of 1 in N 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (- 1) into -1 1.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.491 * [backup-simplify]: Simplify (* -1 -1) into 1 1.491 * [backup-simplify]: Simplify (+ 1 0) into 1 1.491 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.493 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.495 * [backup-simplify]: Simplify (+ -1 0) into -1 1.495 * [backup-simplify]: Simplify -1 into -1 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 1) into 1 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1.499 * * * [progress]: simplifying candidates 1.499 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 10 / 27 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.499 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 1.499 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 21 / 27 ] simplifiying candidate #real (real->posit16 (fma N (+ 1 N) 1)))))> 1.500 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 23 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 1.500 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 1.501 * [simplify]: Simplifying: (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (expm1 (fma N (+ 1 N) 1)) (log1p (fma N (+ 1 N) 1)) (* N (+ 1 N)) (log (fma N (+ 1 N) 1)) (exp (fma N (+ 1 N) 1)) (* (cbrt (fma N (+ 1 N) 1)) (cbrt (fma N (+ 1 N) 1))) (cbrt (fma N (+ 1 N) 1)) (* (* (fma N (+ 1 N) 1) (fma N (+ 1 N) 1)) (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)) (sqrt (fma N (+ 1 N) 1)) (real->posit16 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1)) 1.501 * * [simplify]: iteration 1: (33 enodes) 1.517 * * [simplify]: iteration 2: (113 enodes) 1.555 * * [simplify]: iteration 3: (143 enodes) 1.581 * * [simplify]: iteration 4: (278 enodes) 1.783 * * [simplify]: iteration 5: (972 enodes) 5.214 * * [simplify]: Extracting #0: cost 21 inf + 0 5.215 * * [simplify]: Extracting #1: cost 250 inf + 0 5.230 * * [simplify]: Extracting #2: cost 1131 inf + 8241 5.253 * * [simplify]: Extracting #3: cost 822 inf + 88069 5.339 * * [simplify]: Extracting #4: cost 39 inf + 285915 5.460 * * [simplify]: Extracting #5: cost 1 inf + 293516 5.566 * * [simplify]: Extracting #6: cost 0 inf + 293676 5.668 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (fma N (+ N 1) 1)) (log1p (fma N (+ N 1) 1)) (fma N N N) (log1p (fma N N N)) (exp (fma N (+ N 1) 1)) (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)) (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))) (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)) (real->posit16 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (fma N (+ N 1) 1) (fma N (+ N 1) 1) (fma N (+ N 1) 1) 5.669 * * * [progress]: adding candidates to table 5.904 * * [progress]: iteration 3 / 4 5.904 * * * [progress]: picking best candidate 5.922 * * * * [pick]: Picked # 5.922 * * * [progress]: localizing error 5.955 * * * [progress]: generating rewritten candidates 5.955 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.962 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.967 * * * [progress]: generating series expansions 5.967 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.967 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.967 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 5.967 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 5.967 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.967 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.967 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.967 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 5.967 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.968 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.968 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.968 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.968 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.974 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.974 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 5.974 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.974 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.974 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5.975 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.975 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.975 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.975 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5.975 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.975 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.977 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.981 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.981 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 5.981 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.981 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.981 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5.981 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.981 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.981 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.982 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5.982 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.982 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.982 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.984 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.986 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.987 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 5.987 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 5.987 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.987 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.987 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.987 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 5.987 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.987 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.987 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.987 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.987 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.990 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.990 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 5.990 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.990 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.991 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5.991 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.991 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 5.991 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 5.991 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 5.991 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.991 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 5.991 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.995 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 5.995 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.995 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.995 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.995 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 5.995 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 5.995 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 5.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.995 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 5.999 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.999 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.999 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 5.999 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.999 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.999 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 5.999 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.999 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.000 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 6.000 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.000 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.000 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 6.000 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.000 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.000 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.001 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.001 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 6.001 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.001 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.001 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.001 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.001 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 6.001 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.002 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.002 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 6.002 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.002 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.002 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.003 * * * [progress]: simplifying candidates 6.003 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 6.003 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 6.003 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 6.004 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 6.004 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 6.004 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 6.005 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 6.005 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 6.006 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (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))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 6.006 * * [simplify]: iteration 1: (34 enodes) 6.016 * * [simplify]: iteration 2: (107 enodes) 6.041 * * [simplify]: iteration 3: (136 enodes) 6.059 * * [simplify]: iteration 4: (166 enodes) 6.101 * * [simplify]: iteration 5: (218 enodes) 6.137 * * [simplify]: iteration 6: (350 enodes) 6.254 * * [simplify]: iteration 7: (670 enodes) 6.682 * * [simplify]: iteration 8: (1795 enodes) 10.514 * * [simplify]: Extracting #0: cost 23 inf + 0 10.514 * * [simplify]: Extracting #1: cost 303 inf + 2 10.519 * * [simplify]: Extracting #2: cost 1317 inf + 8 10.858 * * [simplify]: Extracting #3: cost 1357 inf + 84 10.870 * * [simplify]: Extracting #4: cost 1348 inf + 520 10.887 * * [simplify]: Extracting #5: cost 1214 inf + 66683 10.979 * * [simplify]: Extracting #6: cost 453 inf + 638534 11.140 * * [simplify]: Extracting #7: cost 25 inf + 1022479 11.334 * * [simplify]: Extracting #8: cost 0 inf + 1045260 11.520 * * [simplify]: Extracting #9: cost 0 inf + 1045115 11.717 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (atan2 1 (+ N (fma N N 1))) (sqrt (atan2 1 (+ N (fma N N 1))))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) 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))))) (* (atan2 1 (+ N (fma N N 1))) (sqrt (atan2 1 (+ N (fma N N 1))))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) 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 (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 (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))) 11.723 * * * [progress]: adding candidates to table 12.259 * * [progress]: iteration 4 / 4 12.260 * * * [progress]: picking best candidate 12.274 * * * * [pick]: Picked # 12.274 * * * [progress]: localizing error 12.306 * * * [progress]: generating rewritten candidates 12.