0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.043 * * * [progress]: [2/2] Setting up program.
0.045 * [progress]: [Phase 2 of 3] Improving.
0.045 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.045 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.045 * * [simplify]: iters left: 5 (6 enodes)
0.048 * * [simplify]: iters left: 4 (23 enodes)
0.054 * * [simplify]: iters left: 3 (28 enodes)
0.062 * * [simplify]: Extracting #0: cost 1 inf + 0
0.062 * * [simplify]: Extracting #1: cost 5 inf + 0
0.062 * * [simplify]: Extracting #2: cost 10 inf + 0
0.062 * * [simplify]: Extracting #3: cost 11 inf + 1
0.062 * * [simplify]: Extracting #4: cost 6 inf + 298
0.063 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.063 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.063 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.064 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.068 * * [progress]: iteration 1 / 4
0.068 * * * [progress]: picking best candidate
0.072 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.072 * * * [progress]: localizing error
0.094 * * * [progress]: generating rewritten candidates
0.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.103 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.105 * * * [progress]: generating series expansions
0.105 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.105 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.105 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.107 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.107 * [taylor]: Taking taylor expansion of (atan N) in N
0.107 * [backup-simplify]: Simplify (atan N) into (atan N)
0.107 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.107 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.107 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.107 * [taylor]: Taking taylor expansion of (atan N) in N
0.107 * [backup-simplify]: Simplify (atan N) into (atan N)
0.107 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.107 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.107 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- 0) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.112 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.112 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.112 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.113 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.113 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.113 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.113 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.113 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.113 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.113 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.113 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.113 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.113 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (- 0) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.119 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.119 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.119 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.119 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.119 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.119 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.119 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.119 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.119 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.119 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.120 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify 0 into 0
0.123 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.124 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.124 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.124 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.124 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.126 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.126 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.126 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.126 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.126 * * * [progress]: simplifying candidates
0.126 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.127 * [simplify]: Simplifying (- (+ N 1) N)
0.127 * * [simplify]: iters left: 4 (4 enodes)
0.129 * * [simplify]: iters left: 3 (19 enodes)
0.136 * * [simplify]: iters left: 2 (33 enodes)
0.165 * * [simplify]: iters left: 1 (39 enodes)
0.174 * * [simplify]: Extracting #0: cost 1 inf + 0
0.174 * * [simplify]: Extracting #1: cost 0 inf + 1
0.174 * [simplify]: Simplified to 1
0.174 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
0.175 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
0.175 * * [simplify]: iters left: 6 (5 enodes)
0.178 * * [simplify]: iters left: 5 (20 enodes)
0.184 * * [simplify]: iters left: 4 (29 enodes)
0.193 * * [simplify]: iters left: 3 (31 enodes)
0.201 * * [simplify]: iters left: 2 (37 enodes)
0.211 * * [simplify]: iters left: 1 (42 enodes)
0.221 * * [simplify]: Extracting #0: cost 1 inf + 0
0.221 * * [simplify]: Extracting #1: cost 8 inf + 0
0.221 * * [simplify]: Extracting #2: cost 9 inf + 43
0.221 * * [simplify]: Extracting #3: cost 1 inf + 656
0.222 * * [simplify]: Extracting #4: cost 0 inf + 738
0.222 * [simplify]: Simplified to (+ (+ (* N N) N) 1)
0.222 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ (* N N) N) 1)))
