0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.070 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.071 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.071 * * [simplify]: iters left: 5 (6 enodes) 0.075 * * [simplify]: iters left: 4 (23 enodes) 0.082 * * [simplify]: iters left: 3 (28 enodes) 0.091 * * [simplify]: Extracting #0: cost 1 inf + 0 0.091 * * [simplify]: Extracting #1: cost 5 inf + 0 0.091 * * [simplify]: Extracting #2: cost 10 inf + 0 0.091 * * [simplify]: Extracting #3: cost 11 inf + 1 0.091 * * [simplify]: Extracting #4: cost 6 inf + 298 0.091 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.092 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.092 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.092 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.148 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.149 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.149 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.149 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.150 * [taylor]: Taking taylor expansion of (atan N) in N 0.150 * [backup-simplify]: Simplify (atan N) into (atan N) 0.150 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.150 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.150 * [taylor]: Taking taylor expansion of (atan N) in N 0.150 * [backup-simplify]: Simplify (atan N) into (atan N) 0.150 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.150 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.150 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.154 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.154 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.154 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.154 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.154 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.154 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.154 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.154 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.154 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.154 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.154 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.154 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.154 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.154 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.157 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.158 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.158 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.158 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.158 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.158 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.158 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.158 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.158 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.158 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.158 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.158 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.158 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.158 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.158 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.161 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.161 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.161 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.161 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.161 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.162 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.162 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.162 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.163 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.163 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.163 * * * [progress]: simplifying candidates 0.163 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 0.163 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 0.163 * * [simplify]: iters left: 6 (12 enodes) 0.166 * * [simplify]: iters left: 5 (48 enodes) 0.175 * * [simplify]: iters left: 4 (70 enodes) 0.187 * * [simplify]: iters left: 3 (92 enodes) 0.203 * * [simplify]: iters left: 2 (133 enodes) 0.244 * * [simplify]: iters left: 1 (224 enodes) 0.310 * * [simplify]: Extracting #0: cost 1 inf + 0 0.311 * * [simplify]: Extracting #1: cost 20 inf + 0 0.311 * * [simplify]: Extracting #2: cost 73 inf + 0 0.311 * * [simplify]: Extracting #3: cost 91 inf + 111 0.311 * * [simplify]: Extracting #4: cost 80 inf + 1802 0.313 * * [simplify]: Extracting #5: cost 31 inf + 28492 0.316 * * [simplify]: Extracting #6: cost 2 inf + 46521 0.320 * * [simplify]: Extracting #7: cost 0 inf + 48267 0.329 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.329 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) 0.330 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 0.330 * * [simplify]: iters left: 6 (7 enodes) 0.333 * * [simplify]: iters left: 5 (26 enodes) 0.342 * * [simplify]: iters left: 4 (42 enodes) 0.358 * * [simplify]: iters left: 3 (83 enodes) 0.373 * * [simplify]: iters left: 2 (133 enodes) 0.394 * * [simplify]: iters left: 1 (202 enodes) 0.439 * * [simplify]: Extracting #0: cost 1 inf + 0 0.439 * * [simplify]: Extracting #1: cost 0 inf + 1 0.439 * [simplify]: Simplified to 0 0.439 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.440 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 0.440 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) 0.440 * * [simplify]: iters left: 6 (11 enodes) 0.442 * * [simplify]: iters left: 5 (39 enodes) 0.448 * * [simplify]: iters left: 4 (49 enodes) 0.456 * * [simplify]: iters left: 3 (54 enodes) 0.471 * * [simplify]: iters left: 2 (61 enodes) 0.490 * * [simplify]: iters left: 1 (78 enodes) 0.517 * * [simplify]: Extracting #0: cost 1 inf + 0 0.518 * * [simplify]: Extracting #1: cost 12 inf + 0 0.518 * * [simplify]: Extracting #2: cost 28 inf + 0 0.518 * * [simplify]: Extracting #3: cost 27 inf + 401 0.518 * * [simplify]: Extracting #4: cost 22 inf + 987 0.519 * * [simplify]: Extracting #5: cost 12 inf + 2711 0.519 * * [simplify]: Extracting #6: cost 4 inf + 5977 0.520 * * [simplify]: Extracting #7: cost 1 inf + 7661 0.521 * * [simplify]: Extracting #8: cost 0 inf + 8284 0.522 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.522 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) 0.522 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 0.522 * * [simplify]: iters left: 5 (6 enodes) 0.524 * * [simplify]: iters left: 4 (18 enodes) 0.526 * * [simplify]: iters left: 3 (26 enodes) 0.532 * * [simplify]: iters left: 2 (34 enodes) 0.537 * * [simplify]: iters left: 1 (36 enodes) 0.541 * * [simplify]: Extracting #0: cost 1 inf + 0 0.541 * * [simplify]: Extracting #1: cost 0 inf + 1 0.541 * [simplify]: Simplified to 0 0.541 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.541 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 0.542 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) 0.542 * * [simplify]: iters left: 6 (10 enodes) 0.545 * * [simplify]: iters left: 5 (39 enodes) 0.553 * * [simplify]: iters left: 4 (52 enodes) 0.568 * * [simplify]: iters left: 3 (63 enodes) 0.577 * * [simplify]: iters left: 2 (70 enodes) 0.588 * * [simplify]: iters left: 1 (84 enodes) 0.605 * * [simplify]: Extracting #0: cost 1 inf + 0 0.605 * * [simplify]: Extracting #1: cost 9 inf + 0 0.606 * * [simplify]: Extracting #2: cost 17 inf + 2 0.606 * * [simplify]: Extracting #3: cost 19 inf + 4 0.606 * * [simplify]: Extracting #4: cost 14 inf + 887 0.607 * * [simplify]: Extracting #5: cost 7 inf + 2842 0.608 * * [simplify]: Extracting #6: cost 1 inf + 4691 0.609 * * [simplify]: Extracting #7: cost 0 inf + 5129 0.611 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.611 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 0.611 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 0.611 * * [simplify]: iters left: 4 (6 enodes) 0.614 * * [simplify]: iters left: 3 (21 enodes) 0.622 * * [simplify]: iters left: 2 (31 enodes) 0.632 * * [simplify]: iters left: 1 (35 enodes) 0.646 * * [simplify]: Extracting #0: cost 1 inf + 0 0.646 * * [simplify]: Extracting #1: cost 7 inf + 0 0.646 * * [simplify]: Extracting #2: cost 7 inf + 3 0.646 * * [simplify]: Extracting #3: cost 2 inf + 510 0.646 * * [simplify]: Extracting #4: cost 0 inf + 802 0.647 * [simplify]: Simplified to (* (atan N) 0) 0.647 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0))) 0.647 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 0.647 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 0.647 * * [simplify]: iters left: 6 (11 enodes) 0.653 * * [simplify]: iters left: 5 (45 enodes) 0.668 * * [simplify]: iters left: 4 (63 enodes) 0.688 * * [simplify]: iters left: 3 (83 enodes) 0.705 * * [simplify]: iters left: 2 (129 enodes) 0.734 * * [simplify]: iters left: 1 (221 enodes) 0.795 * * [simplify]: Extracting #0: cost 1 inf + 0 0.796 * * [simplify]: Extracting #1: cost 22 inf + 0 0.796 * * [simplify]: Extracting #2: cost 93 inf + 0 0.797 * * [simplify]: Extracting #3: cost 108 inf + 257 0.798 * * [simplify]: Extracting #4: cost 99 inf + 1300 0.802 * * [simplify]: Extracting #5: cost 57 inf + 22253 0.811 * * [simplify]: Extracting #6: cost 5 inf + 60513 0.820 * * [simplify]: Extracting #7: cost 0 inf + 64154 0.825 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.826 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) 0.826 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 0.826 * * [simplify]: iters left: 6 (7 enodes) 0.827 * * [simplify]: iters left: 5 (26 enodes) 0.832 * * [simplify]: iters left: 4 (42 enodes) 0.841 * * [simplify]: iters left: 3 (83 enodes) 0.866 * * [simplify]: iters left: 2 (133 enodes) 0.906 * * [simplify]: iters left: 1 (202 enodes) 0.976 * * [simplify]: Extracting #0: cost 1 inf + 0 0.976 * * [simplify]: Extracting #1: cost 0 inf + 1 0.977 * [simplify]: Simplified to 0 0.977 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 0.977 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 0.977 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) 0.977 * * [simplify]: iters left: 6 (10 enodes) 0.985 * * [simplify]: iters left: 5 (36 enodes) 0.994 * * [simplify]: iters left: 4 (42 enodes) 1.000 * * [simplify]: iters left: 3 (46 enodes) 1.007 * * [simplify]: iters left: 2 (54 enodes) 1.015 * * [simplify]: iters left: 1 (71 enodes) 1.035 * * [simplify]: Extracting #0: cost 1 inf + 0 1.035 * * [simplify]: Extracting #1: cost 14 inf + 0 1.035 * * [simplify]: Extracting #2: cost 34 inf + 0 1.035 * * [simplify]: Extracting #3: cost 35 inf + 1 1.036 * * [simplify]: Extracting #4: cost 31 inf + 400 1.036 * * [simplify]: Extracting #5: cost 17 inf + 3183 1.039 * * [simplify]: Extracting #6: cost 3 inf + 8526 1.042 * * [simplify]: Extracting #7: cost 0 inf + 9762 1.045 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.045 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) 1.045 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 1.045 * * [simplify]: iters left: 5 (6 enodes) 1.048 * * [simplify]: iters left: 4 (18 enodes) 1.053 * * [simplify]: iters left: 