0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.043 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.043 * * [simplify]: iters left: 5 (6 enodes) 0.047 * * [simplify]: iters left: 4 (23 enodes) 0.054 * * [simplify]: iters left: 3 (28 enodes) 0.061 * * [simplify]: Extracting #0: cost 1 inf + 0 0.061 * * [simplify]: Extracting #1: cost 5 inf + 0 0.061 * * [simplify]: Extracting #2: cost 10 inf + 0 0.061 * * [simplify]: Extracting #3: cost 11 inf + 1 0.062 * * [simplify]: Extracting #4: cost 6 inf + 298 0.062 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.062 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.063 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.063 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.117 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.120 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.120 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.120 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.120 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.122 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.122 * [taylor]: Taking taylor expansion of (atan N) in N 0.122 * [backup-simplify]: Simplify (atan N) into (atan N) 0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.122 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.122 * [taylor]: Taking taylor expansion of (atan N) in N 0.122 * [backup-simplify]: Simplify (atan N) into (atan N) 0.123 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.123 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.123 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.128 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.129 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.129 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.129 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.129 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.129 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.129 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.129 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.129 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.129 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.130 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [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 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.135 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.135 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.135 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.135 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.136 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.136 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.136 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.136 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.136 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.136 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.136 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.136 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.142 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.142 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.142 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.143 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.144 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.144 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.144 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.144 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.144 * * * [progress]: simplifying candidates 0.144 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.145 * [simplify]: Simplifying (- (+ N 1) N) 0.145 * * [simplify]: iters left: 4 (4 enodes) 0.147 * * [simplify]: iters left: 3 (19 enodes) 0.150 * * [simplify]: iters left: 2 (33 enodes) 0.156 * * [simplify]: iters left: 1 (39 enodes) 0.161 * * [simplify]: Extracting #0: cost 1 inf + 0 0.161 * * [simplify]: Extracting #1: cost 0 inf + 1 0.161 * [simplify]: Simplified to 1 0.162 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 0.162 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 0.162 * * [simplify]: iters left: 6 (5 enodes) 0.164 * * [simplify]: iters left: 5 (20 enodes) 0.167 * * [simplify]: iters left: 4 (29 enodes) 0.171 * * [simplify]: iters left: 3 (31 enodes) 0.175 * * [simplify]: Extracting #0: cost 1 inf + 0 0.175 * * [simplify]: Extracting #1: cost 4 inf + 0 0.175 * * [simplify]: Extracting #2: cost 7 inf + 1 0.175 * * [simplify]: Extracting #3: cost 2 inf + 493 0.175 * * [simplify]: Extracting #4: cost 0 inf + 574 0.176 * [simplify]: Simplified to (+ (* (+ N 1) N) 1) 0.176 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1))) 0.176 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.176 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 0.176 * * [simplify]: iters left: 6 (8 enodes) 0.178 * * [simplify]: iters left: 5 (29 enodes) 0.182 * * [simplify]: iters left: 4 (35 enodes) 0.187 * * [simplify]: iters left: 3 (40 enodes) 0.193 * * [simplify]: iters left: 2 (44 enodes) 0.199 * * [simplify]: iters left: 1 (48 enodes) 0.209 * * [simplify]: Extracting #0: cost 1 inf + 0 0.209 * * [simplify]: Extracting #1: cost 9 inf + 0 0.209 * * [simplify]: Extracting #2: cost 15 inf + 1 0.209 * * [simplify]: Extracting #3: cost 20 inf + 1 0.209 * * [simplify]: Extracting #4: cost 20 inf + 2 0.209 * * [simplify]: Extracting #5: cost 16 inf + 339 0.210 * * [simplify]: Extracting #6: cost 0 inf + 4059 0.210 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 0.210 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 0.210 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.210 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.211 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.211 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.211 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.211 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 0.211 * * [simplify]: iters left: 6 (8 enodes) 0.213 * * [simplify]: iters left: 5 (28 enodes) 0.217 * * [simplify]: iters left: 4 (30 enodes) 0.221 * * [simplify]: Extracting #0: cost 1 inf + 0 0.221 * * [simplify]: Extracting #1: cost 4 inf + 0 0.221 * * [simplify]: Extracting #2: cost 8 inf + 0 0.221 * * [simplify]: Extracting #3: cost 12 inf + 0 0.221 * * [simplify]: Extracting #4: cost 10 inf + 359 0.221 * * [simplify]: Extracting #5: cost 8 inf + 506 0.221 * * [simplify]: Extracting #6: cost 5 inf + 737 0.221 * * [simplify]: Extracting #7: cost 1 inf + 1630 0.221 * * [simplify]: Extracting #8: cost 0 inf + 2002 0.222 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 0.222 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 0.222 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 0.222 * * [simplify]: iters left: 6 (8 enodes) 0.224 * * [simplify]: iters left: 5 (29 enodes) 0.228 * * [simplify]: iters left: 4 (34 enodes) 0.233 * * [simplify]: Extracting #0: cost 1 inf + 0 0.233 * * [simplify]: Extracting #1: cost 5 inf + 0 0.233 * * [simplify]: Extracting #2: cost 10 inf + 0 0.233 * * [simplify]: Extracting #3: cost 14 inf + 0 0.233 * * [simplify]: Extracting #4: cost 15 inf + 1 0.233 * * [simplify]: Extracting #5: cost 13 inf + 108 0.233 * * [simplify]: Extracting #6: cost 5 inf + 1109 0.234 * * [simplify]: Extracting #7: cost 0 inf + 2374 0.234 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 0.234 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 0.234 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.234 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.234 * * [simplify]: iters left: 5 (6 enodes) 0.237 * * [simplify]: iters left: 4 (23 enodes) 0.243 * * [simplify]: iters left: 3 (28 enodes) 0.251 * * [simplify]: Extracting #0: cost 1 inf + 0 0.251 * * [simplify]: Extracting #1: cost 5 inf + 0 0.251 * * [simplify]: Extracting #2: cost 10 inf + 0 0.251 * * [simplify]: Extracting #3: cost 11 inf + 1 0.252 * * [simplify]: Extracting #4: cost 6 inf + 298 0.252 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.252 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.252 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.253 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 0.253 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.253 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.253 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.253 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.253 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.253 * * [simplify]: iters left: 5 (6 enodes) 0.256 * * [simplify]: iters left: 4 (23 enodes) 0.263 * * [simplify]: iters left: 3 (28 enodes) 0.271 * * [simplify]: Extracting #0: cost 1 inf + 0 0.271 * * [simplify]: Extracting #1: cost 5 inf + 0 0.271 * * [simplify]: Extracting #2: cost 10 inf + 0 0.271 * * [simplify]: Extracting #3: cost 11 inf + 1 0.271 * * [simplify]: Extracting #4: cost 6 inf + 298 0.271 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.272 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.272 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.272 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.272 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.272 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.272 * * [simplify]: iters left: 5 (6 enodes) 0.275 * * [simplify]: iters left: 4 (23 enodes) 0.283 * * [simplify]: iters left: 3 (28 enodes) 0.290 * * [simplify]: Extracting #0: cost 1 inf + 0 0.290 * * [simplify]: Extracting #1: cost 5 inf + 0 0.290 * * [simplify]: Extracting #2: cost 10 inf + 0 0.290 * * [simplify]: Extracting #3: cost 11 inf + 1 0.290 * * [simplify]: Extracting #4: cost 6 inf + 298 0.291 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.291 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.291 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.291 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.291 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.292 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.292 * * [simplify]: iters left: 5 (6 enodes) 0.295 * * [simplify]: iters left: 4 (23 enodes) 0.302 * * [simplify]: iters left: 3 (28 enodes) 0.309 * * [simplify]: Extracting #0: cost 1 inf + 0 0.309 * * [simplify]: Extracting #1: cost 5 inf + 0 0.309 * * [simplify]: Extracting #2: cost 10 inf + 0 0.309 * * [simplify]: Extracting #3: cost 11 inf + 1 0.309 * * [simplify]: Extracting #4: cost 6 inf + 298 0.310 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.310 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.310 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.310 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.311 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.311 * [simplify]: Simplifying (atan (+ N 1)) 0.311 * * [simplify]: iters left: 3 (4 enodes) 0.313 * * [simplify]: iters left: 2 (15 enodes) 0.317 * * [simplify]: iters left: 