0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.079 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.079 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.079 * * [simplify]: iteration 1: (6 enodes) 0.082 * * [simplify]: iteration 2: (23 enodes) 0.089 * * [simplify]: iteration 3: (28 enodes) 0.098 * * [simplify]: Extracting #0: cost 1 inf + 0 0.098 * * [simplify]: Extracting #1: cost 5 inf + 0 0.098 * * [simplify]: Extracting #2: cost 10 inf + 0 0.098 * * [simplify]: Extracting #3: cost 11 inf + 1 0.098 * * [simplify]: Extracting #4: cost 6 inf + 298 0.098 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.099 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.099 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.107 * * * * [pick]: Picked # 0.107 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.138 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.138 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.138 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.139 * [taylor]: Taking taylor expansion of (atan N) in N 0.139 * [backup-simplify]: Simplify (atan N) into (atan N) 0.139 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.139 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.139 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.139 * [taylor]: Taking taylor expansion of (atan N) in N 0.139 * [backup-simplify]: Simplify (atan N) into (atan N) 0.139 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.139 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.139 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.143 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.143 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.143 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.143 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.143 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.143 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.143 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.143 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.147 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.147 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.147 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.147 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.147 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.147 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.147 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.147 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.147 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.147 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.147 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.147 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.147 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 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 0.148 * [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 0.149 * [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 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.150 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.151 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.151 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.151 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.152 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.152 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.152 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.152 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.152 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.152 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.152 * [backup-simplify]: Simplify 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 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.152 * * * [progress]: simplifying candidates 0.152 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.152 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.153 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.153 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.154 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.154 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.154 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.154 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.154 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.154 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.154 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))), (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))), (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))), (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))), (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))), (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))), (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma 1 (atan (+ N 1)) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (expm1 (- (atan (+ N 1)) (atan N))), (log1p (- (atan (+ N 1)) (atan N))), (- (atan N)), (- (atan N)), (- (atan N)), (- (+ N 1) N), (+ 1 (* (+ N 1) N)), (/ (exp (atan (+ N 1))) (exp (atan N))), (log (- (atan (+ N 1)) (atan N))), (exp (- (atan (+ N 1)) (atan N))), (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))), (cbrt (- (atan (+ N 1)) (atan N))), (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))), (sqrt (- (atan (+ N 1)) (atan N))), (sqrt (- (atan (+ N 1)) (atan N))), (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)), (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))), (- (atan N)), (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))), (+ (atan (+ N 1)) (atan N)), (+ (sqrt (atan (+ N 1))) (sqrt (atan N))), (- (sqrt (atan (+ N 1))) (sqrt (atan N))), (- (atan (+ N 1)) (atan N)), (- (atan N)), (real->posit16 (- (atan (+ N 1)) (atan N))), (expm1 (atan (+ N 1))), (log1p (atan (+ N 1))), (log (atan (+ N 1))), (exp (atan (+ N 1))), (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))), (cbrt (atan (+ N 1))), (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))), (sqrt (atan (+ N 1))), (sqrt (atan (+ N 1))), (real->posit16 (atan (+ N 1))), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (atan (+ N 1)), (atan (+ N 1)), (atan (+ N 1)) 0.155 * * [simplify]: iteration 1: (67 enodes) 0.193 * * [simplify]: iteration 2: (250 enodes) 0.257 * * [simplify]: iteration 3: (433 enodes) 0.408 * * [simplify]: iteration 4: (906 enodes) 0.813 * * [simplify]: Extracting #0: cost 30 inf + 0 0.814 * * [simplify]: Extracting #1: cost 165 inf + 2 0.816 * * [simplify]: Extracting #2: cost 448 inf + 3231 0.821 * * [simplify]: Extracting #3: cost 459 inf + 33236 0.861 * * [simplify]: Extracting #4: cost 136 inf + 165530 0.910 * * [simplify]: Extracting #5: cost 17 inf + 226012 0.937 * * [simplify]: Extracting #6: cost 0 inf + 234790 0.973 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (expm1 (- (atan (+ 1 N)) (atan N))), (log1p (- (atan (+ 1 N)) (atan N))), (- (atan N)), (- (atan N)), (- (atan N)), 1, (fma N (+ 1 N) 1), (exp (- (atan (+ 1 N)) (atan N))), (log (- (atan (+ 1 N)) (atan N))), (exp (- (atan (+ 1 N)) (atan N))), (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))), (cbrt (- (atan (+ 1 N)) (atan N))), (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))), (sqrt (- (atan (+ 1 N)) (atan N))), (sqrt (- (atan (+ 1 N)) (atan N))), (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))), (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))), (- (atan N)), (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))), (+ (atan (+ 1 N)) (atan N)), (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))), (- (sqrt (atan (+ 1 N))) (sqrt (atan N))), (- (atan (+ 1 N)) (atan N)), (- (atan N)), (real->posit16 (- (atan (+ 1 N)) (atan N))), (expm1 (atan (+ 1 N))), (log1p (atan (+ 1 N))), (log (atan (+ 1 N))), (exp (atan (+ 1 N))), (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))), (cbrt (atan (+ 1 N))), (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (real->posit16 (atan (+ 1 N))), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (atan (+ 1 N)), (atan (+ 1 N)), (atan (+ 1 N)) 0.975 * * * [progress]: adding candidates to table 1.285 * * [progress]: iteration 2 / 4 1.285 * * * [progress]: picking best candidate 1.287 * * * * [pick]: Picked # 1.287 * * * [progress]: localizing error 1.306 * * * [progress]: generating rewritten candidates 1.306 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.307 * * * [progress]: generating series expansions 1.307 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.307 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.307 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.307 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.307 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.307 