3 (26 enodes) 1.061 * * [simplify]: iters left: 2 (34 enodes) 1.070 * * [simplify]: iters left: 1 (36 enodes) 1.078 * * [simplify]: Extracting #0: cost 1 inf + 0 1.078 * * [simplify]: Extracting #1: cost 0 inf + 1 1.078 * [simplify]: Simplified to 0 1.078 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0)) 1.078 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 1.079 * [simplify]: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) 1.079 * * [simplify]: iters left: 6 (9 enodes) 1.084 * * [simplify]: iters left: 5 (36 enodes) 1.097 * * [simplify]: iters left: 4 (45 enodes) 1.111 * * [simplify]: iters left: 3 (50 enodes) 1.126 * * [simplify]: Extracting #0: cost 1 inf + 0 1.126 * * [simplify]: Extracting #1: cost 6 inf + 0 1.127 * * [simplify]: Extracting #2: cost 14 inf + 0 1.127 * * [simplify]: Extracting #3: cost 12 inf + 3 1.127 * * [simplify]: Extracting #4: cost 6 inf + 592 1.127 * * [simplify]: Extracting #5: cost 0 inf + 1843 1.128 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.128 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 1.128 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 1.128 * * [simplify]: iters left: 4 (6 enodes) 1.132 * * [simplify]: iters left: 3 (21 enodes) 1.139 * * [simplify]: iters left: 2 (31 enodes) 1.144 * * [simplify]: iters left: 1 (35 enodes) 1.150 * * [simplify]: Extracting #0: cost 1 inf + 0 1.150 * * [simplify]: Extracting #1: cost 7 inf + 0 1.150 * * [simplify]: Extracting #2: cost 7 inf + 3 1.150 * * [simplify]: Extracting #3: cost 2 inf + 510 1.150 * * [simplify]: Extracting #4: cost 0 inf + 802 1.150 * [simplify]: Simplified to (* (atan N) 0) 1.150 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (atan N) 0))) 1.150 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 1.151 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) 1.151 * * [simplify]: iters left: 6 (10 enodes) 1.153 * * [simplify]: iters left: 5 (42 enodes) 1.162 * * [simplify]: iters left: 4 (61 enodes) 1.183 * * [simplify]: iters left: 3 (81 enodes) 1.200 * * [simplify]: iters left: 2 (121 enodes) 1.229 * * [simplify]: iters left: 1 (204 enodes) 1.280 * * [simplify]: Extracting #0: cost 1 inf + 0 1.280 * * [simplify]: Extracting #1: cost 14 inf + 0 1.281 * * [simplify]: Extracting #2: cost 52 inf + 1 1.281 * * [simplify]: Extracting #3: cost 74 inf + 6 1.282 * * [simplify]: Extracting #4: cost 65 inf + 1076 1.283 * * [simplify]: Extracting #5: cost 47 inf + 8292 1.288 * * [simplify]: Extracting #6: cost 8 inf + 31632 1.295 * * [simplify]: Extracting #7: cost 0 inf + 37569 1.300 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.300 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))) 1.300 * [simplify]: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) 1.300 * * [simplify]: iters left: 6 (7 enodes) 1.302 * * [simplify]: iters left: 5 (26 enodes) 1.307 * * [simplify]: iters left: 4 (42 enodes) 1.316 * * [simplify]: iters left: 3 (83 enodes) 1.337 * * [simplify]: iters left: 2 (133 enodes) 1.361 * * [simplify]: iters left: 1 (202 enodes) 1.417 * * [simplify]: Extracting #0: cost 1 inf + 0 1.417 * * [simplify]: Extracting #1: cost 0 inf + 1 1.417 * [simplify]: Simplified to 0 1.417 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) 1.417 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 1.418 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) 1.418 * * [simplify]: iters left: 6 (9 enodes) 1.426 * * [simplify]: iters left: 5 (33 enodes) 1.436 * * [simplify]: iters left: 4 (40 enodes) 1.448 * * [simplify]: iters left: 3 (44 enodes) 1.460 * * [simplify]: iters left: 2 (45 enodes) 1.469 * * [simplify]: iters left: 1 (47 enodes) 1.476 * * [simplify]: Extracting #0: cost 1 inf + 0 1.476 * * [simplify]: Extracting #1: cost 8 inf + 0 1.476 * * [simplify]: Extracting #2: cost 14 inf + 1 1.476 * * [simplify]: Extracting #3: cost 14 inf + 2 1.476 * * [simplify]: Extracting #4: cost 2 inf + 1548 1.476 * * [simplify]: Extracting #5: cost 0 inf + 2132 1.476 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.477 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))))) 1.477 * [simplify]: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) 1.477 * * [simplify]: iters left: 5 (6 enodes) 1.478 * * [simplify]: iters left: 4 (18 enodes) 1.481 * * [simplify]: iters left: 3 (26 enodes) 1.485 * * [simplify]: iters left: 2 (34 enodes) 1.489 * * [simplify]: iters left: 1 (36 enodes) 1.493 * * [simplify]: Extracting #0: cost 1 inf + 0 1.494 * * [simplify]: Extracting #1: cost 0 inf + 1 1.494 * [simplify]: Simplified to 0 1.494 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0)) 1.494 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 1.494 * [simplify]: Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) 1.494 * * [simplify]: iters left: 6 (8 enodes) 1.496 * * [simplify]: iters left: 5 (33 enodes) 1.505 * * [simplify]: iters left: 4 (43 enodes) 1.519 * * [simplify]: iters left: 3 (49 enodes) 1.530 * * [simplify]: iters left: 2 (51 enodes) 1.536 * * [simplify]: iters left: 1 (55 enodes) 1.544 * * [simplify]: Extracting #0: cost 1 inf + 0 1.544 * * [simplify]: Extracting #1: cost 7 inf + 0 1.545 * * [simplify]: Extracting #2: cost 10 inf + 2 1.545 * * [simplify]: Extracting #3: cost 10 inf + 3 1.545 * * [simplify]: Extracting #4: cost 2 inf + 1177 1.545 * * [simplify]: Extracting #5: cost 0 inf + 1469 1.545 * [simplify]: Simplified to (- (atan (+ N 1)) (atan N)) 1.545 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1)))) 1.546 * [simplify]: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) 1.546 * * [simplify]: iters left: 4 (6 enodes) 1.547 * * [simplify]: iters left: 3 (21 enodes) 1.552 * * [simplify]: iters left: 2 (31 enodes) 1.556 * * [simplify]: iters left: 1 (35 enodes) 1.562 * * [simplify]: Extracting #0: cost 1 inf + 0 1.562 * * [simplify]: Extracting #1: cost 7 inf + 0 1.562 * * [simplify]: Extracting #2: cost 7 inf + 3 1.562 * * [simplify]: Extracting #3: cost 2 inf + 510 1.562 * * [simplify]: Extracting #4: cost 0 inf + 802 1.563 * [simplify]: Simplified to (* (atan N) 0) 1.563 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (* (atan N) 0))) 1.563 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 1.563 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 1.563 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 1.563 * [simplify]: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) 1.563 * * [simplify]: iters left: 6 (6 enodes) 1.567 * * [simplify]: iters left: 5 (21 enodes) 1.573 * * [simplify]: iters left: 4 (23 enodes) 1.580 * * [simplify]: Extracting #0: cost 1 inf + 0 1.580 * * [simplify]: Extracting #1: cost 3 inf + 0 1.580 * * [simplify]: Extracting #2: cost 5 inf + 0 1.580 * * [simplify]: Extracting #3: cost 7 inf + 0 1.580 * * [simplify]: Extracting #4: cost 10 inf + 0 1.580 * * [simplify]: Extracting #5: cost 8 inf + 2 1.580 * * [simplify]: Extracting #6: cost 0 inf + 1368 1.581 * [simplify]: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) 1.581 * [simplify]: Simplified (2 1) to (λ (N) (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ N 1))) (- (atan N)))) 1.581 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 1.581 * [simplify]: Simplifying (sqrt (atan (+ N 1))) 1.581 * * [simplify]: iters left: 4 (5 enodes) 1.584 * * [simplify]: iters left: 3 (18 enodes) 1.589 * * [simplify]: iters left: 2 (20 enodes) 1.593 * * [simplify]: Extracting #0: cost 1 inf + 0 1.593 * * [simplify]: Extracting #1: cost 3 inf + 0 1.593 * * [simplify]: Extracting #2: cost 5 inf + 0 1.593 * * [simplify]: Extracting #3: cost 8 inf + 0 1.593 * * [simplify]: Extracting #4: cost 6 inf + 2 1.593 * * [simplify]: Extracting #5: cost 0 inf + 754 1.593 * [simplify]: Simplified to (sqrt (atan (+ 1 N))) 1.593 * [simplify]: Simplified (2 1) to (λ (N) (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ N 1))) (- (atan N)))) 1.593 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 1.593 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 1.593 * [simplify]: Simplifying (- (+ N 1) N) 1.594 * * [simplify]: iters left: 4 (4 enodes) 1.595 * * [simplify]: iters left: 3 (19 enodes) 1.598 * * [simplify]: iters left: 2 (33 enodes) 1.604 * * [simplify]: iters left: 1 (39 enodes) 1.608 * * [simplify]: Extracting #0: cost 1 inf + 0 1.608 * * [simplify]: Extracting #1: cost 0 inf + 1 1.608 * [simplify]: Simplified to 1 1.609 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1.609 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 1.609 * * [simplify]: iters left: 6 (5 enodes) 1.610 * * [simplify]: iters left: 5 (20 enodes) 1.614 * * [simplify]: iters left: 4 (31 enodes) 1.619 * * [simplify]: iters left: 3 (37 enodes) 1.624 * * [simplify]: Extracting #0: cost 1 inf + 0 1.624 * * [simplify]: Extracting #1: cost 6 inf + 0 1.624 * * [simplify]: Extracting #2: cost 6 inf + 58 1.625 * * [simplify]: Extracting #3: cost 1 inf + 433 1.625 * * [simplify]: Extracting #4: cost 0 inf + 474 1.625 * [simplify]: Simplified to (fma N (+ N 1) 1) 1.625 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 1.625 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 1.626 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1.626 * * [simplify]: iters left: 6 (8 enodes) 1.630 * * [simplify]: iters left: 5 (29 enodes) 1.639 * * [simplify]: iters left: 4 (35 enodes) 1.652 * * [simplify]: iters left: 3 (40 enodes) 1.664 * * [simplify]: iters left: 2 (44 enodes) 1.677 * * [simplify]: iters left: 1 (48 enodes) 1.690 * * [simplify]: Extracting #0: cost 1 inf + 0 1.690 * * [simplify]: Extracting #1: cost 9 inf + 0 1.690 * * [simplify]: Extracting #2: cost 15 inf + 1 1.690 * * [simplify]: Extracting #3: cost 20 inf + 1 1.690 * * [simplify]: Extracting #4: cost 20 inf + 2 1.691 * * [simplify]: Extracting #5: cost 16 inf + 339 1.691 * * [simplify]: Extracting #6: cost 0 inf + 4059 1.692 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1.692 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1.692 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 1.692 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 1.692 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 1.692 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 1.692 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 22 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 1.693 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 1.693 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1.693 * * [simplify]: iters left: 6 (8 enodes) 1.697 * * [simplify]: iters left: 5 (28 enodes) 1.705 * * [simplify]: iters left: 4 (30 enodes) 1.714 * * [simplify]: Extracting #0: cost 1 inf + 0 1.714 * * [simplify]: Extracting #1: cost 4 inf + 0 1.714 * * [simplify]: Extracting #2: cost 8 inf + 0 1.714 * * [simplify]: Extracting #3: cost 12 inf + 0 1.714 * * [simplify]: Extracting #4: cost 10 inf + 359 1.714 * * [simplify]: Extracting #5: cost 8 inf + 506 1.714 * * [simplify]: Extracting #6: cost 5 inf + 737 1.715 * * [simplify]: Extracting #7: cost 1 inf + 1630 1.715 * * [simplify]: Extracting #8: cost 0 inf + 2002 1.715 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1.715 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1.716 