1 (17 enodes) 0.322 * * [simplify]: Extracting #0: cost 1 inf + 0 0.322 * * [simplify]: Extracting #1: cost 3 inf + 0 0.322 * * [simplify]: Extracting #2: cost 6 inf + 0 0.322 * * [simplify]: Extracting #3: cost 2 inf + 86 0.323 * * [simplify]: Extracting #4: cost 1 inf + 233 0.323 * * [simplify]: Extracting #5: cost 0 inf + 380 0.323 * [simplify]: Simplified to (atan (+ 1 N)) 0.323 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.323 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.323 * [simplify]: Simplifying (atan (+ N 1)) 0.323 * * [simplify]: iters left: 3 (4 enodes) 0.325 * * [simplify]: iters left: 2 (15 enodes) 0.330 * * [simplify]: iters left: 1 (17 enodes) 0.336 * * [simplify]: Extracting #0: cost 1 inf + 0 0.336 * * [simplify]: Extracting #1: cost 3 inf + 0 0.336 * * [simplify]: Extracting #2: cost 6 inf + 0 0.336 * * [simplify]: Extracting #3: cost 2 inf + 86 0.336 * * [simplify]: Extracting #4: cost 1 inf + 233 0.336 * * [simplify]: Extracting #5: cost 0 inf + 380 0.336 * [simplify]: Simplified to (atan (+ 1 N)) 0.336 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.336 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.336 * [simplify]: Simplifying (atan (+ N 1)) 0.337 * * [simplify]: iters left: 3 (4 enodes) 0.338 * * [simplify]: iters left: 2 (15 enodes) 0.340 * * [simplify]: iters left: 1 (17 enodes) 0.342 * * [simplify]: Extracting #0: cost 1 inf + 0 0.342 * * [simplify]: Extracting #1: cost 3 inf + 0 0.342 * * [simplify]: Extracting #2: cost 6 inf + 0 0.342 * * [simplify]: Extracting #3: cost 2 inf + 86 0.342 * * [simplify]: Extracting #4: cost 1 inf + 233 0.343 * * [simplify]: Extracting #5: cost 0 inf + 380 0.343 * [simplify]: Simplified to (atan (+ 1 N)) 0.343 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.343 * * * [progress]: adding candidates to table 0.549 * * [progress]: iteration 2 / 4 0.549 * * * [progress]: picking best candidate 0.552 * * * * [pick]: Picked # 0.552 * * * [progress]: localizing error 0.567 * * * [progress]: generating rewritten candidates 0.567 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.567 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.581 * * * [progress]: generating series expansions 0.581 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.581 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.581 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 0.582 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.582 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 0.582 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.582 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.582 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.582 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 0.582 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.582 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 0.583 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.583 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.583 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.583 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 0.583 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.584 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.584 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.584 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.584 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.584 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.584 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 0.584 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 0.584 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.584 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of 1 in N 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.584 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of 1 in N 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (+ 0 1) into 1 0.585 * [backup-simplify]: Simplify (* 1 0) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ 1 0) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 0.593 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 0.593 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 0.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of 1 in N 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (+ 1 0) into 1 0.594 * [backup-simplify]: Simplify (/ 1 1) into 1 0.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ 1 1) into 1 0.595 * [taylor]: Taking taylor expansion of 1 in N 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (+ 1 0) into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 1) into 1 0.598 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 0.598 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 0.612 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 0.612 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.612 * [taylor]: Taking taylor expansion of -1 in N 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.612 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.612 * [taylor]: Taking taylor expansion of 1 in N 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.614 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.614 * [backup-simplify]: Simplify (/ -1 1) into -1 0.614 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.614 * [taylor]: Taking taylor expansion of -1 in N 0.614 * [backup-simplify]: Simplify -1 into -1 0.614 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.614 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1 in N 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (- 1) into -1 0.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.616 * [backup-simplify]: Simplify (/ -1 1) into -1 0.616 * [backup-simplify]: Simplify (* -1 -1) into 1 0.616 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 1 0) into 1 0.619 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 0.620 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 0.620 * [backup-simplify]: Simplify -1 into -1 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 0.646 * * * [progress]: simplifying candidates 0.646 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 0.646 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 0.647 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 0.647 * [simplify]: Simplifying (* (+ N 1) N) 0.647 * * [simplify]: iters left: 4 (4 enodes) 0.650 * * [simplify]: iters left: 3 (16 enodes) 0.655 * * [simplify]: iters left: 2 (25 enodes) 0.663 * * [simplify]: iters left: 1 (27 enodes) 0.669 * * [simplify]: Extracting #0: cost 1 inf + 0 0.669 * * [simplify]: Extracting #1: cost 5 inf + 0 0.669 * * [simplify]: Extracting #2: cost 7 inf + 1 0.669 * * [simplify]: Extracting #3: cost 2 inf + 246 0.669 * * [simplify]: Extracting #4: cost 0 inf + 330 0.670 * [simplify]: Simplified to (+ (* N N) N) 0.670 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (pow (+ (* N N) N) 1)))) 0.670 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 0.670 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 0.670 * [simplify]: Simplifying (+ (log (+ N 1)) (log N)) 0.670 * * [simplify]: iters left: 5 (6 enodes) 0.673 * * [simplify]: iters left: 4 (22 enodes) 0.682 * * [simplify]: iters left: 3 (24 enodes) 0.689 * * [simplify]: Extracting #0: cost 1 inf + 0 0.689 * * [simplify]: Extracting #1: cost 4 inf + 0 0.689 * * [simplify]: Extracting #2: cost 8 inf + 0 0.689 * * [simplify]: Extracting #3: cost 7 inf + 143 0.690 * * [simplify]: Extracting #4: cost 6 inf + 144 0.690 * * [simplify]: Extracting #5: cost 0 inf + 896 0.690 * [simplify]: Simplified to (+ (log (+ 1 N)) (log N)) 0.690 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ 1 N)) (log N)))))) 0.690 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 0.690 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 0.690 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 0.691 * [simplify]: Simplifying (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) 0.691 * * [simplify]: iters left: 6 (8 enodes) 0.696 * * [simplify]: iters left: 5 (46 enodes) 0.709 * * [simplify]: iters left: 4 (112 enodes) 0.741 * * [simplify]: iters left: 3 (266 enodes) 1.004 * * [simplify]: Extracting #0: cost 1 inf + 0 1.005 * * [simplify]: Extracting #1: cost 41 inf + 0 1.005 * * [simplify]: Extracting #2: cost 143 inf + 44 1.007 * * [simplify]: Extracting #3: cost 121 inf + 6793 1.014 * * [simplify]: Extracting #4: cost 8 inf + 29851 1.022 * * [simplify]: Extracting #5: cost 0 inf + 31580 1.030 * * [simplify]: Extracting #6: cost 0 inf + 31540 1.038 * [simplify]: Simplified to (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))) 1.038 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (cbrt (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))))) 1.038 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 1.038 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 1.038 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 1.038 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 1.038 * * * * [progress]: [ 19 / 36 ] simplifiying candidate # 1.038 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N)) 1.038 * * [simplify]: iters left: 5 (6 enodes) 1.041 * * [simplify]: iters left: 4 (22 enodes) 1.048 * * [simplify]: iters left: 3 (24 enodes) 1.055 * * [simplify]: Extracting #0: cost 1 inf + 0 1.055 * * [simplify]: Extracting #1: cost 4 inf + 0 1.055 * * [simplify]: Extracting #2: cost 8 inf + 0 1.055 * * [simplify]: Extracting #3: cost 7 inf + 83 1.055 * * [simplify]: Extracting #4: cost 6 inf + 84 1.055 * * [simplify]: Extracting #5: cost 0 inf + 656 1.056 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N)) 1.056 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ 1 N)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)))))) 1.056 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N)) 1.056 * * [simplify]: iters left: 5 (6 enodes) 1.057 * * [simplify]: iters left: 4 (22 enodes) 1.061 * * [simplify]: iters left: 3 (24 enodes) 1.064 * * [simplify]: Extracting #0: cost 1 inf + 0 1.064 * * [simplify]: Extracting #1: cost 4 inf + 0 1.065 * * [simplify]: Extracting #2: cost 8 inf + 0 1.065 * * [simplify]: Extracting #3: cost 7 inf + 83 1.065 * * [simplify]: Extracting #4: cost 6 inf + 84 1.065 * * [simplify]: Extracting #5: cost 0 inf + 656 1.065 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N)) 1.065 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ 1 N)) (sqrt N)))))) 1.065 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 1.065 * [simplify]: Simplifying (cbrt N) 1.065 * * [simplify]: iters left: 1 (2 enodes) 1.066 * * [simplify]: Extracting #0: cost 1 inf + 0 1.066 * * [simplify]: Extracting #1: cost 3 inf + 0 1.066 * * [simplify]: Extracting #2: cost 2 inf + 1 1.066 * * [simplify]: Extracting #3: cost 0 inf + 163 1.066 * [simplify]: Simplified to (cbrt N) 1.066 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) 1.066 