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 12.307 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 12.308 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 12.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 12.310 * * * [progress]: generating series expansions 12.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 12.310 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.310 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 12.310 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.310 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.310 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.310 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.311 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.311 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.311 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.311 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.312 * [backup-simplify]: Simplify 0 into 0 12.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.313 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.314 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.314 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 12.314 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.314 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.315 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.315 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.315 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.315 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.316 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.316 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.319 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.320 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.320 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 12.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.320 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.320 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.321 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.321 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.321 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.321 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.321 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.322 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.322 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.323 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.324 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.325 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.327 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.328 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.328 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 12.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.328 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.328 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.328 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.328 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.329 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.329 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.329 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.329 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.331 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.335 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 12.335 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.335 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.335 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.335 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.335 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.335 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.335 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.335 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.336 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.336 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.338 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.339 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.341 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.342 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 12.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.342 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.342 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.342 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.342 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.342 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.343 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.343 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.343 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.345 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.349 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 12.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.349 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.349 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.350 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 12.350 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.350 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.350 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.352 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.354 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.356 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.356 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 12.356 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.356 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.356 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.356 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.356 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 12.356 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.357 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.357 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.357 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 12.357 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.361 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.363 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.363 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 12.363 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.363 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.363 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.363 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.363 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 12.363 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.364 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.364 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.364 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 12.364 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.366 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.367 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 12.368 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 12.368 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.368 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 12.368 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.368 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.368 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 12.368 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.368 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.368 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.368 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 12.368 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.368 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.368 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.369 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 12.369 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.369 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.369 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 12.370 * * * [progress]: simplifying candidates 12.370 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))> 12.370 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 12.370 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 12.371 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 12.371 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 12.372 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))))> 12.372 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 12.372 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 12.373 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 12.373 * * [simplify]: iteration 1: (34 enodes) 12.385 * * [simplify]: iteration 2: (107 enodes) 12.399 * * [simplify]: iteration 3: (136 enodes) 12.418 * * [simplify]: iteration 4: (166 enodes) 12.440 * * [simplify]: iteration 5: (218 enodes) 12.480 * * [simplify]: iteration 6: (350 enodes) 12.568 * * [simplify]: iteration 7: (670 enodes) 12.904 * * [simplify]: iteration 8: (1795 enodes) 16.462 * * [simplify]: Extracting #0: cost 23 inf + 0 16.463 * * [simplify]: Extracting #1: cost 303 inf + 2 16.468 * * [simplify]: Extracting #2: cost 1317 inf + 8 16.475 * * [simplify]: Extracting #3: cost 1357 inf + 84 16.482 * * [simplify]: Extracting #4: cost 1348 inf + 520 16.496 * * [simplify]: Extracting #5: cost 1214 inf + 66683 16.572 * * [simplify]: Extracting #6: cost 453 inf + 638534 16.717 * * [simplify]: Extracting #7: cost 25 inf + 1022479 16.874 * * [simplify]: Extracting #8: cost 0 inf + 1045260 17.032 * * [simplify]: Extracting #9: cost 0 inf + 1045115 17.189 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1 (+ N (fma N N 1))))) (log1p (sqrt (atan2 1 (+ N (fma N N 1))))) (log (sqrt (atan2 1 (+ N (fma N N 1))))) (exp (sqrt (atan2 1 (+ N (fma N N 1))))) (* (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1)))))) (cbrt (sqrt (atan2 1 (+ N (fma N N 1))))) (* (atan2 1 (+ N (fma N N 1))) (sqrt (atan2 1 (+ N (fma N N 1))))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) 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))))) (* (atan2 1 (+ N (fma N N 1))) (sqrt (atan2 1 (+ N (fma N N 1))))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) 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))))) (* (atan2 1 (+ N (fma N N 1))) (sqrt (atan2 1 (+ N (fma N N 1))))) (fabs (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (cbrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) (sqrt (sqrt (atan2 1 (+ N (fma N N 1))))) 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 (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)))) (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))) 17.193 * * * [progress]: adding candidates to table 17.769 * [progress]: [Phase 3 of 3] Extracting. 17.769 * * [regime]: Finding splitpoints for: (# # # # # # # #) 17.770 * * * [regime-changes]: Trying 1 branch expressions: (N) 17.770 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 17.804 * * * [regime]: Found split indices: #