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1.716 * * [simplify]: iters left: 6 (8 enodes) 1.720 * * [simplify]: iters left: 5 (29 enodes) 1.729 * * [simplify]: iters left: 4 (34 enodes) 1.739 * * [simplify]: Extracting #0: cost 1 inf + 0 1.739 * * [simplify]: Extracting #1: cost 5 inf + 0 1.739 * * [simplify]: Extracting #2: cost 10 inf + 0 1.739 * * [simplify]: Extracting #3: cost 14 inf + 0 1.739 * * [simplify]: Extracting #4: cost 15 inf + 1 1.739 * * [simplify]: Extracting #5: cost 13 inf + 108 1.739 * * [simplify]: Extracting #6: cost 5 inf + 1109 1.740 * * [simplify]: Extracting #7: cost 0 inf + 2374 1.740 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1.740 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1.740 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 1.741 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.741 * * [simplify]: iters left: 5 (6 enodes) 1.744 * * [simplify]: iters left: 4 (23 enodes) 1.751 * * [simplify]: iters left: 3 (28 enodes) 1.759 * * [simplify]: Extracting #0: cost 1 inf + 0 1.759 * * [simplify]: Extracting #1: cost 5 inf + 0 1.759 * * [simplify]: Extracting #2: cost 10 inf + 0 1.759 * * [simplify]: Extracting #3: cost 11 inf + 1 1.759 * * [simplify]: Extracting #4: cost 6 inf + 298 1.759 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.760 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.760 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.760 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1.760 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 1.760 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 1.760 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 39 / 46 ] simplifiying candidate # 1.761 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 1.761 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 1.762 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.762 * * [simplify]: iters left: 5 (6 enodes) 1.765 * * [simplify]: iters left: 4 (23 enodes) 1.773 * * [simplify]: iters left: 3 (28 enodes) 1.781 * * [simplify]: Extracting #0: cost 1 inf + 0 1.781 * * [simplify]: Extracting #1: cost 5 inf + 0 1.781 * * [simplify]: Extracting #2: cost 10 inf + 0 1.781 * * [simplify]: Extracting #3: cost 11 inf + 1 1.781 * * [simplify]: Extracting #4: cost 6 inf + 298 1.782 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.782 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.782 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.782 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.783 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 1.783 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.783 * * [simplify]: iters left: 5 (6 enodes) 1.786 * * [simplify]: iters left: 4 (23 enodes) 1.793 * * [simplify]: iters left: 3 (28 enodes) 1.802 * * [simplify]: Extracting #0: cost 1 inf + 0 1.802 * * [simplify]: Extracting #1: cost 5 inf + 0 1.802 * * [simplify]: Extracting #2: cost 10 inf + 0 1.802 * * [simplify]: Extracting #3: cost 11 inf + 1 1.802 * * [simplify]: Extracting #4: cost 6 inf + 298 1.802 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.803 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.803 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.803 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.803 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 1.804 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 1.804 * * [simplify]: iters left: 5 (6 enodes) 1.807 * * [simplify]: iters left: 4 (23 enodes) 1.816 * * [simplify]: iters left: 3 (28 enodes) 1.825 * * [simplify]: Extracting #0: cost 1 inf + 0 1.825 * * [simplify]: Extracting #1: cost 5 inf + 0 1.825 * * [simplify]: Extracting #2: cost 10 inf + 0 1.825 * * [simplify]: Extracting #3: cost 11 inf + 1 1.825 * * [simplify]: Extracting #4: cost 6 inf + 298 1.825 * * [simplify]: Extracting #5: cost 1 inf + 1176 1.826 * * [simplify]: Extracting #6: cost 0 inf + 1468 1.826 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 1.826 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.826 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 1.827 * [simplify]: Simplifying (atan (+ N 1)) 1.827 * * [simplify]: iters left: 3 (4 enodes) 1.829 * * [simplify]: iters left: 2 (15 enodes) 1.834 * * [simplify]: iters left: 1 (17 enodes) 1.839 * * [simplify]: Extracting #0: cost 1 inf + 0 1.839 * * [simplify]: Extracting #1: cost 3 inf + 0 1.839 * * [simplify]: Extracting #2: cost 6 inf + 0 1.839 * * [simplify]: Extracting #3: cost 2 inf + 86 1.839 * * [simplify]: Extracting #4: cost 1 inf + 233 1.840 * * [simplify]: Extracting #5: cost 0 inf + 380 1.840 * [simplify]: Simplified to (atan (+ 1 N)) 1.840 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.840 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 1.840 * [simplify]: Simplifying (atan (+ N 1)) 1.840 * * [simplify]: iters left: 3 (4 enodes) 1.842 * * [simplify]: iters left: 2 (15 enodes) 1.847 * * [simplify]: iters left: 1 (17 enodes) 1.852 * * [simplify]: Extracting #0: cost 1 inf + 0 1.852 * * [simplify]: Extracting #1: cost 3 inf + 0 1.852 * * [simplify]: Extracting #2: cost 6 inf + 0 1.853 * * [simplify]: Extracting #3: cost 2 inf + 86 1.853 * * [simplify]: Extracting #4: cost 1 inf + 233 1.853 * * [simplify]: Extracting #5: cost 0 inf + 380 1.853 * [simplify]: Simplified to (atan (+ 1 N)) 1.853 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.853 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 1.853 * [simplify]: Simplifying (atan (+ N 1)) 1.854 * * [simplify]: iters left: 3 (4 enodes) 1.856 * * [simplify]: iters left: 2 (15 enodes) 1.861 * * [simplify]: iters left: 1 (17 enodes) 1.866 * * [simplify]: Extracting #0: cost 1 inf + 0 1.866 * * [simplify]: Extracting #1: cost 3 inf + 0 1.866 * * [simplify]: Extracting #2: cost 6 inf + 0 1.867 * * [simplify]: Extracting #3: cost 2 inf + 86 1.867 * * [simplify]: Extracting #4: cost 1 inf + 233 1.867 * * [simplify]: Extracting #5: cost 0 inf + 380 1.867 * [simplify]: Simplified to (atan (+ 1 N)) 1.867 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1.867 * * * [progress]: adding candidates to table 2.195 * * [progress]: iteration 2 / 4 2.195 * * * [progress]: picking best candidate 2.200 * * * * [pick]: Picked # 2.200 * * * [progress]: localizing error 2.220 * * * [progress]: generating rewritten candidates 2.220 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.221 * * * [progress]: generating series expansions 2.221 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.221 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.221 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.221 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.221 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.221 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.221 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.222 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.222 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.222 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.222 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.222 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.222 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.223 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.223 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.223 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.223 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.223 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.224 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.224 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.224 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.224 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.224 * * * [progress]: simplifying candidates 2.225 * * * * [progress]: [ 1 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 2 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 3 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 4 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 5 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 6 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 7 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 8 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 9 / 13 ] simplifiying candidate # 2.225 * * * * [progress]: [ 10 / 13 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))> 2.225 * * * * [progress]: [ 11 / 13 ] simplifiying candidate # 2.225 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.225 * * [simplify]: iters left: 4 (5 enodes) 2.228 * * [simplify]: iters left: 3 (20 enodes) 2.236 * * [simplify]: iters left: 2 (33 enodes) 2.246 * * [simplify]: iters left: 1 (40 enodes) 2.261 * * [simplify]: Extracting #0: cost 1 inf + 0 2.261 * * [simplify]: Extracting #1: cost 4 inf + 0 2.261 * * [simplify]: Extracting #2: cost 7 inf + 1 2.261 * * [simplify]: Extracting #3: cost 3 inf + 768 2.262 * * [simplify]: Extracting #4: cost 1 inf + 907 2.262 * * [simplify]: Extracting #5: cost 0 inf + 948 2.262 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.262 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.263 * * * * [progress]: [ 12 / 13 ] simplifiying candidate # 2.263 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.263 * * [simplify]: iters left: 4 (5 enodes) 2.266 * * [simplify]: iters left: 3 (20 enodes) 2.273 * * [simplify]: iters left: 2 (33 enodes) 2.283 * * [simplify]: iters left: 1 (40 enodes) 2.288 * * [simplify]: Extracting #0: cost 1 inf + 0 2.288 * * [simplify]: Extracting #1: cost 4 inf + 0 2.288 * * [simplify]: Extracting #2: cost 7 inf + 1 2.288 * * [simplify]: Extracting #3: cost 3 inf + 768 2.288 * * [simplify]: Extracting #4: cost 1 inf + 907 2.289 * * [simplify]: Extracting #5: cost 0 inf + 948 2.289 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.289 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.289 * * * * [progress]: [ 13 / 13 ] simplifiying candidate # 2.289 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.289 * * [simplify]: iters left: 4 (5 enodes) 2.290 * * [simplify]: iters left: 3 (20 enodes) 2.294 * * [simplify]: iters left: 2 (33 enodes) 2.300 * * [simplify]: iters left: 1 (40 enodes) 2.305 * * [simplify]: Extracting #0: cost 1 inf + 0 2.305 * * [simplify]: Extracting #1: cost 4 inf + 0 2.305 * * [simplify]: Extracting #2: cost 7 inf + 1 2.305 * * [simplify]: Extracting #3: cost 3 inf + 768 2.305 * * [simplify]: Extracting #4: cost 1 inf + 907 2.305 * * [simplify]: Extracting #5: cost 0 inf + 948 2.305 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.305 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1))) 2.306 * * * [progress]: adding candidates to table 2.426 * * [progress]: iteration 3 / 4 2.426 * * * [progress]: picking best candidate 2.437 * * * * [pick]: Picked # 2.438 * * * [progress]: localizing error 2.458 * * * [progress]: generating rewritten candidates 2.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.461 * * * [progress]: generating series expansions 2.