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 1.066 * [simplify]: Simplifying (sqrt N) 1.066 * * [simplify]: iters left: 1 (2 enodes) 1.066 * * [simplify]: Extracting #0: cost 1 inf + 0 1.066 * * [simplify]: Extracting #1: cost 3 inf + 0 1.067 * * [simplify]: Extracting #2: cost 2 inf + 1 1.067 * * [simplify]: Extracting #3: cost 0 inf + 83 1.067 * [simplify]: Simplified to (sqrt N) 1.067 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N))))) 1.067 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 1.067 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 1.067 * [simplify]: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1.067 * * [simplify]: iters left: 5 (5 enodes) 1.068 * * [simplify]: iters left: 4 (18 enodes) 1.071 * * [simplify]: iters left: 3 (20 enodes) 1.074 * * [simplify]: Extracting #0: cost 1 inf + 0 1.074 * * [simplify]: Extracting #1: cost 3 inf + 0 1.074 * * [simplify]: Extracting #2: cost 5 inf + 0 1.074 * * [simplify]: Extracting #3: cost 8 inf + 0 1.074 * * [simplify]: Extracting #4: cost 6 inf + 2 1.074 * * [simplify]: Extracting #5: cost 0 inf + 654 1.075 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1.075 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1.075 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 1.075 * [simplify]: Simplifying (sqrt (+ N 1)) 1.075 * * [simplify]: iters left: 3 (4 enodes) 1.076 * * [simplify]: iters left: 2 (15 enodes) 1.078 * * [simplify]: iters left: 1 (17 enodes) 1.081 * * [simplify]: Extracting #0: cost 1 inf + 0 1.081 * * [simplify]: Extracting #1: cost 3 inf + 0 1.081 * * [simplify]: Extracting #2: cost 6 inf + 0 1.081 * * [simplify]: Extracting #3: cost 2 inf + 86 1.081 * * [simplify]: Extracting #4: cost 1 inf + 168 1.081 * * [simplify]: Extracting #5: cost 0 inf + 250 1.081 * [simplify]: Simplified to (sqrt (+ 1 N)) 1.081 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1.081 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 1.082 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 1.082 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 1.082 * [simplify]: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1.082 * * [simplify]: iters left: 5 (7 enodes) 1.085 * * [simplify]: iters left: 4 (33 enodes) 1.091 * * [simplify]: iters left: 3 (61 enodes) 1.104 * * [simplify]: iters left: 2 (97 enodes) 1.122 * * [simplify]: iters left: 1 (165 enodes) 1.155 * * [simplify]: Extracting #0: cost 1 inf + 0 1.155 * * [simplify]: Extracting #1: cost 5 inf + 0 1.155 * * [simplify]: Extracting #2: cost 19 inf + 1 1.155 * * [simplify]: Extracting #3: cost 47 inf + 256 1.155 * * [simplify]: Extracting #4: cost 32 inf + 2796 1.157 * * [simplify]: Extracting #5: cost 4 inf + 11668 1.158 * * [simplify]: Extracting #6: cost 1 inf + 12515 1.160 * * [simplify]: Extracting #7: cost 0 inf + 12727 1.161 * [simplify]: Simplified to (+ (* (* N N) (* N N)) N) 1.161 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* N N) (- (* 1 1) (* N 1))))))) 1.161 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 1.162 * [simplify]: Simplifying (* (- (* N N) (* 1 1)) N) 1.162 * * [simplify]: iters left: 6 (6 enodes) 1.164 * * [simplify]: iters left: 5 (22 enodes) 1.167 * * [simplify]: iters left: 4 (29 enodes) 1.171 * * [simplify]: iters left: 3 (40 enodes) 1.178 * * [simplify]: iters left: 2 (78 enodes) 1.196 * * [simplify]: iters left: 1 (136 enodes) 1.219 * * [simplify]: Extracting #0: cost 1 inf + 0 1.219 * * [simplify]: Extracting #1: cost 13 inf + 0 1.219 * * [simplify]: Extracting #2: cost 48 inf + 1 1.220 * * [simplify]: Extracting #3: cost 36 inf + 864 1.221 * * [simplify]: Extracting #4: cost 0 inf + 4172 1.222 * * [simplify]: Extracting #5: cost 0 inf + 4168 1.223 * [simplify]: Simplified to (- (* N (* N N)) N) 1.223 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (* N (* N N)) N) (- N 1))))) 1.224 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.224 * * * * [progress]: [ 30 / 36 ] simplifiying candidate # 1.224 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 1.224 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.224 * * [simplify]: iters left: 6 (7 enodes) 1.228 * * [simplify]: iters left: 5 (31 enodes) 1.238 * * [simplify]: iters left: 4 (42 enodes) 1.250 * * [simplify]: iters left: 3 (48 enodes) 1.262 * * [simplify]: iters left: 2 (54 enodes) 1.276 * * [simplify]: Extracting #0: cost 1 inf + 0 1.276 * * [simplify]: Extracting #1: cost 4 inf + 0 1.276 * * [simplify]: Extracting #2: cost 9 inf + 1 1.276 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.277 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.278 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.278 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.278 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 1.278 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.278 * * [simplify]: iters left: 6 (7 enodes) 1.283 * * [simplify]: iters left: 5 (31 enodes) 1.293 * * [simplify]: iters left: 4 (42 enodes) 1.305 * * [simplify]: iters left: 3 (48 enodes) 1.318 * * [simplify]: iters left: 2 (54 enodes) 1.331 * * [simplify]: Extracting #0: cost 1 inf + 0 1.331 * * [simplify]: Extracting #1: cost 4 inf + 0 1.331 * * [simplify]: Extracting #2: cost 9 inf + 1 1.332 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.332 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.333 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.333 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.333 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 1.333 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.333 * * [simplify]: iters left: 6 (7 enodes) 1.338 * * [simplify]: iters left: 5 (31 enodes) 1.348 * * [simplify]: iters left: 4 (42 enodes) 1.362 * * [simplify]: iters left: 3 (48 enodes) 1.373 * * [simplify]: iters left: 2 (54 enodes) 1.380 * * [simplify]: Extracting #0: cost 1 inf + 0 1.380 * * [simplify]: Extracting #1: cost 4 inf + 0 1.380 * * [simplify]: Extracting #2: cost 9 inf + 1 1.381 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.381 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.381 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.381 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.381 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 1.381 * [simplify]: Simplifying (+ N (pow N 2)) 1.381 * * [simplify]: iters left: 3 (4 enodes) 1.383 * * [simplify]: iters left: 2 (18 enodes) 1.386 * * [simplify]: iters left: 1 (24 enodes) 1.390 * * [simplify]: Extracting #0: cost 1 inf + 0 1.390 * * [simplify]: Extracting #1: cost 5 inf + 0 1.390 * * [simplify]: Extracting #2: cost 8 inf + 1 1.390 * * [simplify]: Extracting #3: cost 2 inf + 247 1.390 * * [simplify]: Extracting #4: cost 0 inf + 331 1.390 * [simplify]: Simplified to (+ N (* N N)) 1.390 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.390 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 1.390 * [simplify]: Simplifying (+ N (pow N 2)) 1.390 * * [simplify]: iters left: 3 (4 enodes) 1.392 * * [simplify]: iters left: 2 (18 enodes) 1.395 * * [simplify]: iters left: 1 (24 enodes) 1.399 * * [simplify]: Extracting #0: cost 1 inf + 0 1.399 * * [simplify]: Extracting #1: cost 5 inf + 0 1.399 * * [simplify]: Extracting #2: cost 8 inf + 1 1.399 * * [simplify]: Extracting #3: cost 2 inf + 247 1.400 * * [simplify]: Extracting #4: cost 0 inf + 331 1.400 * [simplify]: Simplified to (+ N (* N N)) 1.400 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.400 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 1.400 * [simplify]: Simplifying (+ N (pow N 2)) 1.400 * * [simplify]: iters left: 3 (4 enodes) 1.403 * * [simplify]: iters left: 2 (18 enodes) 1.409 * * [simplify]: iters left: 1 (24 enodes) 1.416 * * [simplify]: Extracting #0: cost 1 inf + 0 1.416 * * [simplify]: Extracting #1: cost 5 inf + 0 1.417 * * [simplify]: Extracting #2: cost 8 inf + 1 1.417 * * [simplify]: Extracting #3: cost 2 inf + 247 1.417 * * [simplify]: Extracting #4: cost 0 inf + 331 1.417 * [simplify]: Simplified to (+ N (* N N)) 1.417 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.417 * * * [progress]: adding candidates to table 1.696 * * [progress]: iteration 3 / 4 1.696 * * * [progress]: picking best candidate 1.706 * * * * [pick]: Picked # 1.706 * * * [progress]: localizing error 1.732 * * * [progress]: generating rewritten candidates 1.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.734 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.735 * * * [progress]: generating series expansions 1.735 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.735 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.735 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1.735 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1.735 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.735 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.735 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.736 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1.736 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.736 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.736 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.740 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.740 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1.740 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1.740 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.740 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.740 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.740 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1.740 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.740 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.740 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.741 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.745 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1.745 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.745 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1.745 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.745 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.746 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.746 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.751 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.751 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.751 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1.751 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1.751 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.751 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.752 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.752 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1.752 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.752 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.752 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.753 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.758 