0.222 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.222 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
0.223 * * [simplify]: iters left: 6 (8 enodes)
0.227 * * [simplify]: iters left: 5 (29 enodes)
0.236 * * [simplify]: iters left: 4 (35 enodes)
0.245 * * [simplify]: iters left: 3 (40 enodes)
0.257 * * [simplify]: iters left: 2 (44 enodes)
0.269 * * [simplify]: iters left: 1 (48 enodes)
0.283 * * [simplify]: Extracting #0: cost 1 inf + 0
0.283 * * [simplify]: Extracting #1: cost 9 inf + 0
0.283 * * [simplify]: Extracting #2: cost 15 inf + 1
0.283 * * [simplify]: Extracting #3: cost 20 inf + 1
0.283 * * [simplify]: Extracting #4: cost 20 inf + 2
0.283 * * [simplify]: Extracting #5: cost 16 inf + 339
0.284 * * [simplify]: Extracting #6: cost 0 inf + 4059
0.285 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N)))
0.285 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
0.285 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.285 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.285 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.285 * * * * [progress]: [ 6 / 30 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.285 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.285 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.285 * * * * [progress]: [ 9 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
0.285 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.285 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.285 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.286 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.286 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
0.286 * * [simplify]: iters left: 6 (8 enodes)
0.290 * * [simplify]: iters left: 5 (28 enodes)
0.298 * * [simplify]: iters left: 4 (30 enodes)
0.306 * * [simplify]: Extracting #0: cost 1 inf + 0
0.306 * * [simplify]: Extracting #1: cost 4 inf + 0
0.306 * * [simplify]: Extracting #2: cost 8 inf + 0
0.307 * * [simplify]: Extracting #3: cost 12 inf + 0
0.307 * * [simplify]: Extracting #4: cost 10 inf + 359
0.307 * * [simplify]: Extracting #5: cost 8 inf + 506
0.307 * * [simplify]: Extracting #6: cost 5 inf + 737
0.307 * * [simplify]: Extracting #7: cost 1 inf + 1630
0.308 * * [simplify]: Extracting #8: cost 0 inf + 2002
0.308 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
0.308 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
0.309 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
0.309 * * [simplify]: iters left: 6 (8 enodes)
0.313 * * [simplify]: iters left: 5 (29 enodes)
0.325 * * [simplify]: iters left: 4 (34 enodes)
0.334 * * [simplify]: Extracting #0: cost 1 inf + 0
0.334 * * [simplify]: Extracting #1: cost 5 inf + 0
0.334 * * [simplify]: Extracting #2: cost 10 inf + 0
0.334 * * [simplify]: Extracting #3: cost 14 inf + 0
0.334 * * [simplify]: Extracting #4: cost 15 inf + 1
0.334 * * [simplify]: Extracting #5: cost 13 inf + 108
0.335 * * [simplify]: Extracting #6: cost 5 inf + 1109
0.335 * * [simplify]: Extracting #7: cost 0 inf + 2374
0.336 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
0.336 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
0.336 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.336 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.336 * * [simplify]: iters left: 5 (6 enodes)
0.339 * * [simplify]: iters left: 4 (23 enodes)
0.345 * * [simplify]: iters left: 3 (28 enodes)
0.349 * * [simplify]: Extracting #0: cost 1 inf + 0
0.349 * * [simplify]: Extracting #1: cost 5 inf + 0
0.349 * * [simplify]: Extracting #2: cost 10 inf + 0
0.349 * * [simplify]: Extracting #3: cost 11 inf + 1
0.349 * * [simplify]: Extracting #4: cost 6 inf + 298
0.349 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.350 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.350 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.350 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
0.350 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.350 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.350 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.350 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.350 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.350 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.350 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.350 * * [simplify]: iters left: 5 (6 enodes)
0.352 * * [simplify]: iters left: 4 (23 enodes)
0.356 * * [simplify]: iters left: 3 (28 enodes)
0.359 * * [simplify]: Extracting #0: cost 1 inf + 0
0.359 * * [simplify]: Extracting #1: cost 5 inf + 0
0.360 * * [simplify]: Extracting #2: cost 10 inf + 0
0.360 * * [simplify]: Extracting #3: cost 11 inf + 1
0.360 * * [simplify]: Extracting #4: cost 6 inf + 298
0.360 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.360 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.360 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.360 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.360 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.360 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.360 * * [simplify]: iters left: 5 (6 enodes)
0.362 * * [simplify]: iters left: 4 (23 enodes)
0.365 * * [simplify]: iters left: 3 (28 enodes)
0.370 * * [simplify]: Extracting #0: cost 1 inf + 0
0.370 * * [simplify]: Extracting #1: cost 5 inf + 0
0.370 * * [simplify]: Extracting #2: cost 10 inf + 0
0.370 * * [simplify]: Extracting #3: cost 11 inf + 1
0.370 * * [simplify]: Extracting #4: cost 6 inf + 298