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.461 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.461 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 2.462 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 2.462 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.462 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.462 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.462 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 2.462 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.462 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.462 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.462 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.462 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.469 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.469 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 2.469 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.469 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.469 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.470 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.470 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.470 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.470 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.470 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.470 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.474 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.474 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 2.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.474 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.474 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.474 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.474 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.474 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.474 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.474 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.475 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.478 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.479 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 2.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 2.479 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.479 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.479 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.479 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 2.479 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.479 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.479 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.479 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.482 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.482 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 2.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.482 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.482 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.483 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.483 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 2.483 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.483 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.483 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.483 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 2.483 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.487 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.487 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 2.487 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.487 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.487 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.487 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.487 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 2.487 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.487 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.487 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.487 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 2.487 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.491 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.491 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.491 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.491 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.491 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.491 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.491 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.491 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.491 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.491 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.491 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.491 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.492 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.492 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.492 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.492 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.493 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 2.493 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.493 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 2.493 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.493 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.493 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 2.493 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.494 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.494 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 2.494 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.494 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.494 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 2.495 * * * [progress]: simplifying candidates 2.495 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 2.495 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 2.495 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))) 2.495 * * [simplify]: iters left: 6 (8 enodes) 2.498 * * [simplify]: iters left: 5 (30 enodes) 2.507 * * [simplify]: iters left: 4 (43 enodes) 2.520 * * [simplify]: iters left: 3 (50 enodes) 2.528 * * [simplify]: Extracting #0: cost 1 inf + 0 2.528 * * [simplify]: Extracting #1: cost 4 inf + 0 2.528 * * [simplify]: Extracting #2: cost 7 inf + 0 2.528 * * [simplify]: Extracting #3: cost 10 inf + 0 2.528 * * [simplify]: Extracting #4: cost 13 inf + 1 2.528 * * [simplify]: Extracting #5: cost 15 inf + 2 2.528 * * [simplify]: Extracting #6: cost 10 inf + 336 2.528 * * [simplify]: Extracting #7: cost 5 inf + 1385 2.529 * * [simplify]: Extracting #8: cost 0 inf + 3010 2.529 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) 2.529 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1))))))) 2.529 * * * * [progress]: [ 10 / 64 ] simplifiying candidate # 2.530 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 2.530 * * [simplify]: iters left: 6 (7 enodes) 2.531 * * [simplify]: iters left: 5 (26 enodes) 2.536 * * [simplify]: iters left: 4 (39 enodes) 2.543 * * [simplify]: iters left: 3 (46 enodes) 2.548 * * [simplify]: Extracting #0: cost 1 inf + 0 2.549 * * [simplify]: Extracting #1: cost 3 inf + 0 2.549 * * [simplify]: Extracting #2: cost 5 inf + 0 2.549 * * [simplify]: Extracting #3: cost 8 inf + 0 2.549 * * [simplify]: Extracting #4: cost 11 inf + 1 2.549 * * [simplify]: Extracting #5: cost 9 inf + 294 2.549 * * [simplify]: Extracting #6: cost 5 inf + 947 2.549 * * [simplify]: Extracting #7: cost 1 inf + 1819 2.549 * * [simplify]: Extracting #8: cost 0 inf + 2136 2.550 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 2.550 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))))) 2.550 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 2.550 * [simplify]: Simplifying (sqrt 1) 2.550 * * [simplify]: iters left: 1 (2 enodes) 2.553 * * [simplify]: Extracting #0: cost 1 inf + 0 2.553 * * [simplify]: Extracting #1: cost 0 inf + 1 2.553 * [simplify]: Simplified to 1 2.553 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (* 1 (sqrt (atan2 1 (fma N (+ N 1) 1)))))) 2.553 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 2.553 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.554 * * [simplify]: iters left: 4 (5 enodes) 2.556 * * [simplify]: iters left: 3 (20 enodes) 2.567 * * [simplify]: iters left: 2 (33 enodes) 2.579 * * [simplify]: iters left: 1 (40 enodes) 2.588 * * [simplify]: Extracting #0: cost 1 inf + 0 2.588 * * [simplify]: Extracting #1: cost 4 inf + 0 2.589 * * [simplify]: Extracting #2: cost 7 inf + 1 2.589 * * [simplify]: Extracting #3: cost 3 inf + 768 2.589 * * [simplify]: Extracting #4: cost 1 inf + 907 2.589 * * [simplify]: Extracting #5: cost 0 inf + 948 2.590 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.590 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (pow (atan2 1 (fma N (+ N 1) 1)) (/ 1 2)))) 2.590 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 2.590 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 2.590 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.590 * * [simplify]: iters left: 5 (6 enodes) 2.592 * * [simplify]: iters left: 4 (23 enodes) 2.596 * * [simplify]: iters left: 3 (36 enodes) 2.602 * * [simplify]: iters left: 2 (43 enodes) 2.607 * * [simplify]: Extracting #0: cost 1 inf + 0 2.607 * * [simplify]: Extracting #1: cost 3 inf + 0 2.607 * * [simplify]: Extracting #2: cost 6 inf + 0 2.607 * * [simplify]: Extracting #3: cost 9 inf + 1 2.607 * * [simplify]: Extracting #4: cost 10 inf + 44 2.607 * * [simplify]: Extracting #5: cost 6 inf + 336 2.608 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.608 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.608 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.608 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (fabs (sqrt (atan2 1 (+ 1 (fma N N N))))))) 2.608 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 2.608 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))))))> 2.608 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 2.608 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 2.608 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 2.608 * * * * [progress]: [ 20 / 64 ] simplifiying candidate # 2.609 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 2.609 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 2.609 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 2.609 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 2.609 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 2.609 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))) 2.609 * * [simplify]: iters left: 6 (8 enodes) 2.611 * * [simplify]: iters left: 5 (30 enodes) 2.616 * * [simplify]: iters left: 4 (43 enodes) 2.628 * * [simplify]: iters left: 3 (50 enodes) 2.638 * * [simplify]: Extracting #0: cost 1 inf + 0 2.638 * * [simplify]: Extracting #1: cost 4 inf + 0 2.638 * * [simplify]: Extracting #2: cost 7 inf + 0 2.638 * * [simplify]: Extracting #3: cost 10 inf + 0 2.638 * * [simplify]: Extracting #4: cost 13 inf + 1 2.638 * * [simplify]: Extracting #5: cost 15 inf + 2 2.638 * * [simplify]: Extracting #6: cost 10 inf + 336 2.638 * * [simplify]: Extracting #7: cost 5 inf + 1385 2.639 * * [simplify]: Extracting #8: cost 0 inf + 3010 2.639 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) 2.639 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.639 