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.307 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.308 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.308 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.308 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.308 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.308 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.308 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.309 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.309 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.309 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.309 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.310 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.310 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.310 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.310 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.310 * * * [progress]: simplifying candidates 1.310 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.311 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.311 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.312 * [simplify]: Simplifying (expm1 (atan2 1 (fma N (+ 1 N) 1))), (log1p (atan2 1 (fma N (+ 1 N) 1))), (log (atan2 1 (fma N (+ 1 N) 1))), (exp (atan2 1 (fma N (+ 1 N) 1))), (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (cbrt (atan2 1 (fma N (+ 1 N) 1))), (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (real->posit16 (atan2 1 (fma N (+ 1 N) 1))), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)) 1.312 * * [simplify]: iteration 1: (18 enodes) 1.320 * * [simplify]: iteration 2: (58 enodes) 1.334 * * [simplify]: iteration 3: (74 enodes) 1.348 * * [simplify]: iteration 4: (88 enodes) 1.360 * * [simplify]: iteration 5: (108 enodes) 1.376 * * [simplify]: iteration 6: (141 enodes) 1.400 * * [simplify]: iteration 7: (192 enodes) 1.432 * * [simplify]: iteration 8: (294 enodes) 1.501 * * [simplify]: iteration 9: (569 enodes) 1.842 * * [simplify]: iteration 10: (1511 enodes) 5.439 * * [simplify]: Extracting #0: cost 10 inf + 0 5.439 * * [simplify]: Extracting #1: cost 168 inf + 0 5.443 * * [simplify]: Extracting #2: cost 969 inf + 4 5.448 * * [simplify]: Extracting #3: cost 978 inf + 17 5.453 * * [simplify]: Extracting #4: cost 970 inf + 450 5.465 * * [simplify]: Extracting #5: cost 838 inf + 109931 5.592 * * [simplify]: Extracting #6: cost 194 inf + 807012 5.737 * * [simplify]: Extracting #7: cost 6 inf + 988621 5.920 * * [simplify]: Extracting #8: cost 0 inf + 991405 6.074 * * [simplify]: Extracting #9: cost 0 inf + 990277 6.219 * [simplify]: Simplified to (expm1 (atan2 1 (fma N (+ N 1) 1))), (log1p (atan2 1 (fma N (+ N 1) 1))), (log (atan2 1 (fma N (+ N 1) 1))), (exp (atan2 1 (fma N (+ N 1) 1))), (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))), (cbrt (atan2 1 (fma N (+ N 1) 1))), (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (real->posit16 (atan2 1 (fma N (+ N 1) 1))), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)) 6.219 * * * [progress]: adding candidates to table 6.293 * * [progress]: iteration 3 / 4 6.293 * * * [progress]: picking best candidate 6.302 * * * * [pick]: Picked # 6.302 * * * [progress]: localizing error 6.317 * * * [progress]: generating rewritten candidates 6.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.331 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.333 * * * [progress]: generating series expansions 6.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.333 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 6.333 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.333 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.333 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.333 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.333 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.333 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.333 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.334 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.337 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.337 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 6.337 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.337 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.337 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.337 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.337 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.337 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.338 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.338 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.338 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.338 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.341 * [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 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.341 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.341 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 6.341 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.341 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.341 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.342 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.342 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.342 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.342 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.342 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.342 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.342 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.344 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.345 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.345 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.345 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 6.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.345 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.346 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.346 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.346 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 6.346 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.346 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.346 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.346 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.346 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.349 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 6.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.349 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.349 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.349 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.349 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 6.349 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.350 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.350 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.350 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.353 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 6.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.353 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.353 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.353 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 6.353 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.354 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.354 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.354 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.354 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 6.358 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.358 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1)) 6.358 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 6.358 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.358 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.358 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.358 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.358 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.358 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.358 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 6.358 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.359 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.359 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.359 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 6.359 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.359 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.359 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.360 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.360 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 6.360 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.360 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 6.360 