24.742 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.074 * [simplify]: Simplifying: (- (atan (+ N 1)) (atan N)) 0.074 * * [simplify]: iteration 0: 6 enodes 0.076 * * [simplify]: iteration 1: 11 enodes 0.079 * * [simplify]: iteration 2: 12 enodes 0.082 * * [simplify]: iteration complete: 12 enodes 0.082 * * [simplify]: Extracting #0: cost 1 inf + 0 0.082 * * [simplify]: Extracting #1: cost 4 inf + 0 0.082 * * [simplify]: Extracting #2: cost 6 inf + 0 0.082 * * [simplify]: Extracting #3: cost 4 inf + 253 0.082 * * [simplify]: Extracting #4: cost 0 inf + 735 0.082 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.124 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.127 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.127 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.127 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.128 * [taylor]: Taking taylor expansion of (atan N) in N 0.128 * [backup-simplify]: Simplify (atan N) into (atan N) 0.128 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.128 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.128 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.128 * [taylor]: Taking taylor expansion of (atan N) in N 0.128 * [backup-simplify]: Simplify (atan N) into (atan N) 0.128 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.128 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.128 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.134 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.134 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.134 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.134 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.134 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.134 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.134 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.134 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.134 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.135 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.135 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.140 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.140 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.140 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.140 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.140 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.140 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.140 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.140 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.140 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.140 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.140 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.141 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.141 * [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 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [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 (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.145 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.145 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.145 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.145 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.145 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.146 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [backup-simplify]: Simplify 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 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.146 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.146 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.147 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.147 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 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 (/ 1 N))) in N 0.147 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.147 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.148 * * * [progress]: simplifying candidates 0.148 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 0.148 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.149 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 0.149 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.150 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 0.150 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 0.151 * [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)) 0.152 * * [simplify]: iteration 0: 67 enodes 0.170 * * [simplify]: iteration 1: 140 enodes 0.235 * * [simplify]: iteration 2: 288 enodes 0.394 * * [simplify]: iteration 3: 773 enodes 0.745 * * [simplify]: iteration 4: 2004 enodes 1.092 * * [simplify]: iteration complete: 2004 enodes 1.092 * * [simplify]: Extracting #0: cost 30 inf + 0 1.093 * * [simplify]: Extracting #1: cost 176 inf + 2 1.094 * * [simplify]: Extracting #2: cost 431 inf + 1529 1.099 * * [simplify]: Extracting #3: cost 373 inf + 39266 1.115 * * [simplify]: Extracting #4: cost 108 inf + 150865 1.136 * * [simplify]: Extracting #5: cost 4 inf + 198758 1.161 * * [simplify]: Extracting #6: cost 0 inf + 200409 1.183 * [simplify]: Simplified to: (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (- (atan (+ 1 N)) (atan N)) 0 (expm1 (- (atan (+ 1 N)) (atan N))) (log1p (- (atan (+ 1 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1 (fma N (+ 1 N) 1) (exp (- (atan (+ 1 N)) (atan N))) (log (- (atan (+ 1 N)) (atan N))) (exp (- (atan (+ 1 N)) (atan N))) (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N))) (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))) (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N))) (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))) (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))) (- (atan N)) (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N)) (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (atan (+ 1 N)) (atan N)) (- (atan N)) (real->posit16 (- (atan (+ 1 N)) (atan N))) (expm1 (atan (+ 1 N))) (log1p (atan (+ 1 N))) (log (atan (+ 1 N))) (exp (atan (+ 1 N))) (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N))) (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N))) (real->posit16 (atan (+ 1 N))) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan (+ 1 N)) (atan (+ 1 N)) 1.186 * * * [progress]: adding candidates to table 1.450 * * [progress]: iteration 2 / 4 1.450 * * * [progress]: picking best candidate 1.454 * * * * [pick]: Picked # 1.454 * * * [progress]: localizing error 1.464 * * * [progress]: generating rewritten candidates 1.464 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.464 * * * [progress]: generating series expansions 1.464 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.464 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.464 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 1.464 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.464 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.464 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 1.464 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.465 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.465 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.465 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 1.465 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.465 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.465 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 1.465 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.465 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.466 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.466 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 1.466 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.466 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.466 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 1.466 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.466 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 1.467 * * * [progress]: simplifying candidates 1.467 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))> 1.467 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 1.467 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 1.468 * [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)) 1.468 * * [simplify]: iteration 0: 18 enodes 1.474 * * [simplify]: iteration 1: 25 enodes 1.477 * * [simplify]: iteration 2: 37 enodes 1.483 * * [simplify]: iteration 3: 62 enodes 1.492 * * [simplify]: iteration 4: 133 enodes 1.534 * * [simplify]: iteration 5: 223 enodes 1.578 * * [simplify]: iteration 6: 378 enodes 1.722 * * [simplify]: iteration 7: 554 enodes 1.864 * * [simplify]: iteration 8: 834 enodes 2.211 * * [simplify]: iteration 9: 1660 enodes 2.576 * * [simplify]: iteration 10: 2004 enodes 2.879 * * [simplify]: iteration complete: 2004 enodes 2.879 * * [simplify]: Extracting #0: cost 10 inf + 0 2.880 * * [simplify]: Extracting #1: cost 64 inf + 0 2.881 * * [simplify]: Extracting #2: cost 288 inf + 4 2.882 * * [simplify]: Extracting #3: cost 285 inf + 7153 2.901 * * [simplify]: Extracting #4: cost 156 inf + 113289 2.933 * * [simplify]: Extracting #5: cost 32 inf + 229892 2.964 * * [simplify]: Extracting #6: cost 0 inf + 264702 3.000 * * [simplify]: Extracting #7: cost 0 inf + 264280 3.028 * * [simplify]: Extracting #8: cost 0 inf + 264240 3.060 * [simplify]: Simplified to: (expm1 (atan2 1 (fma N (+ N 1) 1))) (log1p (atan2 1 (fma N (+ N 1) 1))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 3.060 * * * [progress]: adding candidates to table 3.141 * * [progress]: iteration 3 / 4 3.141 * * * [progress]: picking best candidate 3.146 * * * * [pick]: Picked # 3.146 * * * [progress]: localizing error 3.164 * * * [progress]: generating rewritten candidates 3.164 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.166 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.167 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.168 * * * [progress]: generating series expansions 3.