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.758 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1.758 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1.758 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.759 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.759 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.759 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1.759 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.759 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.760 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.760 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.766 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.766 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1.766 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1.766 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.767 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.767 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.767 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1.767 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.767 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.768 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.768 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.774 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.774 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.774 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.774 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.774 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.774 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.775 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.775 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.775 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.775 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.776 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.776 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.776 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.776 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.776 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.777 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.777 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.777 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.777 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.777 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.777 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.778 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.778 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.778 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1.778 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.778 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.778 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1.779 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.779 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.779 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.779 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1.779 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.779 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.779 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1.779 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.779 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.780 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.780 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1.780 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.780 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.780 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1.780 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.780 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1.781 * * * [progress]: simplifying candidates 1.781 * * * * [progress]: [ 1 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 2 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 3 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 4 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 5 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 6 / 56 ] simplifiying candidate # 1.781 * * * * [progress]: [ 7 / 56 ] simplifiying candidate # 1.781 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.781 * * [simplify]: iters left: 6 (9 enodes) 1.783 * * [simplify]: iters left: 5 (33 enodes) 1.789 * * [simplify]: iters left: 4 (42 enodes) 1.795 * * [simplify]: iters left: 3 (44 enodes) 1.801 * * [simplify]: Extracting #0: cost 1 inf + 0 1.801 * * [simplify]: Extracting #1: cost 4 inf + 0 1.801 * * [simplify]: Extracting #2: cost 7 inf + 0 1.801 * * [simplify]: Extracting #3: cost 10 inf + 0 1.801 * * [simplify]: Extracting #4: cost 11 inf + 1 1.801 * * [simplify]: Extracting #5: cost 15 inf + 1 1.801 * * [simplify]: Extracting #6: cost 15 inf + 43 1.801 * * [simplify]: Extracting #7: cost 11 inf + 249 1.801 * * [simplify]: Extracting #8: cost 7 inf + 836 1.802 * * [simplify]: Extracting #9: cost 0 inf + 3310 1.802 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) 1.802 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1.802 * * * * [progress]: [ 8 / 56 ] simplifiying candidate # 1.802 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1.802 * * [simplify]: iters left: 6 (8 enodes) 1.804 * * [simplify]: iters left: 5 (29 enodes) 1.809 * * [simplify]: iters left: 4 (38 enodes) 1.817 * * [simplify]: iters left: 3 (40 enodes) 1.823 * * [simplify]: Extracting #0: cost 1 inf + 0 1.823 * * [simplify]: Extracting #1: cost 3 inf + 0 1.823 * * [simplify]: Extracting #2: cost 5 inf + 0 1.823 * * [simplify]: Extracting #3: cost 8 inf + 0 1.823 * * [simplify]: Extracting #4: cost 9 inf + 1 1.823 * * [simplify]: Extracting #5: cost 13 inf + 1 1.823 * * [simplify]: Extracting #6: cost 14 inf + 2 1.823 * * [simplify]: Extracting #7: cost 9 inf + 249 1.823 * * [simplify]: Extracting #8: cost 5 inf + 836 1.823 * * [simplify]: Extracting #9: cost 1 inf + 2044 1.824 * * [simplify]: Extracting #10: cost 0 inf + 2386 1.824 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 1.824 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1.824 * * * * [progress]: [ 9 / 56 ] simplifiying candidate # 1.825 * [simplify]: Simplifying (sqrt 1) 1.825 * * [simplify]: iters left: 1 (2 enodes) 1.826 * * [simplify]: Extracting #0: cost 1 inf + 0 1.827 * * [simplify]: Extracting #1: cost 0 inf + 1 1.827 * [simplify]: Simplified to 1 1.827 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1.827 * * * * [progress]: [ 10 / 56 ] simplifiying candidate # 1.827 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1.827 * * [simplify]: iters left: 6 (6 enodes) 1.830 * * [simplify]: iters left: 5 (23 enodes) 1.837 * * [simplify]: iters left: 4 (32 enodes) 1.847 * * [simplify]: iters left: 3 (34 enodes) 1.855 * * [simplify]: Extracting #0: cost 1 inf + 0 1.855 * * [simplify]: Extracting #1: cost 4 inf + 0 1.855 * * [simplify]: Extracting #2: cost 5 inf + 1 1.855 * * [simplify]: Extracting #3: cost 9 inf + 1 1.855 * * [simplify]: Extracting #4: cost 9 inf + 43 1.856 * * [simplify]: Extracting #5: cost 0 inf + 1098 1.856 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1)) 1.856 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)))) 1.856 * * * * [progress]: [ 11 / 56 ] simplifiying candidate # 1.856 * * * * [progress]: [ 12 / 56 ] simplifiying candidate # 1.857 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1.857 * * [simplify]: iters left: 6 (7 enodes) 1.860 * * [simplify]: iters left: 5 (26 enodes) 1.868 * * [simplify]: iters left: 4 (35 enodes) 1.879 * * [simplify]: iters left: 3 (37 enodes) 1.888 * * [simplify]: Extracting #0: cost 1 inf + 0 1.888 * * [simplify]: Extracting #1: cost 3 inf + 0 1.888 * * [simplify]: Extracting #2: cost 6 inf + 0 1.889 * * [simplify]: Extracting #3: cost 7 inf + 1 1.889 * * [simplify]: Extracting #4: cost 11 inf + 1 1.889 * * [simplify]: Extracting #5: cost 8 inf + 249 1.889 * * [simplify]: Extracting #6: cost 3 inf + 836 1.889 * * [simplify]: Extracting #7: cost 1 inf + 1400 1.890 * * [simplify]: Extracting #8: cost 0 inf + 1702 1.891 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1.891 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))) 1.891 * * * * [progress]: [ 13 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 14 / 56 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 1.891 * * * * [progress]: [ 15 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 16 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 17 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 18 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 19 / 56 ] simplifiying candidate # 1.891 * * * * [progress]: [ 20 / 56 ] simplifiying candidate # 1.892 * * * * [progress]: [ 21 / 56 ] simplifiying candidate # 1.892 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.892 * * [simplify]: iters left: 6 (9 enodes) 1.896 * * [simplify]: iters left: 5 (33 enodes) 1.906 * * [simplify]: iters left: 4 (42 enodes) 1.912 * * [simplify]: iters left: 3 (44 enodes) 1.918 * * [simplify]: Extracting #0: cost 1 inf + 0 1.918 * * [simplify]: Extracting #1: cost 4 inf + 0 1.918 * * [simplify]: Extracting #2: cost 7 inf + 0 1.918 * * [simplify]: Extracting #3: cost 10 inf + 0 1.918 * * [simplify]: Extracting #4: cost 11 inf + 1 1.918 * * [simplify]: Extracting #5: cost 15 inf + 1 1.918 * * [simplify]: Extracting #6: cost 15 inf + 43 1.918 * * [simplify]: Extracting #7: cost 11 inf + 249 1.919 * * [simplify]: Extracting #8: cost 7 inf + 836 1.919 * * [simplify]: Extracting #9: cost 0 inf + 3310 1.919 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) 1.919 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.919 * * * * [progress]: [ 22 / 56 ] simplifiying candidate # 1.920 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1.920 * * [simplify]: iters left: 6 (8 enodes) 1.922 * * [simplify]: iters left: 5 (29 enodes) 1.926 * * [simplify]: iters left: 4 (38 enodes) 1.932 * * [simplify]: iters left: 3 (40 enodes) 1.939 * * [simplify]: Extracting #0: cost 1 inf + 0 1.939 * * [simplify]: Extracting #1: cost 3 inf + 0 1.939 * * [simplify]: Extracting #2: cost 5 inf + 0 1.939 * * [simplify]: Extracting #3: cost 8 inf + 0 1.939 * * [simplify]: Extracting #4: cost 9 inf + 1 1.939 * * [simplify]: Extracting #5: cost 13 inf + 1 1.939 * * [simplify]: Extracting #6: cost 14 inf + 2 1.939 * * [simplify]: Extracting #7: cost 9 inf + 249 1.939 * * [simplify]: Extracting #8: cost 5 inf + 836 1.940 * * [simplify]: Extracting #9: cost 1 inf + 2044 1.940 * * [simplify]: Extracting #10: cost 0 inf + 2386 1.940 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 1.940 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.941 * * * * [progress]: [ 23 / 56 ] simplifiying candidate # 1.941 * [simplify]: Simplifying (sqrt 1) 1.941 * * [simplify]: iters left: 1 (2 enodes) 1.943 * * [simplify]: Extracting #0: cost 1 inf + 0 1.943 * * [simplify]: Extracting #1: cost 0 inf + 1 1.943 * [simplify]: Simplified to 1 1.943 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.943 * * * * [progress]: [ 24 / 56 ] simplifiying candidate # 1.943 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1.943 * * [simplify]: iters left: 6 (6 enodes) 1.945 * * [simplify]: iters left: 5 (23 enodes) 1.948 * * [simplify]: iters left: 4 (32 enodes) 1.953 * * [simplify]: iters left: 3 (34 enodes) 1.957 * * [simplify]: Extracting #0: cost 1 inf + 0 1.958 * * [simplify]: Extracting #1: cost 4 inf + 0 1.958 * * [simplify]: Extracting #2: cost 5 inf + 1 1.958 * * [simplify]: Extracting #3: cost 9 inf + 1 1.958 * * [simplify]: Extracting #4: cost 9 inf + 43 1.958 * * [simplify]: Extracting #5: cost 0 inf + 1098 1.958 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1)) 1.958 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.958 * * * * [progress]: [ 25 / 56 ] simplifiying candidate # 1.958 * * * * [progress]: [ 26 / 56 ] simplifiying candidate # 1.958 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1.958 * * [simplify]: iters left: 6 (7 enodes) 1.960 * * [simplify]: iters left: 5 (26 enodes) 1.965 * * [simplify]: iters left: 4 (35 enodes) 1.976 * * [simplify]: iters left: 3 (37 enodes) 1.984 * * [simplify]: Extracting #0: cost 1 inf + 0 1.984 * * [simplify]: Extracting #1: cost 3 inf + 0 1.985 * * [simplify]: Extracting #2: cost 6 inf + 0 1.985 * * [simplify]: Extracting #3: cost 7 inf + 1 1.985 * * [simplify]: Extracting #4: cost 11 inf + 1 1.985 * * [simplify]: Extracting #5: cost 8 inf + 249 1.985 * * [simplify]: Extracting #6: cost 3 inf + 836 1.986 * * [simplify]: Extracting #7: cost 1 inf + 1400 1.986 * * [simplify]: Extracting #8: cost 0 inf + 1702 1.987 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 1.987 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1.987 * * * * [progress]: [ 27 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 28 / 56 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.987 * * * * [progress]: [ 29 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 30 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 31 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 32 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 33 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 34 / 56 ] simplifiying candidate # 1.987 * * * * [progress]: [ 35 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 36 / 56 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))> 1.988 * * * * [progress]: [ 37 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 38 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 39 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 40 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 41 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 42 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 43 / 56 ] simplifiying candidate # 1.988 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> 1.988 * * * * [progress]: [ 45 / 56 ] simplifiying candidate # 1.988 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1.988 * * [simplify]: iters left: 6 (8 enodes) 1.993 * * [simplify]: iters left: 5 (34 enodes) 2.004 * * [simplify]: iters left: 4 (45 enodes) 2.016 * * [simplify]: iters left: 3 (51 enodes) 2.029 * * [simplify]: iters left: 2 (57 enodes) 2.043 * * [simplify]: Extracting #0: cost 1 inf + 0 2.044 * * [simplify]: Extracting #1: cost 3 inf + 0 2.044 * * [simplify]: Extracting #2: cost 6 inf + 0 2.044 * * [simplify]: Extracting #3: cost 11 inf + 1 2.044 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.045 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.045 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.045 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.046 * * * * [progress]: [ 46 / 56 ] simplifiying candidate # 2.046 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.046 * * [simplify]: iters left: 6 (8 enodes) 2.051 * * [simplify]: iters left: 5 (34 enodes) 2.058 * * [simplify]: iters left: 4 (45 enodes) 2.066 * * [simplify]: iters left: 3 (51 enodes) 2.073 * * [simplify]: iters left: 2 (57 enodes) 2.080 * * [simplify]: Extracting #0: cost 1 inf + 0 2.080 * * [simplify]: Extracting #1: cost 3 inf + 0 2.080 * * [simplify]: Extracting #2: cost 6 inf + 0 2.080 * * [simplify]: Extracting #3: cost 11 inf + 1 2.080 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.080 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.081 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.081 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.081 * * * * [progress]: [ 47 / 56 ] simplifiying candidate # 2.081 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.081 * * [simplify]: iters left: 6 (8 enodes) 2.083 * * [simplify]: iters left: 5 (34 enodes) 2.090 * * [simplify]: iters left: 4 (45 enodes) 2.102 * * [simplify]: iters left: 3 (51 enodes) 2.115 * * [simplify]: iters left: 2 (57 enodes) 2.129 * * [simplify]: Extracting #0: cost 1 inf + 0 2.129 * * [simplify]: Extracting #1: cost 3 inf + 0 2.129 * * [simplify]: Extracting #2: cost 6 inf + 0 2.129 * * [simplify]: Extracting #3: cost 11 inf + 1 2.130 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.130 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.131 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.131 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.131 * * * * [progress]: [ 48 / 56 ] simplifiying candidate # 2.131 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.131 * * [simplify]: iters left: 6 (8 enodes) 2.136 * * [simplify]: iters left: 5 (34 enodes) 2.147 * * [simplify]: iters left: 4 (45 enodes) 2.159 * * [simplify]: iters left: 3 (51 enodes) 2.172 * * [simplify]: iters left: 2 (57 enodes) 2.186 * * [simplify]: Extracting #0: cost 1 inf + 0 2.186 * * [simplify]: Extracting #1: cost 3 inf + 0 2.187 * * [simplify]: Extracting #2: cost 6 inf + 0 2.187 * * [simplify]: Extracting #3: cost 11 inf + 1 2.189 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.190 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.190 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.190 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.190 * * * * [progress]: [ 49 / 56 ] simplifiying candidate # 2.191 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.191 * * [simplify]: iters left: 6 (8 enodes) 2.194 * * [simplify]: iters left: 5 (34 enodes) 2.200 * * [simplify]: iters left: 4 (45 enodes) 2.206 * * [simplify]: iters left: 3 (51 enodes) 2.213 * * [simplify]: iters left: 2 (57 enodes) 2.221 * * [simplify]: Extracting #0: cost 1 inf + 0 2.221 * * [simplify]: Extracting #1: cost 3 inf + 0 2.221 * * [simplify]: Extracting #2: cost 6 inf + 0 2.221 * * [simplify]: Extracting #3: cost 11 inf + 1 2.222 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.222 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.223 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.223 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.223 * * * * [progress]: [ 50 / 56 ] simplifiying candidate # 2.224 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2.224 * * [simplify]: iters left: 6 (8 enodes) 2.229 * * [simplify]: iters left: 5 (34 enodes) 2.240 * * [simplify]: iters left: 4 (45 enodes) 2.252 * * [simplify]: iters left: 3 (51 enodes) 2.264 * * [simplify]: iters left: 2 (57 enodes) 2.278 * * [simplify]: Extracting #0: cost 1 inf + 0 2.278 * * [simplify]: Extracting #1: cost 3 inf + 0 2.278 * * [simplify]: Extracting #2: cost 6 inf + 0 2.278 * * [simplify]: Extracting #3: cost 11 inf + 1 2.279 * * [simplify]: Extracting #4: cost 5 inf + 1620 2.279 * * [simplify]: Extracting #5: cost 0 inf + 1867 2.280 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 2.280 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.280 * * * * [progress]: [ 51 / 56 ] simplifiying candidate # 2.280 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.281 * * [simplify]: iters left: 6 (7 enodes) 2.285 * * [simplify]: iters left: 5 (31 enodes) 2.294 * * [simplify]: iters left: 4 (42 enodes) 2.306 * * [simplify]: iters left: 3 (48 enodes) 2.320 * * [simplify]: iters left: 2 (54 enodes) 2.333 * * [simplify]: Extracting #0: cost 1 inf + 0 2.333 * * [simplify]: Extracting #1: cost 4 inf + 0 2.333 * * [simplify]: Extracting #2: cost 9 inf + 1 2.333 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.334 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.334 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.334 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.335 * * * * [progress]: [ 52 / 56 ] simplifiying candidate # 2.335 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.335 * * [simplify]: iters left: 6 (7 enodes) 2.339 * * [simplify]: iters left: 5 (31 enodes) 2.349 * * [simplify]: iters left: 4 (42 enodes) 2.361 * * [simplify]: iters left: 3 (48 enodes) 2.368 * * [simplify]: iters left: 2 (54 enodes) 2.375 * * [simplify]: Extracting #0: cost 1 inf + 0 2.375 * * [simplify]: Extracting #1: cost 4 inf + 0 2.375 * * [simplify]: Extracting #2: cost 9 inf + 1 2.375 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.375 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.375 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.375 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.375 * * * * [progress]: [ 53 / 56 ] simplifiying candidate # 2.376 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.376 * * [simplify]: iters left: 6 (7 enodes) 2.378 * * [simplify]: iters left: 5 (31 enodes) 2.383 * * [simplify]: iters left: 4 (42 enodes) 2.388 * * [simplify]: iters left: 3 (48 enodes) 2.395 * * [simplify]: iters left: 2 (54 enodes) 2.401 * * [simplify]: Extracting #0: cost 1 inf + 0 2.401 * * [simplify]: Extracting #1: cost 4 inf + 0 2.401 * * [simplify]: Extracting #2: cost 9 inf + 1 2.401 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.402 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.402 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.402 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) 2.402 * * * * [progress]: [ 54 / 56 ] simplifiying candidate # 2.402 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.402 * * [simplify]: iters left: 6 (7 enodes) 2.405 * * [simplify]: iters left: 5 (31 enodes) 2.410 * * [simplify]: iters left: 4 (42 enodes) 2.416 * * [simplify]: iters left: 3 (48 enodes) 2.431 * * [simplify]: iters left: 2 (54 enodes) 2.444 * * [simplify]: Extracting #0: cost 1 inf + 0 2.445 * * [simplify]: Extracting #1: cost 4 inf + 0 2.445 * * [simplify]: Extracting #2: cost 9 inf + 1 2.445 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.445 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.446 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.446 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.446 * * * * [progress]: [ 55 / 56 ] simplifiying