0.370 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.370 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.370 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.370 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.370 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.371 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.371 * * [simplify]: iters left: 5 (6 enodes)
0.373 * * [simplify]: iters left: 4 (23 enodes)
0.376 * * [simplify]: iters left: 3 (28 enodes)
0.381 * * [simplify]: Extracting #0: cost 1 inf + 0
0.382 * * [simplify]: Extracting #1: cost 5 inf + 0
0.382 * * [simplify]: Extracting #2: cost 10 inf + 0
0.382 * * [simplify]: Extracting #3: cost 11 inf + 1
0.382 * * [simplify]: Extracting #4: cost 6 inf + 298
0.382 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.383 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.383 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.383 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.383 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.383 * [simplify]: Simplifying (atan (+ N 1))
0.383 * * [simplify]: iters left: 3 (4 enodes)
0.386 * * [simplify]: iters left: 2 (15 enodes)
0.391 * * [simplify]: iters left: 1 (17 enodes)
0.396 * * [simplify]: Extracting #0: cost 1 inf + 0
0.396 * * [simplify]: Extracting #1: cost 3 inf + 0
0.396 * * [simplify]: Extracting #2: cost 6 inf + 0
0.396 * * [simplify]: Extracting #3: cost 2 inf + 86
0.397 * * [simplify]: Extracting #4: cost 1 inf + 233
0.397 * * [simplify]: Extracting #5: cost 0 inf + 380
0.397 * [simplify]: Simplified to (atan (+ 1 N))
0.397 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.397 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.397 * [simplify]: Simplifying (atan (+ N 1))
0.397 * * [simplify]: iters left: 3 (4 enodes)
0.400 * * [simplify]: iters left: 2 (15 enodes)
0.404 * * [simplify]: iters left: 1 (17 enodes)
0.409 * * [simplify]: Extracting #0: cost 1 inf + 0
0.409 * * [simplify]: Extracting #1: cost 3 inf + 0
0.409 * * [simplify]: Extracting #2: cost 6 inf + 0
0.409 * * [simplify]: Extracting #3: cost 2 inf + 86
0.409 * * [simplify]: Extracting #4: cost 1 inf + 233
0.410 * * [simplify]: Extracting #5: cost 0 inf + 380
0.410 * [simplify]: Simplified to (atan (+ 1 N))
0.410 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.410 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.410 * [simplify]: Simplifying (atan (+ N 1))
0.410 * * [simplify]: iters left: 3 (4 enodes)
0.413 * * [simplify]: iters left: 2 (15 enodes)
0.417 * * [simplify]: iters left: 1 (17 enodes)
0.422 * * [simplify]: Extracting #0: cost 1 inf + 0
0.422 * * [simplify]: Extracting #1: cost 3 inf + 0
0.422 * * [simplify]: Extracting #2: cost 6 inf + 0
0.422 * * [simplify]: Extracting #3: cost 2 inf + 86
0.423 * * [simplify]: Extracting #4: cost 1 inf + 233
0.423 * * [simplify]: Extracting #5: cost 0 inf + 380
0.423 * [simplify]: Simplified to (atan (+ 1 N))
0.423 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.423 * * * [progress]: adding candidates to table
0.701 * * [progress]: iteration 2 / 4
0.701 * * * [progress]: picking best candidate
0.702 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
0.702 * * * [progress]: localizing error
0.715 * * * [progress]: generating rewritten candidates
0.715 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.716 * * * [progress]: generating series expansions
0.716 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.717 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.717 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.717 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.717 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.717 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.717 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.717 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.718 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.718 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.718 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.718 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.718 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.719 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.719 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.720 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.720 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.720 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.720 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.720 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.720 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.720 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.721 * * * [progress]: simplifying candidates
0.721 * * * * [progress]: [ 1 / 11 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
0.721 * * * * [progress]: [ 2 / 11 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 3 / 11 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 4 / 11 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 5 / 11 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 6 / 11 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 7 / 11 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
0.721 * * * * [progress]: [ 8 / 11 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.721 * * * * [progress]: [ 9 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.722 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.722 * * [simplify]: iters left: 6 (7 enodes)
0.727 * * [simplify]: iters left: 5 (31 enodes)
0.737 * * [simplify]: iters left: 4 (42 enodes)