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.168 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.168 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.168 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.168 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.168 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.168 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.168 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.172 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.172 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.172 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.172 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.172 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.172 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.172 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.172 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.172 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.172 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.173 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.176 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.176 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.176 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.176 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.176 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.176 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.177 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.177 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.177 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.180 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.180 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.180 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.180 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.180 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.181 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.181 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.181 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.184 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.184 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.184 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.184 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.184 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.184 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.184 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.185 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.186 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.188 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.188 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.188 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.188 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.188 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.188 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.188 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.188 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.192 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.192 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.192 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 3.192 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.192 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.192 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.192 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.192 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.192 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.193 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 3.193 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.193 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.193 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.193 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 3.193 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.194 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.194 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.194 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.194 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.194 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.194 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 3.194 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.194 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.194 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.194 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.194 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.195 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 3.195 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.195 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.195 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 3.195 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.195 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.195 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.196 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.196 * * * [progress]: simplifying candidates 3.196 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 3.196 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 3.197 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 3.197 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 3.197 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 3.197 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 3.198 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 3.198 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 3.199 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 3.199 * * [simplify]: iteration 0: 34 enodes 3.206 * * [simplify]: iteration 1: 47 enodes 3.212 * * [simplify]: iteration 2: 70 enodes 3.224 * * [simplify]: iteration 3: 110 enodes 3.256 * * [simplify]: iteration 4: 207 enodes 3.313 * * [simplify]: iteration 5: 383 enodes 3.410 * * [simplify]: iteration 6: 830 enodes 3.667 * * [simplify]: iteration 7: 2000 enodes 3.941 * * [simplify]: iteration complete: 2000 enodes 3.941 * * [simplify]: Extracting #0: cost 23 inf + 0 3.941 * * [simplify]: Extracting #1: cost 142 inf + 2 3.942 * * [simplify]: Extracting #2: cost 454 inf + 465 3.945 * * [simplify]: Extracting #3: cost 471 inf + 3741 3.951 * * [simplify]: Extracting #4: cost 286 inf + 60242 3.969 * * [simplify]: Extracting #5: cost 78 inf + 183698 3.999 * * [simplify]: Extracting #6: cost 7 inf + 241855 4.027 * * [simplify]: Extracting #7: cost 0 inf + 249185 4.058 * [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))) (log (atan2 1 (fma N (+ N 1) 1))) (exp (atan2 1 (fma N (+ N 1) 1))) (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1))) (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (real->posit16 (atan2 1 (fma N (+ N 1) 1))) (expm1 (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)) 4.061 * * * [progress]: adding candidates to table 4.489 * * [progress]: iteration 4 / 4 4.490 * * * [progress]: picking best candidate 4.498 * * * * [pick]: Picked # 4.498 * * * [progress]: localizing error 4.520 * * * [progress]: generating rewritten candidates 4.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.521 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.522 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.523 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.524 * * * [progress]: generating series expansions 4.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.524 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.524 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 4.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.524 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.524 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.524 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.524 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.524 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.525 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.525 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.528 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.528 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 4.528 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.528 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.528 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.528 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.529 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.529 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.529 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.529 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.529 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.529 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [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 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.532 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.532 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 4.