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 2.639 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 2.639 * * [simplify]: iters left: 6 (7 enodes) 2.641 * * [simplify]: iters left: 5 (26 enodes) 2.646 * * [simplify]: iters left: 4 (39 enodes) 2.652 * * [simplify]: iters left: 3 (46 enodes) 2.658 * * [simplify]: Extracting #0: cost 1 inf + 0 2.659 * * [simplify]: Extracting #1: cost 3 inf + 0 2.659 * * [simplify]: Extracting #2: cost 5 inf + 0 2.659 * * [simplify]: Extracting #3: cost 8 inf + 0 2.659 * * [simplify]: Extracting #4: cost 11 inf + 1 2.659 * * [simplify]: Extracting #5: cost 9 inf + 294 2.659 * * [simplify]: Extracting #6: cost 5 inf + 947 2.659 * * [simplify]: Extracting #7: cost 1 inf + 1819 2.659 * * [simplify]: Extracting #8: cost 0 inf + 2136 2.660 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 2.660 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.660 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 2.660 * [simplify]: Simplifying (sqrt 1) 2.660 * * [simplify]: iters left: 1 (2 enodes) 2.662 * * [simplify]: Extracting #0: cost 1 inf + 0 2.662 * * [simplify]: Extracting #1: cost 0 inf + 1 2.662 * [simplify]: Simplified to 1 2.662 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.662 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 2.663 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.663 * * [simplify]: iters left: 4 (5 enodes) 2.665 * * [simplify]: iters left: 3 (20 enodes) 2.675 * * [simplify]: iters left: 2 (33 enodes) 2.687 * * [simplify]: iters left: 1 (40 enodes) 2.697 * * [simplify]: Extracting #0: cost 1 inf + 0 2.697 * * [simplify]: Extracting #1: cost 4 inf + 0 2.697 * * [simplify]: Extracting #2: cost 7 inf + 1 2.697 * * [simplify]: Extracting #3: cost 3 inf + 768 2.698 * * [simplify]: Extracting #4: cost 1 inf + 907 2.698 * * [simplify]: Extracting #5: cost 0 inf + 948 2.698 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.699 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (fma N (+ N 1) 1)) (/ 1 2)) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.699 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 2.699 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 2.699 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.699 * * [simplify]: iters left: 5 (6 enodes) 2.703 * * [simplify]: iters left: 4 (23 enodes) 2.710 * * [simplify]: iters left: 3 (36 enodes) 2.722 * * [simplify]: iters left: 2 (43 enodes) 2.730 * * [simplify]: Extracting #0: cost 1 inf + 0 2.730 * * [simplify]: Extracting #1: cost 3 inf + 0 2.730 * * [simplify]: Extracting #2: cost 6 inf + 0 2.730 * * [simplify]: Extracting #3: cost 9 inf + 1 2.730 * * [simplify]: Extracting #4: cost 10 inf + 44 2.730 * * [simplify]: Extracting #5: cost 6 inf + 336 2.730 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.730 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.731 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.731 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.731 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> 2.731 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 36 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))))> 2.731 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 2.731 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> 2.732 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 2.732 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.732 * * [simplify]: iters left: 5 (6 enodes) 2.733 * * [simplify]: iters left: 4 (23 enodes) 2.738 * * [simplify]: iters left: 3 (36 enodes) 2.744 * * [simplify]: iters left: 2 (43 enodes) 2.749 * * [simplify]: Extracting #0: cost 1 inf + 0 2.749 * * [simplify]: Extracting #1: cost 3 inf + 0 2.749 * * [simplify]: Extracting #2: cost 6 inf + 0 2.749 * * [simplify]: Extracting #3: cost 9 inf + 1 2.749 * * [simplify]: Extracting #4: cost 10 inf + 44 2.749 * * [simplify]: Extracting #5: cost 6 inf + 336 2.749 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.750 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.750 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.750 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 2.750 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 2.750 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.750 * * [simplify]: iters left: 5 (6 enodes) 2.752 * * [simplify]: iters left: 4 (23 enodes) 2.757 * * [simplify]: iters left: 3 (36 enodes) 2.769 * * [simplify]: iters left: 2 (43 enodes) 2.779 * * [simplify]: Extracting #0: cost 1 inf + 0 2.779 * * [simplify]: Extracting #1: cost 3 inf + 0 2.779 * * [simplify]: Extracting #2: cost 6 inf + 0 2.779 * * [simplify]: Extracting #3: cost 9 inf + 1 2.779 * * [simplify]: Extracting #4: cost 10 inf + 44 2.779 * * [simplify]: Extracting #5: cost 6 inf + 336 2.780 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.780 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.781 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.781 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 2.781 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 2.781 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.781 * * [simplify]: iters left: 5 (6 enodes) 2.784 * * [simplify]: iters left: 4 (23 enodes) 2.792 * * [simplify]: iters left: 3 (36 enodes) 2.807 * * [simplify]: iters left: 2 (43 enodes) 2.817 * * [simplify]: Extracting #0: cost 1 inf + 0 2.817 * * [simplify]: Extracting #1: cost 3 inf + 0 2.817 * * [simplify]: Extracting #2: cost 6 inf + 0 2.817 * * [simplify]: Extracting #3: cost 9 inf + 1 2.817 * * [simplify]: Extracting #4: cost 10 inf + 44 2.818 * * [simplify]: Extracting #5: cost 6 inf + 336 2.818 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.818 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.819 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.819 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 2.819 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 2.819 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.819 * * [simplify]: iters left: 5 (6 enodes) 2.823 * * [simplify]: iters left: 4 (23 enodes) 2.830 * * [simplify]: iters left: 3 (36 enodes) 2.842 * * [simplify]: iters left: 2 (43 enodes) 2.852 * * [simplify]: Extracting #0: cost 1 inf + 0 2.852 * * [simplify]: Extracting #1: cost 3 inf + 0 2.852 * * [simplify]: Extracting #2: cost 6 inf + 0 2.852 * * [simplify]: Extracting #3: cost 9 inf + 1 2.852 * * [simplify]: Extracting #4: cost 10 inf + 44 2.853 * * [simplify]: Extracting #5: cost 6 inf + 336 2.853 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.853 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.854 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.854 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.854 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 2.854 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.854 * * [simplify]: iters left: 5 (6 enodes) 2.857 * * [simplify]: iters left: 4 (23 enodes) 2.865 * * [simplify]: iters left: 3 (36 enodes) 2.876 * * [simplify]: iters left: 2 (43 enodes) 2.886 * * [simplify]: Extracting #0: cost 1 inf + 0 2.886 * * [simplify]: Extracting #1: cost 3 inf + 0 2.886 * * [simplify]: Extracting #2: cost 6 inf + 0 2.887 * * [simplify]: Extracting #3: cost 9 inf + 1 2.887 * * [simplify]: Extracting #4: cost 10 inf + 44 2.887 * * [simplify]: Extracting #5: cost 6 inf + 336 2.887 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.888 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.889 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.889 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.889 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 2.889 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 2.889 * * [simplify]: iters left: 5 (6 enodes) 2.892 * * [simplify]: iters left: 4 (23 enodes) 2.900 * * [simplify]: iters left: 3 (36 enodes) 2.912 * * [simplify]: iters left: 2 (43 enodes) 2.922 * * [simplify]: Extracting #0: cost 1 inf + 0 2.922 * * [simplify]: Extracting #1: cost 3 inf + 0 2.923 * * [simplify]: Extracting #2: cost 6 inf + 0 2.923 * * [simplify]: Extracting #3: cost 9 inf + 1 2.923 * * [simplify]: Extracting #4: cost 10 inf + 44 2.923 * * [simplify]: Extracting #5: cost 6 inf + 336 2.923 * * [simplify]: Extracting #6: cost 1 inf + 1225 2.924 * * [simplify]: Extracting #7: cost 0 inf + 1502 2.924 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 2.924 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.924 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.925 * * [simplify]: iters left: 4 (5 enodes) 2.928 * * [simplify]: iters left: 3 (20 enodes) 2.934 * * [simplify]: iters left: 2 (33 enodes) 2.945 * * [simplify]: iters left: 1 (40 enodes) 2.955 * * [simplify]: Extracting #0: cost 1 inf + 0 2.955 * * [simplify]: Extracting #1: cost 4 inf + 0 2.955 * * [simplify]: Extracting #2: cost 7 inf + 1 2.955 * * [simplify]: Extracting #3: cost 3 inf + 768 2.955 * * [simplify]: Extracting #4: cost 1 inf + 907 2.956 * * [simplify]: Extracting #5: cost 0 inf + 948 2.956 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.956 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.956 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 2.957 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.957 * * [simplify]: iters left: 4 (5 enodes) 2.961 * * [simplify]: iters left: 3 (20 enodes) 2.968 * * [simplify]: iters left: 2 (33 enodes) 2.979 * * [simplify]: iters left: 1 (40 enodes) 2.989 * * [simplify]: Extracting #0: cost 1 inf + 0 2.990 * * [simplify]: Extracting #1: cost 4 inf + 0 2.990 * * [simplify]: Extracting #2: cost 7 inf + 1 2.990 * * [simplify]: Extracting #3: cost 3 inf + 768 2.990 * * [simplify]: Extracting #4: cost 1 inf + 907 2.991 * * [simplify]: Extracting #5: cost 0 inf + 948 2.991 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 2.991 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 2.991 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 2.991 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 2.992 * * [simplify]: iters left: 4 (5 enodes) 2.994 * * [simplify]: iters left: 3 (20 enodes) 3.001 * * [simplify]: iters left: 2 (33 enodes) 3.012 * * [simplify]: iters left: 1 (40 enodes) 3.021 * * [simplify]: Extracting #0: cost 1 inf + 0 3.021 * * [simplify]: Extracting #1: cost 4 inf + 0 3.021 * * [simplify]: Extracting #2: cost 7 inf + 1 3.021 * * [simplify]: Extracting #3: cost 3 inf + 768 3.021 * * [simplify]: Extracting #4: cost 1 inf + 907 3.022 * * [simplify]: Extracting #5: cost 0 inf + 948 3.022 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 3.022 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 3.022 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 3.022 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 3.022 * * [simplify]: iters left: 4 (5 enodes) 3.025 * * [simplify]: iters left: 3 (20 enodes) 3.031 * * [simplify]: iters left: 2 (33 enodes) 3.041 * * [simplify]: iters left: 1 (40 enodes) 3.050 * * [simplify]: Extracting #0: cost 1 inf + 0 3.050 * * [simplify]: Extracting #1: cost 4 inf + 0 3.050 * * [simplify]: Extracting #2: cost 7 inf + 1 3.050 * * [simplify]: Extracting #3: cost 3 inf + 768 3.050 * * [simplify]: Extracting #4: cost 1 inf + 907 3.051 * * [simplify]: Extracting #5: cost 0 inf + 948 3.051 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 3.051 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 3.051 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 3.051 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 3.051 * * [simplify]: iters left: 4 (5 enodes) 3.054 * * [simplify]: iters left: 3 (20 enodes) 3.061 * * [simplify]: iters left: 2 (33 enodes) 3.071 * * [simplify]: iters left: 1 (40 enodes) 3.080 * * [simplify]: Extracting #0: cost 1 inf + 0 3.080 * * [simplify]: Extracting #1: cost 4 inf + 0 3.080 * * [simplify]: Extracting #2: cost 7 inf + 1 3.080 * * [simplify]: Extracting #3: cost 3 inf + 768 3.081 * * [simplify]: Extracting #4: cost 1 inf + 907 3.081 * * [simplify]: Extracting #5: cost 0 inf + 948 3.081 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 3.081 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 3.081 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 3.082 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 3.082 * * [simplify]: iters left: 4 (5 enodes) 3.084 * * [simplify]: iters left: 3 (20 enodes) 3.089 * * [simplify]: iters left: 2 (33 enodes) 3.099 * * [simplify]: iters left: 1 (40 enodes) 3.105 * * [simplify]: Extracting #0: cost 1 inf + 0 3.106 * * [simplify]: Extracting #1: cost 4 inf + 0 3.106 * * [simplify]: Extracting #2: cost 7 inf + 1 3.106 * * [simplify]: Extracting #3: cost 3 inf + 768 3.106 * * [simplify]: Extracting #4: cost 1 inf + 907 3.106 * * [simplify]: Extracting #5: cost 0 inf + 948 3.106 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 3.106 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 3.106 * * * [progress]: adding candidates to table 3.751 * * [progress]: iteration 4 / 4 3.752 * * * [progress]: picking best candidate 3.771 * * * * [pick]: Picked # 3.771 * * * [progress]: localizing error 3.802 * * * [progress]: generating rewritten candidates 3.802 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.806 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.806 * * * [progress]: generating series expansions 3.806 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.807 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.807 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.807 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.807 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.807 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.807 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.807 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.807 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.807 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.807 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.807 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.811 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.811 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.811 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.811 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.811 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.811 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.812 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.812 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.812 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.812 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.812 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.819 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.819 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.819 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.819 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.819 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.819 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.819 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.819 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.820 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.820 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.820 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.820 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.826 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.826 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.826 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.826 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.826 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.826 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.826 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.827 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.827 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.827 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.827 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.827 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.832 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.833 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.833 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.833 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.833 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.833 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.833 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.833 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.833 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.834 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.836 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.840 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.840 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.840 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.840 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.840 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.840 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.840 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.840 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.841 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.841 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.841 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.841 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.847 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.847 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.847 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in (N) around 0 3.847 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.847 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.847 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.847 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.847 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma N (+ N 1) 1))) in N 3.847 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.847 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.848 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.848 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ N 1) 1))))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma N (+ N 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.853 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.853 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in (N) around 0 3.853 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.853 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.854 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.854 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N 3.854 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.854 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.854 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.855 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))) 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.860 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.860 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in (N) around 0 3.860 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.860 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.861 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.861 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.861 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) in N 3.861 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.861 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.861 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.862 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.864 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (sqrt (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.868 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.868 * [approximate]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0 3.868 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.868 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.868 * [taylor]: Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N 3.868 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.868 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.869 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.869 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0 3.869 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.869 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.869 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N 3.869 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.869 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.870 * [backup-simplify]: Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.870 * [approximate]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in (N) around 0 3.870 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.870 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.870 * [taylor]: Taking taylor expansion of (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) in N 3.870 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.870 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (atan2 1 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1)) 3.871 * * * [progress]: simplifying candidates 3.871 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 3.871 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 3.871 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))) 3.871 * * [simplify]: iters left: 6 (8 enodes) 3.873 * * [simplify]: iters left: 5 (30 enodes) 3.878 * * [simplify]: iters left: 4 (43 enodes) 3.885 * * [simplify]: iters left: 3 (50 enodes) 3.892 * * [simplify]: Extracting #0: cost 1 inf + 0 3.892 * * [simplify]: Extracting #1: cost 4 inf + 0 3.892 * * [simplify]: Extracting #2: cost 7 inf + 0 3.892 * * [simplify]: Extracting #3: cost 10 inf + 0 3.892 * * [simplify]: Extracting #4: cost 13 inf + 1 3.892 * * [simplify]: Extracting #5: cost 15 inf + 2 3.892 * * [simplify]: Extracting #6: cost 10 inf + 336 3.892 * * [simplify]: Extracting #7: cost 5 inf + 1385 3.893 * * [simplify]: Extracting #8: cost 0 inf + 3010 3.893 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) 3.893 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1))))))) 3.893 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 3.894 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 3.894 * * [simplify]: iters left: 6 (7 enodes) 3.895 * * [simplify]: iters left: 5 (26 enodes) 3.904 * * [simplify]: iters left: 4 (39 enodes) 3.913 * * [simplify]: iters left: 3 (46 enodes) 3.925 * * [simplify]: Extracting #0: cost 1 inf + 0 3.925 * * [simplify]: Extracting #1: cost 3 inf + 0 3.925 * * [simplify]: Extracting #2: cost 5 inf + 0 3.925 * * [simplify]: Extracting #3: cost 8 inf + 0 3.925 * * [simplify]: Extracting #4: cost 11 inf + 1 3.925 * * [simplify]: Extracting #5: cost 9 inf + 294 3.925 * * [simplify]: Extracting #6: cost 5 inf + 947 3.926 * * [simplify]: Extracting #7: cost 1 inf + 1819 3.927 * * [simplify]: Extracting #8: cost 0 inf + 2136 3.927 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 3.927 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))))) 3.927 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 3.928 * [simplify]: Simplifying (sqrt 1) 3.928 * * [simplify]: iters left: 1 (2 enodes) 3.931 * * [simplify]: Extracting #0: cost 1 inf + 0 3.931 * * [simplify]: Extracting #1: cost 0 inf + 1 3.931 * [simplify]: Simplified to 1 3.931 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (* 1 (sqrt (atan2 1 (fma N (+ N 1) 1)))))) 3.931 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 3.931 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 3.931 * * [simplify]: iters left: 4 (5 enodes) 3.934 * * [simplify]: iters left: 3 (20 enodes) 3.941 * * [simplify]: iters left: 2 (33 enodes) 3.952 * * [simplify]: iters left: 1 (40 enodes) 3.962 * * [simplify]: Extracting #0: cost 1 inf + 0 3.962 * * [simplify]: Extracting #1: cost 4 inf + 0 3.962 * * [simplify]: Extracting #2: cost 7 inf + 1 3.962 * * [simplify]: Extracting #3: cost 3 inf + 768 3.963 * * [simplify]: Extracting #4: cost 1 inf + 907 3.963 * * [simplify]: Extracting #5: cost 0 inf + 948 3.964 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 3.964 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (pow (atan2 1 (fma N (+ N 1) 1)) (/ 1 2)))) 3.964 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 3.964 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 3.965 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 3.965 * * [simplify]: iters left: 5 (6 enodes) 3.968 * * [simplify]: iters left: 4 (23 enodes) 3.973 * * [simplify]: iters left: 3 (36 enodes) 3.980 * * [simplify]: iters left: 2 (43 enodes) 3.986 * * [simplify]: Extracting #0: cost 1 inf + 0 3.986 * * [simplify]: Extracting #1: cost 3 inf + 0 3.986 * * [simplify]: Extracting #2: cost 6 inf + 0 3.986 * * [simplify]: Extracting #3: cost 9 inf + 1 3.986 * * [simplify]: Extracting #4: cost 10 inf + 44 3.987 * * [simplify]: Extracting #5: cost 6 inf + 336 3.987 * * [simplify]: Extracting #6: cost 1 inf + 1225 3.987 * * [simplify]: Extracting #7: cost 0 inf + 1502 3.987 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 3.987 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (fabs (sqrt (atan2 1 (+ 1 (fma N N N))))))) 3.987 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 3.987 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))))))> 3.987 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 3.988 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 3.988 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))) 3.988 * * [simplify]: iters left: 6 (8 enodes) 3.990 * * [simplify]: iters left: 5 (30 enodes) 4.000 * * [simplify]: iters left: 4 (43 enodes) 4.014 * * [simplify]: iters left: 3 (50 enodes) 4.026 * * [simplify]: Extracting #0: cost 1 inf + 0 4.027 * * [simplify]: Extracting #1: cost 4 inf + 0 4.027 * * [simplify]: Extracting #2: cost 7 inf + 0 4.027 * * [simplify]: Extracting #3: cost 10 inf + 0 4.027 * * [simplify]: Extracting #4: cost 13 inf + 1 4.027 * * [simplify]: Extracting #5: cost 15 inf + 2 4.027 * * [simplify]: Extracting #6: cost 10 inf + 336 4.027 * * [simplify]: Extracting #7: cost 5 inf + 1385 4.028 * * [simplify]: Extracting #8: cost 0 inf + 3010 4.029 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) 4.029 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1))))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.029 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 4.029 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 4.030 * * [simplify]: iters left: 6 (7 enodes) 4.033 * * [simplify]: iters left: 5 (26 enodes) 4.044 * * [simplify]: iters left: 4 (39 enodes) 4.054 * * [simplify]: iters left: 3 (46 enodes) 4.059 * * [simplify]: Extracting #0: cost 1 inf + 0 4.060 * * [simplify]: Extracting #1: cost 3 inf + 0 4.060 * * [simplify]: Extracting #2: cost 5 inf + 0 4.060 * * [simplify]: Extracting #3: cost 8 inf + 0 4.060 * * [simplify]: Extracting #4: cost 11 inf + 1 4.060 * * [simplify]: Extracting #5: cost 9 inf + 294 4.060 * * [simplify]: Extracting #6: cost 5 inf + 947 4.060 * * [simplify]: Extracting #7: cost 1 inf + 1819 4.061 * * [simplify]: Extracting #8: cost 0 inf + 2136 4.061 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 4.061 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.061 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 4.061 * [simplify]: Simplifying (sqrt 1) 4.061 * * [simplify]: iters left: 1 (2 enodes) 4.063 * * [simplify]: Extracting #0: cost 1 inf + 0 4.063 * * [simplify]: Extracting #1: cost 0 inf + 1 4.063 * [simplify]: Simplified to 1 4.063 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (* 1 (sqrt (atan2 1 (fma N (+ N 1) 1)))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.063 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 4.064 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.064 * * [simplify]: iters left: 4 (5 enodes) 4.065 * * [simplify]: iters left: 3 (20 enodes) 4.068 * * [simplify]: iters left: 2 (33 enodes) 4.074 * * [simplify]: iters left: 1 (40 enodes) 4.079 * * [simplify]: Extracting #0: cost 1 inf + 0 4.080 * * [simplify]: Extracting #1: cost 4 inf + 0 4.080 * * [simplify]: Extracting #2: cost 7 inf + 1 4.080 * * [simplify]: Extracting #3: cost 3 inf + 768 4.080 * * [simplify]: Extracting #4: cost 1 inf + 907 4.080 * * [simplify]: Extracting #5: cost 0 inf + 948 4.080 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.080 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) (/ 1 2)))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.080 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 4.080 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 4.081 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.081 * * [simplify]: iters left: 5 (6 enodes) 4.082 * * [simplify]: iters left: 4 (23 enodes) 4.090 * * [simplify]: iters left: 3 (36 enodes) 4.101 * * [simplify]: iters left: 2 (43 enodes) 4.107 * * [simplify]: Extracting #0: cost 1 inf + 0 4.107 * * [simplify]: Extracting #1: cost 3 inf + 0 4.107 * * [simplify]: Extracting #2: cost 6 inf + 0 4.107 * * [simplify]: Extracting #3: cost 9 inf + 1 4.107 * * [simplify]: Extracting #4: cost 10 inf + 44 4.107 * * [simplify]: Extracting #5: cost 6 inf + 336 4.108 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.108 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.108 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.108 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (fma N N N))))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.108 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1))))))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> 4.108 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 4.108 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 4.109 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1))))) 4.109 * * [simplify]: iters left: 6 (8 enodes) 4.111 * * [simplify]: iters left: 5 (30 enodes) 4.115 * * [simplify]: iters left: 4 (43 enodes) 4.122 * * [simplify]: iters left: 3 (50 enodes) 4.129 * * [simplify]: Extracting #0: cost 1 inf + 0 4.129 * * [simplify]: Extracting #1: cost 4 inf + 0 4.129 * * [simplify]: Extracting #2: cost 7 inf + 0 4.129 * * [simplify]: Extracting #3: cost 10 inf + 0 4.129 * * [simplify]: Extracting #4: cost 13 inf + 1 4.129 * * [simplify]: Extracting #5: cost 15 inf + 2 4.129 * * [simplify]: Extracting #6: cost 10 inf + 336 4.130 * * [simplify]: Extracting #7: cost 5 inf + 1385 4.130 * * [simplify]: Extracting #8: cost 0 inf + 3010 4.130 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) 4.130 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (fma N (+ N 1) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.130 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 4.131 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 4.131 * * [simplify]: iters left: 6 (7 enodes) 4.132 * * [simplify]: iters left: 5 (26 enodes) 4.141 * * [simplify]: iters left: 4 (39 enodes) 4.154 * * [simplify]: iters left: 3 (46 enodes) 4.165 * * [simplify]: Extracting #0: cost 1 inf + 0 4.165 * * [simplify]: Extracting #1: cost 3 inf + 0 4.165 * * [simplify]: Extracting #2: cost 5 inf + 0 4.165 * * [simplify]: Extracting #3: cost 8 inf + 0 4.165 * * [simplify]: Extracting #4: cost 11 inf + 1 4.165 * * [simplify]: Extracting #5: cost 9 inf + 294 4.166 * * [simplify]: Extracting #6: cost 5 inf + 947 4.166 * * [simplify]: Extracting #7: cost 1 inf + 1819 4.167 * * [simplify]: Extracting #8: cost 0 inf + 2136 4.167 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) 4.167 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.167 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 4.168 * [simplify]: Simplifying (sqrt 1) 4.168 * * [simplify]: iters left: 1 (2 enodes) 4.171 * * [simplify]: Extracting #0: cost 1 inf + 0 4.171 * * [simplify]: Extracting #1: cost 0 inf + 1 4.171 * [simplify]: Simplified to 1 4.171 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* 1 (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.171 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 4.172 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.172 * * [simplify]: iters left: 4 (5 enodes) 4.174 * * [simplify]: iters left: 3 (20 enodes) 4.182 * * [simplify]: iters left: 2 (33 enodes) 4.192 * * [simplify]: iters left: 1 (40 enodes) 4.202 * * [simplify]: Extracting #0: cost 1 inf + 0 4.202 * * [simplify]: Extracting #1: cost 4 inf + 0 4.202 * * [simplify]: Extracting #2: cost 7 inf + 1 4.202 * * [simplify]: Extracting #3: cost 3 inf + 768 4.202 * * [simplify]: Extracting #4: cost 1 inf + 907 4.203 * * [simplify]: Extracting #5: cost 0 inf + 948 4.203 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.203 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (pow (atan2 1 (fma N (+ N 1) 1)) (/ 1 2))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.203 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 4.203 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 4.204 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.204 * * [simplify]: iters left: 5 (6 enodes) 4.207 * * [simplify]: iters left: 4 (23 enodes) 4.215 * * [simplify]: iters left: 3 (36 enodes) 4.228 * * [simplify]: iters left: 2 (43 enodes) 4.238 * * [simplify]: Extracting #0: cost 1 inf + 0 4.238 * * [simplify]: Extracting #1: cost 3 inf + 0 4.238 * * [simplify]: Extracting #2: cost 6 inf + 0 4.238 * * [simplify]: Extracting #3: cost 9 inf + 1 4.238 * * [simplify]: Extracting #4: cost 10 inf + 44 4.238 * * [simplify]: Extracting #5: cost 6 inf + 336 4.239 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.239 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.240 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.240 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.240 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 48 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (atan2 1 (fma N (+ N 1) 1)))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))> 4.240 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 4.240 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 4.241 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 4.241 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (atan2 1 (fma N (+ N 1) 1)))))))> 4.241 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 4.241 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.241 * * [simplify]: iters left: 5 (6 enodes) 4.244 * * [simplify]: iters left: 4 (23 enodes) 4.251 * * [simplify]: iters left: 3 (36 enodes) 4.263 * * [simplify]: iters left: 2 (43 enodes) 4.274 * * [simplify]: Extracting #0: cost 1 inf + 0 4.274 * * [simplify]: Extracting #1: cost 3 inf + 0 4.274 * * [simplify]: Extracting #2: cost 6 inf + 0 4.274 * * [simplify]: Extracting #3: cost 9 inf + 1 4.274 * * [simplify]: Extracting #4: cost 10 inf + 44 4.274 * * [simplify]: Extracting #5: cost 6 inf + 336 4.275 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.275 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.276 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.276 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 4.276 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 4.276 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.276 * * [simplify]: iters left: 5 (6 enodes) 4.280 * * [simplify]: iters left: 4 (23 enodes) 4.287 * * [simplify]: iters left: 3 (36 enodes) 4.301 * * [simplify]: iters left: 2 (43 enodes) 4.311 * * [simplify]: Extracting #0: cost 1 inf + 0 4.311 * * [simplify]: Extracting #1: cost 3 inf + 0 4.311 * * [simplify]: Extracting #2: cost 6 inf + 0 4.311 * * [simplify]: Extracting #3: cost 9 inf + 1 4.312 * * [simplify]: Extracting #4: cost 10 inf + 44 4.312 * * [simplify]: Extracting #5: cost 6 inf + 336 4.312 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.313 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.313 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.313 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 4.313 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 4.314 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.314 * * [simplify]: iters left: 5 (6 enodes) 4.317 * * [simplify]: iters left: 4 (23 enodes) 4.324 * * [simplify]: iters left: 3 (36 enodes) 4.336 * * [simplify]: iters left: 2 (43 enodes) 4.345 * * [simplify]: Extracting #0: cost 1 inf + 0 4.345 * * [simplify]: Extracting #1: cost 3 inf + 0 4.346 * * [simplify]: Extracting #2: cost 6 inf + 0 4.346 * * [simplify]: Extracting #3: cost 9 inf + 1 4.346 * * [simplify]: Extracting #4: cost 10 inf + 44 4.346 * * [simplify]: Extracting #5: cost 6 inf + 336 4.346 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.347 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.347 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.347 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) 4.347 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 4.348 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.348 * * [simplify]: iters left: 5 (6 enodes) 4.351 * * [simplify]: iters left: 4 (23 enodes) 4.358 * * [simplify]: iters left: 3 (36 enodes) 4.370 * * [simplify]: iters left: 2 (43 enodes) 4.380 * * [simplify]: Extracting #0: cost 1 inf + 0 4.380 * * [simplify]: Extracting #1: cost 3 inf + 0 4.380 * * [simplify]: Extracting #2: cost 6 inf + 0 4.380 * * [simplify]: Extracting #3: cost 9 inf + 1 4.381 * * [simplify]: Extracting #4: cost 10 inf + 44 4.381 * * [simplify]: Extracting #5: cost 6 inf + 336 4.381 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.382 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.382 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.382 * [simplify]: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.382 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 4.383 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.383 * * [simplify]: iters left: 5 (6 enodes) 4.386 * * [simplify]: iters left: 4 (23 enodes) 4.394 * * [simplify]: iters left: 3 (36 enodes) 4.405 * * [simplify]: iters left: 2 (43 enodes) 4.413 * * [simplify]: Extracting #0: cost 1 inf + 0 4.413 * * [simplify]: Extracting #1: cost 3 inf + 0 4.413 * * [simplify]: Extracting #2: cost 6 inf + 0 4.413 * * [simplify]: Extracting #3: cost 9 inf + 1 4.413 * * [simplify]: Extracting #4: cost 10 inf + 44 4.413 * * [simplify]: Extracting #5: cost 6 inf + 336 4.413 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.414 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.414 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.414 * [simplify]: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.414 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 4.414 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.414 * * [simplify]: iters left: 5 (6 enodes) 4.416 * * [simplify]: iters left: 4 (23 enodes) 4.420 * * [simplify]: iters left: 3 (36 enodes) 4.426 * * [simplify]: iters left: 2 (43 enodes) 4.433 * * [simplify]: Extracting #0: cost 1 inf + 0 4.433 * * [simplify]: Extracting #1: cost 3 inf + 0 4.433 * * [simplify]: Extracting #2: cost 6 inf + 0 4.433 * * [simplify]: Extracting #3: cost 9 inf + 1 4.433 * * [simplify]: Extracting #4: cost 10 inf + 44 4.433 * * [simplify]: Extracting #5: cost 6 inf + 336 4.433 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.434 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.434 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.434 * [simplify]: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.434 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 4.434 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.434 * * [simplify]: iters left: 5 (6 enodes) 4.436 * * [simplify]: iters left: 4 (23 enodes) 4.441 * * [simplify]: iters left: 3 (36 enodes) 4.448 * * [simplify]: iters left: 2 (43 enodes) 4.458 * * [simplify]: Extracting #0: cost 1 inf + 0 4.458 * * [simplify]: Extracting #1: cost 3 inf + 0 4.458 * * [simplify]: Extracting #2: cost 6 inf + 0 4.458 * * [simplify]: Extracting #3: cost 9 inf + 1 4.459 * * [simplify]: Extracting #4: cost 10 inf + 44 4.459 * * [simplify]: Extracting #5: cost 6 inf + 336 4.459 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.460 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.460 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.460 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.460 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 4.461 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.461 * * [simplify]: iters left: 5 (6 enodes) 4.464 * * [simplify]: iters left: 4 (23 enodes) 4.471 * * [simplify]: iters left: 3 (36 enodes) 4.483 * * [simplify]: iters left: 2 (43 enodes) 4.493 * * [simplify]: Extracting #0: cost 1 inf + 0 4.493 * * [simplify]: Extracting #1: cost 3 inf + 0 4.493 * * [simplify]: Extracting #2: cost 6 inf + 0 4.493 * * [simplify]: Extracting #3: cost 9 inf + 1 4.493 * * [simplify]: Extracting #4: cost 10 inf + 44 4.494 * * [simplify]: Extracting #5: cost 6 inf + 336 4.494 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.494 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.495 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.495 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.495 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 4.495 * [simplify]: Simplifying (sqrt (atan2 1 (fma N (+ N 1) 1))) 4.495 * * [simplify]: iters left: 5 (6 enodes) 4.499 * * [simplify]: iters left: 4 (23 enodes) 4.506 * * [simplify]: iters left: 3 (36 enodes) 4.517 * * [simplify]: iters left: 2 (43 enodes) 4.527 * * [simplify]: Extracting #0: cost 1 inf + 0 4.527 * * [simplify]: Extracting #1: cost 3 inf + 0 4.527 * * [simplify]: Extracting #2: cost 6 inf + 0 4.527 * * [simplify]: Extracting #3: cost 9 inf + 1 4.527 * * [simplify]: Extracting #4: cost 10 inf + 44 4.528 * * [simplify]: Extracting #5: cost 6 inf + 336 4.528 * * [simplify]: Extracting #6: cost 1 inf + 1225 4.529 * * [simplify]: Extracting #7: cost 0 inf + 1502 4.529 * [simplify]: Simplified to (sqrt (atan2 1 (+ 1 (fma N N N)))) 4.529 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.529 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 4.529 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.530 * * [simplify]: iters left: 4 (5 enodes) 4.532 * * [simplify]: iters left: 3 (20 enodes) 4.539 * * [simplify]: iters left: 2 (33 enodes) 4.550 * * [simplify]: iters left: 1 (40 enodes) 4.559 * * [simplify]: Extracting #0: cost 1 inf + 0 4.559 * * [simplify]: Extracting #1: cost 4 inf + 0 4.559 * * [simplify]: Extracting #2: cost 7 inf + 1 4.559 * * [simplify]: Extracting #3: cost 3 inf + 768 4.560 * * [simplify]: Extracting #4: cost 1 inf + 907 4.560 * * [simplify]: Extracting #5: cost 0 inf + 948 4.560 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.560 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.561 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 4.561 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.561 * * [simplify]: iters left: 4 (5 enodes) 4.564 * * [simplify]: iters left: 3 (20 enodes) 4.570 * * [simplify]: iters left: 2 (33 enodes) 4.584 * * [simplify]: iters left: 1 (40 enodes) 4.593 * * [simplify]: Extracting #0: cost 1 inf + 0 4.593 * * [simplify]: Extracting #1: cost 4 inf + 0 4.593 * * [simplify]: Extracting #2: cost 7 inf + 1 4.594 * * [simplify]: Extracting #3: cost 3 inf + 768 4.594 * * [simplify]: Extracting #4: cost 1 inf + 907 4.594 * * [simplify]: Extracting #5: cost 0 inf + 948 4.595 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.595 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.595 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 4.595 * [simplify]: Simplifying (atan2 1 (fma N (+ N 1) 1)) 4.595 * * [simplify]: iters left: 4 (5 enodes) 4.598 * * [simplify]: iters left: 3 (20 enodes) 4.604 * * [simplify]: iters left: 2 (33 enodes) 4.615 * * [simplify]: iters left: 1 (40 enodes) 4.626 * * [simplify]: Extracting #0: cost 1 inf + 0 4.626 * * [simplify]: Extracting #1: cost 4 inf + 0 4.626 * * [simplify]: Extracting #2: cost 7 inf + 1 4.626 * * [simplify]: Extracting #3: cost 3 inf + 768 4.626 * * [simplify]: Extracting #4: cost 1 inf + 907 4.627 * * [simplify]: Extracting #5: cost 0 inf + 948 4.627 * [simplify]: Simplified to (atan2 1 (fma N (+ N 1) 1)) 4.627 * [simplify]: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1)))) (sqrt (sqrt (atan2 1 (fma N (+ N 1) 1))))) (sqrt (atan2 1 (fma N (+ N 1) 1))))) 4.628 * * * [progress]: adding candidates to table 5.567 * [progress]: [Phase 3 of 3] Extracting. 5.567 * * [regime]: Finding splitpoints for: (# # # # #) 5.568 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.568 * * * * [regimes]: Trying to branch on N from (# # # # #) 5.597 * * * [regime]: Found split indices: #