0.748 * * [simplify]: iters left: 3 (48 enodes)
0.765 * * [simplify]: iters left: 2 (54 enodes)
0.777 * * [simplify]: Extracting #0: cost 1 inf + 0
0.777 * * [simplify]: Extracting #1: cost 4 inf + 0
0.777 * * [simplify]: Extracting #2: cost 9 inf + 1
0.777 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.778 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.778 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.778 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.778 * * * * [progress]: [ 10 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.779 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.779 * * [simplify]: iters left: 6 (7 enodes)
0.783 * * [simplify]: iters left: 5 (31 enodes)
0.788 * * [simplify]: iters left: 4 (42 enodes)
0.795 * * [simplify]: iters left: 3 (48 enodes)
0.802 * * [simplify]: iters left: 2 (54 enodes)
0.809 * * [simplify]: Extracting #0: cost 1 inf + 0
0.809 * * [simplify]: Extracting #1: cost 4 inf + 0
0.809 * * [simplify]: Extracting #2: cost 9 inf + 1
0.809 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.809 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.809 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.810 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.810 * * * * [progress]: [ 11 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.810 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.810 * * [simplify]: iters left: 6 (7 enodes)
0.813 * * [simplify]: iters left: 5 (31 enodes)
0.823 * * [simplify]: iters left: 4 (42 enodes)
0.835 * * [simplify]: iters left: 3 (48 enodes)
0.841 * * [simplify]: iters left: 2 (54 enodes)
0.848 * * [simplify]: Extracting #0: cost 1 inf + 0
0.848 * * [simplify]: Extracting #1: cost 4 inf + 0
0.848 * * [simplify]: Extracting #2: cost 9 inf + 1
0.848 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.848 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.848 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.848 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.849 * * * [progress]: adding candidates to table
0.923 * * [progress]: iteration 3 / 4
0.923 * * * [progress]: picking best candidate
0.934 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ N (+ (* N N) 1))))>
0.934 * * * [progress]: localizing error
0.960 * * * [progress]: generating rewritten candidates
0.960 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.961 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
0.989 * * * [progress]: generating series expansions
0.989 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.989 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (* N N) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.989 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.989 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.989 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.989 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.989 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.990 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.990 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.990 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.990 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.991 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.991 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.991 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.991 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.992 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.992 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.992 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.992 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.992 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.992 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.993 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.993 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
0.993 * [backup-simplify]: Simplify (+ N (+ (* N N) 1)) into (+ N (+ (pow N 2) 1))
0.993 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0
0.993 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
0.993 * [taylor]: Taking taylor expansion of N in N
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify 1 into 1
0.993 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
0.994 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.994 * [taylor]: Taking taylor expansion of N in N
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 1 into 1
0.994 * [taylor]: Taking taylor expansion of 1 in N
0.994 * [backup-simplify]: Simplify 1 into 1
0.994 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
0.994 * [taylor]: Taking taylor expansion of N in N
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 1 into 1
0.994 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
0.994 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.994 * [taylor]: Taking taylor expansion of N in N
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify 1 into 1
0.994 * [taylor]: Taking taylor expansion of 1 in N
0.994 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (+ 0 1) into 1
0.995 * [backup-simplify]: Simplify (+ 0 1) into 1
0.995 * [backup-simplify]: Simplify 1 into 1
0.996 * [backup-simplify]: Simplify (+ 0 0) into 0
0.996 * [backup-simplify]: Simplify (+ 1 0) into 1
0.996 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (* 1 1) into 1
0.997 * [backup-simplify]: Simplify (+ 1 0) into 1
0.997 * [backup-simplify]: Simplify (+ 0 1) into 1
0.997 * [backup-simplify]: Simplify 1 into 1