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.532 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.533 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.533 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.533 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.533 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.533 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.533 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.533 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.533 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.535 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [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 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.537 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.537 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 4.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.537 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.537 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.537 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.537 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.537 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.537 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.537 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.539 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.540 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.540 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 4.540 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.540 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.540 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.540 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.541 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.541 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.541 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.541 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.541 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.542 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.544 * [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 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.544 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.544 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 4.544 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.544 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.544 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.545 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.545 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.545 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.545 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.545 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.545 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.545 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.548 * [backup-simplify]: Simplify 0 into 0 4.549 * [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 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.549 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.549 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 4.549 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.549 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.549 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.549 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.549 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 4.549 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.549 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.550 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.550 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.553 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.553 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 4.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.553 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.553 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.553 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.554 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 4.554 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.554 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.554 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.554 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 4.554 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.555 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [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 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.557 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.557 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 4.557 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.557 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.558 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.558 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.558 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 4.558 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.558 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.558 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.558 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.562 * [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 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.562 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.562 * [backup-simplify]: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.562 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 4.562 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.562 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.562 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 4.562 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.562 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.563 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 4.563 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.563 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.563 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 4.563 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.563 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.563 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 4.564 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.564 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 4.564 * * * [progress]: simplifying candidates 4.564 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 4.564 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))> 4.565 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 4.565 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 4.565 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 4.566 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 4.566 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 4.566 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))))> 4.571 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 4.571 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ 1 N) 1)))))))> 4.572 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 4.572 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 4.573 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log1p (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (log (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (exp (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1))))) (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (* (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1))))) (sqrt (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt 1) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (real->posit16 (sqrt (atan2 1 (fma N (+ 1 N) 1)))) (expm1 (atan2 1 (fma N (+ 1 N) 1))) (log1p (atan2 1 (fma N (+ 1 N) 1))) (log (atan2 1 (fma N (+ 1 N) 1))) (exp (atan2 1 (fma N (+ 1 N) 1))) (* (cbrt (atan2 1 (fma N (+ 1 N) 1))) (cbrt (atan2 1 (fma N (+ 1 N) 1)))) (cbrt (atan2 1 (fma N (+ 1 N) 1))) (* (* (atan2 1 (fma N (+ 1 N) 1)) (atan2 1 (fma N (+ 1 N) 1))) (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1))) (real->posit16 (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1)) 4.574 * * [simplify]: iteration 0: 34 enodes 4.580 * * [simplify]: iteration 1: 47 enodes 4.586 * * [simplify]: iteration 2: 70 enodes 4.598 * * [simplify]: iteration 3: 110 enodes 4.614 * * [simplify]: iteration 4: 207 enodes 4.664 * * [simplify]: iteration 5: 383 enodes 4.744 * * [simplify]: iteration 6: 830 enodes 4.966 * * [simplify]: iteration 7: 2000 enodes 5.238 * * [simplify]: iteration complete: 2000 enodes 5.238 * * [simplify]: Extracting #0: cost 23 inf + 0 5.239 * * [simplify]: Extracting #1: cost 142 inf + 2 5.240 * * [simplify]: Extracting #2: cost 454 inf + 465 5.243 * * [simplify]: Extracting #3: cost 471 inf + 3741 5.250 * * [simplify]: Extracting #4: cost 286 inf + 60242 5.269 * * [simplify]: Extracting #5: cost 78 inf + 183698 5.296 * * [simplify]: Extracting #6: cost 7 inf + 241855 5.326 * * [simplify]: Extracting #7: cost 0 inf + 249185 5.354 * [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 (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))) (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))) (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)) 5.359 * * * [progress]: adding candidates to table 5.911 * [progress]: [Phase 3 of 3] Extracting. 5.911 * * [regime]: Finding splitpoints for: (# # # #) 5.911 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.911 * * * * [regimes]: Trying to branch on N from (# # # #) 5.935 * * * [regime]: Found split indices: #