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.360 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.360 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 6.360 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.361 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.361 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 6.361 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.361 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.361 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 6.362 * * * [progress]: simplifying candidates 6.362 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 6.362 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 6.362 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 6.363 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 6.363 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 6.364 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 6.365 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 6.365 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 6.365 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 6.366 * [simplify]: Simplifying (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt 1), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (/ 1 2), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt 1), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (/ 1 2), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (expm1 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (log1p (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (+ 1/2 1/2), (+ 1/2 (/ 1 2)), (+ 1 1), (+ (/ 1 2) 1/2), (+ (/ 1 2) (/ 1 2)), (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))), (+ 1 1), (+ (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (log (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (exp (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))), (cbrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))), (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt 1) (sqrt 1)), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* 1 1), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* 2 1/2), (* 2 1), (* 2 (/ 1 2)), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt 1)), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 1), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (expm1 (atan2 1 (fma N (+ 1 N) 1))), (log1p (atan2 1 (fma N (+ 1 N) 1))), (log (atan2 1 (fma N (+ 1 N) 1))), (exp (atan2 1 (fma N (+ 1 N) 1))), (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (cbrt (atan2 1 (fma N (+ 1 N) 1))), (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (real->posit16 (atan2 1 (fma N (+ 1 N) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)) 6.368 * * [simplify]: iteration 1: (69 enodes) 6.395 * * [simplify]: iteration 2: (211 enodes) 6.434 * * [simplify]: iteration 3: (295 enodes) 6.485 * * [simplify]: iteration 4: (493 enodes) 6.628 * * [simplify]: iteration 5: (938 enodes) 7.754 * * [simplify]: Extracting #0: cost 30 inf + 0 7.754 * * [simplify]: Extracting #1: cost 232 inf + 3 7.757 * * [simplify]: Extracting #2: cost 706 inf + 11 7.762 * * [simplify]: Extracting #3: cost 701 inf + 6150 7.778 * * [simplify]: Extracting #4: cost 498 inf + 109073 7.844 * * [simplify]: Extracting #5: cost 93 inf + 385034 7.929 * * [simplify]: Extracting #6: cost 0 inf + 462226 8.017 * [simplify]: Simplified to (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log (sqrt (atan2 1 (fma N (+ N 1) 1)))), (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), 1, (sqrt (atan2 1 (fma N (+ N 1) 1))), 1/2, (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log (sqrt (atan2 1 (fma N (+ N 1) 1)))), (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (atan2 1 (fma N (+ N 1) 1)) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), 1, (sqrt (atan2 1 (fma N (+ N 1) 1))), 1/2, (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (expm1 (atan2 1 (fma N (+ N 1) 1))), (log1p (atan2 1 (fma N (+ N 1) 1))), 1, 1, 2, 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))), 2, (log (atan2 1 (fma N (+ N 1) 1))), (log (atan2 1 (fma N (+ N 1) 1))), (exp (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)))), (* (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)))), (* (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))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (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))), (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))), 1, (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))), 1, (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))), 1, 2, 1, (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (fabs (cbrt (atan2 1 (fma N (+ N 1) 1))))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (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 (sqrt (atan2 1 (fma N (+ N 1) 1))))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (atan2 1 (fma N (+ N 1) 1)), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (atan2 1 (fma N (+ N 1) 1)), (real->posit16 (atan2 1 (fma N (+ N 1) 1))), (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))), (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)) 8.022 * * * [progress]: adding candidates to table 8.947 * * [progress]: iteration 4 / 4 8.947 * * * [progress]: picking best candidate 8.962 * * * * [pick]: Picked # 8.962 * * * [progress]: localizing error 8.986 * * * [progress]: generating rewritten candidates 8.986 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.987 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 8.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.022 * * * [progress]: generating series expansions 9.022 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.022 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.022 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 9.022 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.022 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.022 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.022 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.023 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.023 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.023 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.023 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.023 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.023 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.025 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.027 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.027 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 9.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.027 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.027 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.027 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.027 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.027 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.027 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.027 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [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 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.031 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.031 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 9.031 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.031 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.031 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.031 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.031 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.031 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.031 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.032 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.032 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [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 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.035 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.035 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.035 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 9.035 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.035 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.035 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.035 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.036 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.036 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.036 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.036 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.036 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.037 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.038 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.039 