0.998 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
0.998 * [backup-simplify]: Simplify (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1)) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))
0.998 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0
0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N
0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.998 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.998 * [taylor]: Taking taylor expansion of N in N
0.998 * [backup-simplify]: Simplify 0 into 0
0.998 * [backup-simplify]: Simplify 1 into 1
0.998 * [backup-simplify]: Simplify (* 1 1) into 1
0.999 * [backup-simplify]: Simplify (/ 1 1) into 1
0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.999 * [taylor]: Taking taylor expansion of N in N
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 1 into 1
0.999 * [backup-simplify]: Simplify (/ 1 1) into 1
0.999 * [taylor]: Taking taylor expansion of 1 in N
0.999 * [backup-simplify]: Simplify 1 into 1
0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N
0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
0.999 * [taylor]: Taking taylor expansion of (pow N 2) in N
0.999 * [taylor]: Taking taylor expansion of N in N
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 1 into 1
1.000 * [backup-simplify]: Simplify (* 1 1) into 1
1.000 * [backup-simplify]: Simplify (/ 1 1) into 1
1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
1.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.000 * [taylor]: Taking taylor expansion of N in N
1.000 * [backup-simplify]: Simplify 0 into 0
1.000 * [backup-simplify]: Simplify 1 into 1
1.001 * [backup-simplify]: Simplify (/ 1 1) into 1
1.001 * [taylor]: Taking taylor expansion of 1 in N
1.001 * [backup-simplify]: Simplify 1 into 1
1.001 * [backup-simplify]: Simplify (+ 1 0) into 1
1.001 * [backup-simplify]: Simplify 1 into 1
1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.003 * [backup-simplify]: Simplify (+ 1 0) into 1
1.004 * [backup-simplify]: Simplify (+ 0 1) into 1
1.004 * [backup-simplify]: Simplify 1 into 1
1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.007 * [backup-simplify]: Simplify (+ 0 1) into 1
1.007 * [backup-simplify]: Simplify (+ 0 1) into 1
1.007 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
1.008 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))
1.008 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0
1.008 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N
1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.008 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.008 * [taylor]: Taking taylor expansion of N in N
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 1 into 1
1.009 * [backup-simplify]: Simplify (* 1 1) into 1
1.009 * [backup-simplify]: Simplify (/ 1 1) into 1
1.009 * [taylor]: Taking taylor expansion of 1 in N
1.009 * [backup-simplify]: Simplify 1 into 1
1.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.009 * [taylor]: Taking taylor expansion of N in N
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 1 into 1
1.009 * [backup-simplify]: Simplify (/ 1 1) into 1
1.010 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N
1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
1.010 * [taylor]: Taking taylor expansion of (pow N 2) in N
1.010 * [taylor]: Taking taylor expansion of N in N
1.010 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify 1 into 1
1.010 * [backup-simplify]: Simplify (* 1 1) into 1
1.011 * [backup-simplify]: Simplify (/ 1 1) into 1
1.011 * [taylor]: Taking taylor expansion of 1 in N
1.011 * [backup-simplify]: Simplify 1 into 1
1.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.011 * [taylor]: Taking taylor expansion of N in N
1.011 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify 1 into 1
1.011 * [backup-simplify]: Simplify (/ 1 1) into 1
1.012 * [backup-simplify]: Simplify (+ 1 0) into 1
1.012 * [backup-simplify]: Simplify (+ 1 0) into 1
1.012 * [backup-simplify]: Simplify 1 into 1
1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (+ 0 0) into 0
1.014 * [backup-simplify]: Simplify (- 1) into -1
1.015 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.015 * [backup-simplify]: Simplify -1 into -1
1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.017 * [backup-simplify]: Simplify (+ 0 1) into 1
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (- 0) into 0
1.019 * [backup-simplify]: Simplify (+ 1 0) into 1
1.019 * [backup-simplify]: Simplify 1 into 1
1.019 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
1.019 * * * [progress]: simplifying candidates
1.020 * * * * [progress]: [ 1 / 29 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ N (+ (* N N) 1))) 1))>
1.020 * * * * [progress]: [ 2 / 29 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 3 / 29 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 4 / 29 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 5 / 29 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1)))) (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 6 / 29 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 7 / 29 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ N (+ (* N N) 1)))))>
1.020 * * * * [progress]: [ 8 / 29 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ N (+ (* N N) 1))))))>
1.020 * * * * [progress]: [ 9 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp N) (* (exp (* N N)) (exp 1))))))>
1.020 * [simplify]: Simplifying (* (exp N) (* (exp (* N N)) (exp 1)))
1.021 * * [simplify]: iters left: 6 (8 enodes)