candidate # 2.446 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.447 * * [simplify]: iters left: 6 (7 enodes) 2.451 * * [simplify]: iters left: 5 (31 enodes) 2.461 * * [simplify]: iters left: 4 (42 enodes) 2.472 * * [simplify]: iters left: 3 (48 enodes) 2.484 * * [simplify]: iters left: 2 (54 enodes) 2.494 * * [simplify]: Extracting #0: cost 1 inf + 0 2.494 * * [simplify]: Extracting #1: cost 4 inf + 0 2.494 * * [simplify]: Extracting #2: cost 9 inf + 1 2.494 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.494 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.495 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.495 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.495 * * * * [progress]: [ 56 / 56 ] simplifiying candidate # 2.495 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.495 * * [simplify]: iters left: 6 (7 enodes) 2.497 * * [simplify]: iters left: 5 (31 enodes) 2.502 * * [simplify]: iters left: 4 (42 enodes) 2.508 * * [simplify]: iters left: 3 (48 enodes) 2.514 * * [simplify]: iters left: 2 (54 enodes) 2.521 * * [simplify]: Extracting #0: cost 1 inf + 0 2.521 * * [simplify]: Extracting #1: cost 4 inf + 0 2.521 * * [simplify]: Extracting #2: cost 9 inf + 1 2.521 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.522 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.522 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.522 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 2.522 * * * [progress]: adding candidates to table 3.033 * * [progress]: iteration 4 / 4 3.033 * * * [progress]: picking best candidate 3.041 * * * * [pick]: Picked # 3.041 * * * [progress]: localizing error 3.085 * * * [progress]: generating rewritten candidates 3.086 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.091 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 3.092 * * * [progress]: generating series expansions 3.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.092 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.092 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 3.092 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.092 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.092 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.092 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.092 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.092 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.092 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.092 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.093 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.093 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.097 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.097 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 3.097 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.097 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.097 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.097 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.097 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.097 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.097 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.097 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.098 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.101 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.101 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 3.101 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.101 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.101 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.102 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.102 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.102 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.102 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.102 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.102 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.106 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.106 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 3.106 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.106 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.106 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.107 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.107 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.107 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.107 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.107 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.107 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.107 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.111 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.111 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 3.111 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.111 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.111 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.111 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.111 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.111 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.111 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.111 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.112 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.116 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.116 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 3.116 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.116 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.116 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.116 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.116 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.116 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.116 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.116 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.117 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.120 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.120 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.120 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 3.120 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.120 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.120 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.121 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.121 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 3.121 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.121 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.121 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.121 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.123 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.125 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.125 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.125 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.125 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.125 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.125 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.125 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.125 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.126 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.131 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.131 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 3.131 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.131 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.132 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.132 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.132 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.132 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.132 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.132 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.133 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.139 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 3.139 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.139 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 3.139 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.140 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.140 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 3.140 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.140 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.141 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.141 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 3.141 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.141 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.141 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.141 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.141 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.142 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.142 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 3.142 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.142 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.142 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.142 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.143 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 3.143 * * * [progress]: simplifying candidates 3.143 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 3.143 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 3.144 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 3.144 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 3.144 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 3.144 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 3.144 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 3.144 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 3.144 * * [simplify]: iters left: 6 (9 enodes) 3.149 * * [simplify]: iters left: 5 (33 enodes) 3.157 * * [simplify]: iters left: 4 (42 enodes) 3.163 * * [simplify]: iters left: 3 (44 enodes) 3.169 * * [simplify]: Extracting #0: cost 1 inf + 0 3.169 * * [simplify]: Extracting #1: cost 4 inf + 0 3.170 * * [simplify]: Extracting #2: cost 7 inf + 0 3.170 * * [simplify]: Extracting #3: cost 10 inf + 0 3.170 * * [simplify]: Extracting #4: cost 11 inf + 1 3.170 * * [simplify]: Extracting #5: cost 15 inf + 1 3.170 * * [simplify]: Extracting #6: cost 15 inf + 43 3.170 * * [simplify]: Extracting #7: cost 11 inf + 249 3.170 * * [simplify]: Extracting #8: cost 7 inf + 836 3.173 * * [simplify]: Extracting #9: cost 0 inf + 3310 3.173 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) 3.173 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))) 3.174 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 3.174 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 3.174 * * [simplify]: iters left: 6 (8 enodes) 3.176 * * [simplify]: iters left: 5 (29 enodes) 3.181 * * [simplify]: iters left: 4 (38 enodes) 3.187 * * [simplify]: iters left: 3 (40 enodes) 3.198 * * [simplify]: Extracting #0: cost 1 inf + 0 3.198 * * [simplify]: Extracting #1: cost 3 inf + 0 3.198 * * [simplify]: Extracting #2: cost 5 inf + 0 3.198 * * [simplify]: Extracting #3: cost 8 inf + 0 3.198 * * [simplify]: Extracting #4: cost 9 inf + 1 3.198 * * [simplify]: Extracting #5: cost 13 inf + 1 3.198 * * [simplify]: Extracting #6: cost 14 inf + 2 3.199 * * [simplify]: Extracting #7: cost 9 inf + 249 3.199 * * [simplify]: Extracting #8: cost 5 inf + 836 3.199 * * [simplify]: Extracting #9: cost 1 inf + 2044 3.200 * * [simplify]: Extracting #10: cost 0 inf + 2386 3.201 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 3.201 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))) 3.201 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 3.201 * [simplify]: Simplifying (sqrt 1) 3.201 * * [simplify]: iters left: 1 (2 enodes) 3.205 * * [simplify]: Extracting #0: cost 1 inf + 0 3.205 * * [simplify]: Extracting #1: cost 0 inf + 1 3.205 * [simplify]: Simplified to 1 3.205 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 3.205 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 3.206 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 3.206 * * [simplify]: iters left: 6 (6 enodes) 3.209 * * [simplify]: iters left: 5 (23 enodes) 3.216 * * [simplify]: iters left: 4 (32 enodes) 3.225 * * [simplify]: iters left: 3 (34 enodes) 3.234 * * [simplify]: Extracting #0: cost 1 inf + 0 3.234 * * [simplify]: Extracting #1: cost 4 inf + 0 3.234 * * [simplify]: Extracting #2: cost 5 inf + 1 3.234 * * [simplify]: Extracting #3: cost 9 inf + 1 3.234 * * [simplify]: Extracting #4: cost 9 inf + 43 3.234 * * [simplify]: Extracting #5: cost 0 inf + 1098 3.235 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1)) 3.235 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)))))) 3.235 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 3.235 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 3.235 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 3.235 * * [simplify]: iters left: 6 (7 enodes) 3.239 * * [simplify]: iters left: 5 (26 enodes) 3.247 * * [simplify]: iters left: 4 (35 enodes) 3.257 * * [simplify]: iters left: 3 (37 enodes) 3.267 * * [simplify]: Extracting #0: cost 1 inf + 0 3.267 * * [simplify]: Extracting #1: cost 3 inf + 0 3.267 * * [simplify]: Extracting #2: cost 6 inf + 0 3.267 * * [simplify]: Extracting #3: cost 7 inf + 1 3.267 * * [simplify]: Extracting #4: cost 11 inf + 1 3.267 * * [simplify]: Extracting #5: cost 8 inf + 249 3.267 * * [simplify]: Extracting #6: cost 3 inf + 836 3.268 * * [simplify]: Extracting #7: cost 1 inf + 1400 3.268 * * [simplify]: Extracting #8: cost 0 inf + 1702 3.269 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 3.269 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))))) 3.269 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 3.269 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))> 3.269 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 3.269 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 3.269 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 3.269 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 3.270 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 3.270 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 3.270 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 3.270 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 3.270 * * [simplify]: iters left: 6 (9 enodes) 3.275 * * [simplify]: iters left: 5 (33 enodes) 3.285 * * [simplify]: iters left: 4 (42 enodes) 3.297 * * [simplify]: iters left: 3 (44 enodes) 3.309 * * [simplify]: Extracting #0: cost 1 inf + 0 3.309 * * [simplify]: Extracting #1: cost 4 inf + 0 3.309 * * [simplify]: Extracting #2: cost 7 inf + 0 3.309 * * [simplify]: Extracting #3: cost 10 inf + 0 3.309 * * [simplify]: Extracting #4: cost 11 inf + 1 3.309 * * [simplify]: Extracting #5: cost 15 inf + 1 3.309 * * [simplify]: Extracting #6: cost 15 inf + 43 3.309 * * [simplify]: Extracting #7: cost 11 inf + 249 3.310 * * [simplify]: Extracting #8: cost 7 inf + 836 3.310 * * [simplify]: Extracting #9: cost 0 inf + 3310 3.311 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) 3.311 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.311 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 3.312 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 3.312 * * [simplify]: iters left: 6 (8 enodes) 3.316 * * [simplify]: iters left: 5 (29 enodes) 3.327 * * [simplify]: iters left: 4 (38 enodes) 3.335 * * [simplify]: iters left: 3 (40 enodes) 3.340 * * [simplify]: Extracting #0: cost 1 inf + 0 3.340 * * [simplify]: Extracting #1: cost 3 inf + 0 3.340 * * [simplify]: Extracting #2: cost 5 inf + 0 3.340 * * [simplify]: Extracting #3: cost 8 inf + 0 3.340 * * [simplify]: Extracting #4: cost 9 inf + 1 3.340 * * [simplify]: Extracting #5: cost 13 inf + 1 3.340 * * [simplify]: Extracting #6: cost 14 inf + 2 3.340 * * [simplify]: Extracting #7: cost 9 inf + 249 3.340 * * [simplify]: Extracting #8: cost 5 inf + 836 3.341 * * [simplify]: Extracting #9: cost 1 inf + 2044 3.341 * * [simplify]: Extracting #10: cost 0 inf + 2386 3.341 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 3.341 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.341 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 3.342 * [simplify]: Simplifying (sqrt 1) 3.342 * * [simplify]: iters left: 1 (2 enodes) 3.344 * * [simplify]: Extracting #0: cost 1 inf + 0 3.344 * * [simplify]: Extracting #1: cost 0 inf + 1 3.344 * [simplify]: Simplified to 1 3.344 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.344 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 3.344 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 3.344 * * [simplify]: iters left: 6 (6 enodes) 3.346 * * [simplify]: iters left: 5 (23 enodes) 3.350 * * [simplify]: iters left: 4 (32 enodes) 3.355 * * [simplify]: iters left: 3 (34 enodes) 3.360 * * [simplify]: Extracting #0: cost 1 inf + 0 3.360 * * [simplify]: Extracting #1: cost 4 inf + 0 3.360 * * [simplify]: Extracting #2: cost 5 inf + 1 3.360 * * [simplify]: Extracting #3: cost 9 inf + 1 3.360 * * [simplify]: Extracting #4: cost 9 inf + 43 3.361 * * [simplify]: Extracting #5: cost 0 inf + 1098 3.361 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1)) 3.361 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.361 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 3.361 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 3.361 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 3.361 * * [simplify]: iters left: 6 (7 enodes) 3.364 * * [simplify]: iters left: 5 (26 enodes) 3.372 * * [simplify]: iters left: 4 (35 enodes) 3.382 * * [simplify]: iters left: 3 (37 enodes) 3.392 * * [simplify]: Extracting #0: cost 1 inf + 0 3.392 * * [simplify]: Extracting #1: cost 3 inf + 0 3.392 * * [simplify]: Extracting #2: cost 6 inf + 0 3.392 * * [simplify]: Extracting #3: cost 7 inf + 1 3.392 * * [simplify]: Extracting #4: cost 11 inf + 1 3.392 * * [simplify]: Extracting #5: cost 8 inf + 249 3.393 * * [simplify]: Extracting #6: cost 3 inf + 836 3.393 * * [simplify]: Extracting #7: cost 1 inf + 1400 3.394 * * [simplify]: Extracting #8: cost 0 inf + 1702 3.394 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 3.394 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.394 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 3.395 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 3.395 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 3.395 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 3.395 * * [simplify]: iters left: 6 (9 enodes) 3.400 * * [simplify]: iters left: 5 (33 enodes) 3.410 * * [simplify]: iters left: 4 (42 enodes) 3.422 * * [simplify]: iters left: 3 (44 enodes) 3.433 * * [simplify]: Extracting #0: cost 1 inf + 0 3.433 * * [simplify]: Extracting #1: cost 4 inf + 0 3.433 * * [simplify]: Extracting #2: cost 7 inf + 0 3.433 * * [simplify]: Extracting #3: cost 10 inf + 0 3.433 * * [simplify]: Extracting #4: cost 11 inf + 1 3.433 * * [simplify]: Extracting #5: cost 15 inf + 1 3.433 * * [simplify]: Extracting #6: cost 15 inf + 43 3.433 * * [simplify]: Extracting #7: cost 11 inf + 249 3.434 * * [simplify]: Extracting #8: cost 7 inf + 836 3.434 * * [simplify]: Extracting #9: cost 0 inf + 3310 3.435 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) 3.435 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.435 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 3.436 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 3.436 * * [simplify]: iters left: 6 (8 enodes) 3.440 * * [simplify]: iters left: 5 (29 enodes) 3.449 * * [simplify]: iters left: 4 (38 enodes) 3.459 * * [simplify]: iters left: 3 (40 enodes) 3.464 * * [simplify]: Extracting #0: cost 1 inf + 0 3.464 * * [simplify]: Extracting #1: cost 3 inf + 0 3.464 * * [simplify]: Extracting #2: cost 5 inf + 0 3.464 * * [simplify]: Extracting #3: cost 8 inf + 0 3.464 * * [simplify]: Extracting #4: cost 9 inf + 1 3.464 * * [simplify]: Extracting #5: cost 13 inf + 1 3.464 * * [simplify]: Extracting #6: cost 14 inf + 2 3.464 * * [simplify]: Extracting #7: cost 9 inf + 249 3.464 * * [simplify]: Extracting #8: cost 5 inf + 836 3.465 * * [simplify]: Extracting #9: cost 1 inf + 2044 3.465 * * [simplify]: Extracting #10: cost 0 inf + 2386 3.465 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) 3.465 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.466 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 3.466 * [simplify]: Simplifying (sqrt 1) 3.466 * * [simplify]: iters left: 1 (2 enodes) 3.468 * * [simplify]: Extracting #0: cost 1 inf + 0 3.468 * * [simplify]: Extracting #1: cost 0 inf + 1 3.468 * [simplify]: Simplified to 1 3.468 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.468 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 3.468 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 3.468 * * [simplify]: iters left: 6 (6 enodes) 3.470 * * [simplify]: iters left: 5 (23 enodes) 3.474 * * [simplify]: iters left: 4 (32 enodes) 3.479 * * [simplify]: iters left: 3 (34 enodes) 3.483 * * [simplify]: Extracting #0: cost 1 inf + 0 3.483 * * [simplify]: Extracting #1: cost 4 inf + 0 3.483 * * [simplify]: Extracting #2: cost 5 inf + 1 3.483 * * [simplify]: Extracting #3: cost 9 inf + 1 3.484 * * [simplify]: Extracting #4: cost 9 inf + 43 3.484 * * [simplify]: Extracting #5: cost 0 inf + 1098 3.484 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1)) 3.484 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.484 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 3.484 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 3.484 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 3.484 * * [simplify]: iters left: 6 (7 enodes) 3.486 * * [simplify]: iters left: 5 (26 enodes) 3.491 * * [simplify]: iters left: 4 (35 enodes) 3.496 * * [simplify]: iters left: 3 (37 enodes) 3.501 * * [simplify]: Extracting #0: cost 1 inf + 0 3.501 * * [simplify]: Extracting #1: cost 3 inf + 0 3.501 * * [simplify]: Extracting #2: cost 6 inf + 0 3.501 * * [simplify]: Extracting #3: cost 7 inf + 1 3.501 * * [simplify]: Extracting #4: cost 11 inf + 1 3.501 * * [simplify]: Extracting #5: cost 8 inf + 249 3.501 * * [simplify]: Extracting #6: cost 3 inf + 836 3.502 * * [simplify]: Extracting #7: cost 1 inf + 1400 3.502 * * [simplify]: Extracting #8: cost 0 inf + 1702 3.502 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) 3.502 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.502 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 3.502 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> 3.502 * * * * [progress]: [ 43 / 62 ] simplifiying candidate # 3.502 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 3.502 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 3.503 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 3.503 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 3.503 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 3.503 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 3.503 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))))> 3.503 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 3.503 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.503 * * [simplify]: iters left: 6 (8 enodes) 3.506 * * [simplify]: iters left: 5 (34 enodes) 3.511 * * [simplify]: iters left: 4 (45 enodes) 3.518 * * [simplify]: iters left: 3 (51 enodes) 3.525 * * [simplify]: iters left: 2 (57 enodes) 3.532 * * [simplify]: Extracting #0: cost 1 inf + 0 3.532 * * [simplify]: Extracting #1: cost 3 inf + 0 3.532 * * [simplify]: Extracting #2: cost 6 inf + 0 3.532 * * [simplify]: Extracting #3: cost 11 inf + 1 3.532 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.533 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.533 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.533 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 3.533 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 3.533 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.533 * * [simplify]: iters left: 6 (8 enodes) 3.536 * * [simplify]: iters left: 5 (34 enodes) 3.543 * * [simplify]: iters left: 4 (45 enodes) 3.549 * * [simplify]: iters left: 3 (51 enodes) 3.557 * * [simplify]: iters left: 2 (57 enodes) 3.572 * * [simplify]: Extracting #0: cost 1 inf + 0 3.572 * * [simplify]: Extracting #1: cost 3 inf + 0 3.572 * * [simplify]: Extracting #2: cost 6 inf + 0 3.572 * * [simplify]: Extracting #3: cost 11 inf + 1 3.572 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.573 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.573 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.574 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 3.574 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 3.574 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.574 * * [simplify]: iters left: 6 (8 enodes) 3.580 * * [simplify]: iters left: 5 (34 enodes) 3.591 * * [simplify]: iters left: 4 (45 enodes) 3.598 * * [simplify]: iters left: 3 (51 enodes) 3.605 * * [simplify]: iters left: 2 (57 enodes) 3.612 * * [simplify]: Extracting #0: cost 1 inf + 0 3.612 * * [simplify]: Extracting #1: cost 3 inf + 0 3.612 * * [simplify]: Extracting #2: cost 6 inf + 0 3.612 * * [simplify]: Extracting #3: cost 11 inf + 1 3.612 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.613 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.613 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.613 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 3.613 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 3.613 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.613 * * [simplify]: iters left: 6 (8 enodes) 3.616 * * [simplify]: iters left: 5 (34 enodes) 3.622 * * [simplify]: iters left: 4 (45 enodes) 3.634 * * [simplify]: iters left: 3 (51 enodes) 3.647 * * [simplify]: iters left: 2 (57 enodes) 3.658 * * [simplify]: Extracting #0: cost 1 inf + 0 3.658 * * [simplify]: Extracting #1: cost 3 inf + 0 3.658 * * [simplify]: Extracting #2: cost 6 inf + 0 3.658 * * [simplify]: Extracting #3: cost 11 inf + 1 3.658 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.658 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.659 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.659 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.659 * * * * [progress]: [ 55 / 62 ] simplifiying candidate # 3.659 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.659 * * [simplify]: iters left: 6 (8 enodes) 3.662 * * [simplify]: iters left: 5 (34 enodes) 3.667 * * [simplify]: iters left: 4 (45 enodes) 3.674 * * [simplify]: iters left: 3 (51 enodes) 3.681 * * [simplify]: iters left: 2 (57 enodes) 3.693 * * [simplify]: Extracting #0: cost 1 inf + 0 3.693 * * [simplify]: Extracting #1: cost 3 inf + 0 3.693 * * [simplify]: Extracting #2: cost 6 inf + 0 3.693 * * [simplify]: Extracting #3: cost 11 inf + 1 3.693 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.694 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.694 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.694 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.695 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 3.695 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.695 * * [simplify]: iters left: 6 (8 enodes) 3.700 * * [simplify]: iters left: 5 (34 enodes) 3.711 * * [simplify]: iters left: 4 (45 enodes) 3.723 * * [simplify]: iters left: 3 (51 enodes) 3.736 * * [simplify]: iters left: 2 (57 enodes) 3.750 * * [simplify]: Extracting #0: cost 1 inf + 0 3.750 * * [simplify]: Extracting #1: cost 3 inf + 0 3.750 * * [simplify]: Extracting #2: cost 6 inf + 0 3.750 * * [simplify]: Extracting #3: cost 11 inf + 1 3.750 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.751 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.751 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.752 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.752 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 3.752 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.752 * * [simplify]: iters left: 6 (8 enodes) 3.757 * * [simplify]: iters left: 5 (34 enodes) 3.769 * * [simplify]: iters left: 4 (45 enodes) 3.783 * * [simplify]: iters left: 3 (51 enodes) 3.797 * * [simplify]: iters left: 2 (57 enodes) 3.811 * * [simplify]: Extracting #0: cost 1 inf + 0 3.811 * * [simplify]: Extracting #1: cost 3 inf + 0 3.811 * * [simplify]: Extracting #2: cost 6 inf + 0 3.811 * * [simplify]: Extracting #3: cost 11 inf + 1 3.811 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.812 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.813 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.813 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.813 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 3.814 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.814 * * [simplify]: iters left: 6 (8 enodes) 3.819 * * [simplify]: iters left: 5 (34 enodes) 3.830 * * [simplify]: iters left: 4 (45 enodes) 3.842 * * [simplify]: iters left: 3 (51 enodes) 3.856 * * [simplify]: iters left: 2 (57 enodes) 3.870 * * [simplify]: Extracting #0: cost 1 inf + 0 3.870 * * [simplify]: Extracting #1: cost 3 inf + 0 3.870 * * [simplify]: Extracting #2: cost 6 inf + 0 3.870 * * [simplify]: Extracting #3: cost 11 inf + 1 3.871 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.871 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.872 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.872 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.872 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 3.873 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 3.873 * * [simplify]: iters left: 6 (8 enodes) 3.878 * * [simplify]: iters left: 5 (34 enodes) 3.888 * * [simplify]: iters left: 4 (45 enodes) 3.901 * * [simplify]: iters left: 3 (51 enodes) 3.914 * * [simplify]: iters left: 2 (57 enodes) 3.929 * * [simplify]: Extracting #0: cost 1 inf + 0 3.929 * * [simplify]: Extracting #1: cost 3 inf + 0 3.929 * * [simplify]: Extracting #2: cost 6 inf + 0 3.929 * * [simplify]: Extracting #3: cost 11 inf + 1 3.929 * * [simplify]: Extracting #4: cost 5 inf + 1620 3.930 * * [simplify]: Extracting #5: cost 0 inf + 1867 3.931 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 3.931 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 3.931 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 3.931 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 3.931 * * [simplify]: iters left: 6 (7 enodes) 3.936 * * [simplify]: iters left: 5 (31 enodes) 3.948 * * [simplify]: iters left: 4 (42 enodes) 3.960 * * [simplify]: iters left: 3 (48 enodes) 3.973 * * [simplify]: iters left: 2 (54 enodes) 3.987 * * [simplify]: Extracting #0: cost 1 inf + 0 3.987 * * [simplify]: Extracting #1: cost 4 inf + 0 3.987 * * [simplify]: Extracting #2: cost 9 inf + 1 3.987 * * [simplify]: Extracting #3: cost 5 inf + 1016 3.988 * * [simplify]: Extracting #4: cost 0 inf + 1263 3.988 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 3.988 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 3.988 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 3.989 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 3.989 * * [simplify]: iters left: 6 (7 enodes) 3.993 * * [simplify]: iters left: 5 (31 enodes) 4.003 * * [simplify]: iters left: 4 (42 enodes) 4.015 * * [simplify]: iters left: 3 (48 enodes) 4.025 * * [simplify]: iters left: 2 (54 enodes) 4.032 * * [simplify]: Extracting #0: cost 1 inf + 0 4.032 * * [simplify]: Extracting #1: cost 4 inf + 0 4.032 * * [simplify]: Extracting #2: cost 9 inf + 1 4.033 * * [simplify]: Extracting #3: cost 5 inf + 1016 4.033 * * [simplify]: Extracting #4: cost 0 inf + 1263 4.033 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 4.033 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 4.034 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 4.034 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 4.034 * * [simplify]: iters left: 6 (7 enodes) 4.036 * * [simplify]: iters left: 5 (31 enodes) 4.041 * * [simplify]: iters left: 4 (42 enodes) 4.048 * * [simplify]: iters left: 3 (48 enodes) 4.054 * * [simplify]: iters left: 2 (54 enodes) 4.063 * * [simplify]: Extracting #0: cost 1 inf + 0 4.063 * * [simplify]: Extracting #1: cost 4 inf + 0 4.063 * * [simplify]: Extracting #2: cost 9 inf + 1 4.063 * * [simplify]: Extracting #3: cost 5 inf + 1016 4.064 * * [simplify]: Extracting #4: cost 0 inf + 1263 4.064 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 4.064 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))) 4.064 * * * [progress]: adding candidates to table 4.862 * [progress]: [Phase 3 of 3] Extracting. 4.862 * * [regime]: Finding splitpoints for: (# # # # #) 4.863 * * * [regime-changes]: Trying 1 branch expressions: (N) 4.863 * * * * [regimes]: Trying to branch on N from (# # # # #) 4.916 * * * [regime]: Found split indices: #