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.039 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 9.039 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.039 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.039 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.039 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.039 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.039 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.039 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.040 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.040 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.040 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.045 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.047 * [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 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.047 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.047 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 9.047 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.047 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.047 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.047 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.047 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.047 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.048 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.048 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.048 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.051 * [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 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.051 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 9.051 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.051 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 9.051 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.051 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.051 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.051 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.051 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 9.052 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.052 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.054 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.055 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.055 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 9.055 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.055 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.055 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.055 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.055 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 9.055 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.055 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.055 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.056 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.056 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.057 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.059 * [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 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.059 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.059 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 9.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.059 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.059 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.059 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 9.059 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.060 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.060 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.060 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.060 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.063 * [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 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 9.063 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.063 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ N 1) 1)) 9.063 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 9.063 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.063 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.063 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 9.064 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.064 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.064 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.064 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 9.064 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.064 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.064 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 9.064 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.064 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.065 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) (sqrt (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.065 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 9.065 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.065 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.065 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 9.065 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.065 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 9.066 * * * [progress]: simplifying candidates 9.066 * * * * [progress]: [ 1 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 2 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 3 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 4 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 5 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 6 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 7 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 8 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 9 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 10 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 11 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 12 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 13 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 14 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 15 / 115 ] simplifiying candidate # 9.066 * * * * [progress]: [ 16 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 9.067 * * * * [progress]: [ 17 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 18 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 19 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 20 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 21 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 22 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 23 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 24 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 25 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 26 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 27 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 28 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 29 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 30 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 31 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 32 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 9.067 * * * * [progress]: [ 33 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 34 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 35 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 36 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 37 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 38 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 39 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 40 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 41 / 115 ] simplifiying candidate # 9.067 * * * * [progress]: [ 42 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 43 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 44 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 45 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 46 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 47 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 48 / 115 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 9.068 * * * * [progress]: [ 49 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 50 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 51 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 52 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 53 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 54 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 55 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 56 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 57 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 58 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 59 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 60 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 61 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 62 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 63 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 64 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 65 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 66 / 115 ] simplifiying candidate # 9.068 * * * * [progress]: [ 67 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 68 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 69 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 70 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 71 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 72 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 73 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 74 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 75 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 76 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 77 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 78 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 79 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 80 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 81 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 82 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 83 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 84 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 85 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 86 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 87 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 88 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 89 / 115 ] simplifiying candidate # 9.069 * * * * [progress]: [ 90 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 91 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 92 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 93 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 94 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 95 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 96 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 97 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 98 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 99 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 100 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 101 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 102 / 115 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 9.070 * * * * [progress]: [ 103 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 104 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 105 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 106 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 107 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 108 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 109 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 110 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 111 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 112 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 113 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 114 / 115 ] simplifiying candidate # 9.070 * * * * [progress]: [ 115 / 115 ] simplifiying candidate # 9.071 * [simplify]: Simplifying (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt 1), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (/ 1 2), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt 1), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (/ 1 2), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt 1), (sqrt (atan2 1 (fma N (+ 1 N) 1))), (/ 1 2), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (expm1 (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (log1p (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (+ (+ 1/2 1/2) 1), (+ (+ 1/2 (/ 1 2)) 1), (+ (+ (/ 1/2 2) (/ 1/2 2)) 1/2), (+ (+ (/ 1/2 2) (/ 1/2 2)) (/ 1 2)), (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1/2), (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (/ 1 2)), (+ (+ (/ 1 2) 1/2) 1), (+ (+ (/ 1 2) (/ 1 2)) 1), (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1/2), (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2)), (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1/2), (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (/ 1 2)), (+ (* 2 1/2) 1), (+ (* 2 (/ 1/2 2)) 1/2), (+ (* 2 (/ 1/2 2)) (/ 1 2)), (+ (* 2 (/ 1 2)) 1), (+ (* 2 (/ (/ 1 2) 2)) 1/2), (+ (* 2 (/ (/ 1 2) 2)) (/ 1 2)), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (atan2 1 (fma N (+ 1 N) 1))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (atan2 1 (fma N (+ 1 N) 1))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (+ (+ 1/2 1/2) 1), (+ (+ 1/2 (/ 1 2)) 1), (+ (+ (/ 1 2) 1/2) 1), (+ (+ (/ 1 2) (/ 1 2)) 1), (+ (* 2 1/2) 1), (+ (* 2 (/ 1 2)) 1), (+ (+ (log (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (log (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (+ (log (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (log (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (exp (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (cbrt (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))), (cbrt (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (atan2 1 (fma N (+ 1 N) 1))), (sqrt (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt 1)), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) 1), (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))), (real->posit16 (* (* (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1))))), (sqrt (atan2 1 (fma N (+ 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)) 9.073 * * [simplify]: iteration 1: (89 enodes) 9.168 * * [simplify]: iteration 2: (320 enodes) 9.212 * * [simplify]: iteration 3: (556 enodes) 9.368 * * [simplify]: iteration 4: (869 enodes) 9.536 * * [simplify]: iteration 5: (1151 enodes) 9.992 * * [simplify]: Extracting #0: cost 28 inf + 0 9.993 * * [simplify]: Extracting #1: cost 154 inf + 3 9.995 * * [simplify]: Extracting #2: cost 347 inf + 10 9.997 * * [simplify]: Extracting #3: cost 361 inf + 4734 10.003 * * [simplify]: Extracting #4: cost 252 inf + 52842 10.024 * * [simplify]: Extracting #5: cost 74 inf + 159384 10.058 * * [simplify]: Extracting #6: cost 5 inf + 204596 10.089 * * [simplify]: Extracting #7: cost 0 inf + 208999 10.122 * [simplify]: Simplified to (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log (sqrt (atan2 1 (fma N (+ N 1) 1)))), (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))), (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), 1, (sqrt (atan2 1 (fma N (+ N 1) 1))), 1/2, (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log (sqrt (atan2 1 (fma N (+ N 1) 1)))), (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))), (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), 1, (sqrt (atan2 1 (fma N (+ N 1) 1))), 1/2, (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (expm1 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log1p (sqrt (atan2 1 (fma N (+ N 1) 1)))), (log (sqrt (atan2 1 (fma N (+ N 1) 1)))), (exp (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1))))), (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))), (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), 1, (sqrt (atan2 1 (fma N (+ N 1) 1))), 1/2, (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))), (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))), (expm1 (atan2 1 (fma N (+ N 1) 1))), (log1p (atan2 1 (fma N (+ N 1) 1))), 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 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)), 2, 2, 2, 2, 2, 2, (log (atan2 1 (fma N (+ N 1) 1))), (log (atan2 1 (fma N (+ N 1) 1))), (log (atan2 1 (fma N (+ N 1) 1))), (exp (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)))), (* (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)))), (* (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))), (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))) (* (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ N 1) 1)))))), (* (fabs (cbrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1)))), (* (sqrt (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 (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 (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))), (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)) 10.128 * * * [progress]: adding candidates to table 10.921 * [progress]: [Phase 3 of 3] Extracting. 10.921 * * [regime]: Finding splitpoints for: (# # # # # # #) 10.922 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 10.922 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 10.954 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 10.987 * * * [regime]: Found split indices: #