1.025 * * [simplify]: iters left: 5 (32 enodes)
1.036 * * [simplify]: iters left: 4 (55 enodes)
1.054 * * [simplify]: iters left: 3 (98 enodes)
1.086 * * [simplify]: iters left: 2 (180 enodes)
1.132 * * [simplify]: iters left: 1 (409 enodes)
1.344 * * [simplify]: Extracting #0: cost 1 inf + 0
1.345 * * [simplify]: Extracting #1: cost 75 inf + 0
1.346 * * [simplify]: Extracting #2: cost 273 inf + 1
1.353 * * [simplify]: Extracting #3: cost 289 inf + 1424
1.356 * * [simplify]: Extracting #4: cost 255 inf + 7426
1.370 * * [simplify]: Extracting #5: cost 108 inf + 73914
1.399 * * [simplify]: Extracting #6: cost 8 inf + 141085
1.432 * * [simplify]: Extracting #7: cost 0 inf + 146138
1.464 * [simplify]: Simplified to (exp (+ 1 (+ N (* N N))))
1.464 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (log (exp (+ 1 (+ N (* N N)))))))
1.464 * * * * [progress]: [ 10 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp N) (exp (+ (* N N) 1))))))>
1.465 * [simplify]: Simplifying (* (exp N) (exp (+ (* N N) 1)))
1.465 * * [simplify]: iters left: 6 (7 enodes)
1.469 * * [simplify]: iters left: 5 (30 enodes)
1.479 * * [simplify]: iters left: 4 (49 enodes)
1.493 * * [simplify]: iters left: 3 (76 enodes)
1.517 * * [simplify]: iters left: 2 (108 enodes)
1.553 * * [simplify]: iters left: 1 (190 enodes)
1.615 * * [simplify]: Extracting #0: cost 1 inf + 0
1.615 * * [simplify]: Extracting #1: cost 31 inf + 0
1.616 * * [simplify]: Extracting #2: cost 101 inf + 1
1.616 * * [simplify]: Extracting #3: cost 109 inf + 1462
1.617 * * [simplify]: Extracting #4: cost 97 inf + 2211
1.618 * * [simplify]: Extracting #5: cost 80 inf + 3885
1.621 * * [simplify]: Extracting #6: cost 27 inf + 25109
1.627 * * [simplify]: Extracting #7: cost 1 inf + 38218
1.635 * * [simplify]: Extracting #8: cost 0 inf + 38669
1.644 * [simplify]: Simplified to (exp (+ 1 (+ N (* N N))))
1.644 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (log (exp (+ 1 (+ N (* N N)))))))
1.644 * * * * [progress]: [ 11 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ N (+ (* N N) 1)) 1)))>
1.645 * * * * [progress]: [ 12 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ N (+ (* N N) 1))))))>
1.645 * * * * [progress]: [ 13 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ N (+ (* N N) 1))))))>
1.645 * * * * [progress]: [ 14 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ N (+ (* N N) 1))) (cbrt (+ N (+ (* N N) 1)))) (cbrt (+ N (+ (* N N) 1))))))>
1.645 * * * * [progress]: [ 15 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ N (+ (* N N) 1)) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1))))))>
1.645 * * * * [progress]: [ 16 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ N (+ (* N N) 1))) (sqrt (+ N (+ (* N N) 1))))))>
1.645 * * * * [progress]: [ 17 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow N 3) (pow (+ (* N N) 1) 3)) (+ (* N N) (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N (+ (* N N) 1)))))))>
1.645 * * * * [progress]: [ 18 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ N (+ (* N N) 1)))))>
1.645 * * * * [progress]: [ 19 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* N N) (* (+ (* N N) 1) (+ (* N N) 1))) (- N (+ (* N N) 1)))))>
1.645 * * * * [progress]: [ 20 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ N (+ (* N N) 1)))))>
1.645 * [simplify]: Simplifying (+ N (+ (* N N) 1))
1.646 * * [simplify]: iters left: 6 (5 enodes)
1.649 * * [simplify]: iters left: 5 (21 enodes)
1.655 * * [simplify]: iters left: 4 (32 enodes)
1.662 * * [simplify]: iters left: 3 (38 enodes)
1.667 * * [simplify]: iters left: 2 (44 enodes)
1.673 * * [simplify]: Extracting #0: cost 1 inf + 0
1.673 * * [simplify]: Extracting #1: cost 8 inf + 0
1.673 * * [simplify]: Extracting #2: cost 10 inf + 2
1.673 * * [simplify]: Extracting #3: cost 1 inf + 696
1.673 * * [simplify]: Extracting #4: cost 0 inf + 738
1.673 * [simplify]: Simplified to (+ (+ (* N N) 1) N)
1.673 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* 1 (+ (+ (* N N) 1) N))))
1.673 * * * * [progress]: [ 21 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ N (* N N)) 1)))>
1.673 * * * * [progress]: [ 22 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ N (+ (* N N) 1))))))>
1.673 * * * * [progress]: [ 23 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ (* N N) 1) N)))>
1.673 * * * * [progress]: [ 24 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.674 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.674 * * [simplify]: iters left: 6 (7 enodes)
1.676 * * [simplify]: iters left: 5 (31 enodes)
1.681 * * [simplify]: iters left: 4 (42 enodes)
1.691 * * [simplify]: iters left: 3 (48 enodes)
1.703 * * [simplify]: iters left: 2 (54 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 9 inf + 1
1.714 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.714 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.715 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.715 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.715 * * * * [progress]: [ 25 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.715 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.715 * * [simplify]: iters left: 6 (7 enodes)
1.717 * * [simplify]: iters left: 5 (31 enodes)
1.724 * * [simplify]: iters left: 4 (42 enodes)
1.730 * * [simplify]: iters left: 3 (48 enodes)
1.736 * * [simplify]: iters left: 2 (54 enodes)
1.742 * * [simplify]: Extracting #0: cost 1 inf + 0
1.743 * * [simplify]: Extracting #1: cost 4 inf + 0
1.743 * * [simplify]: Extracting #2: cost 9 inf + 1
1.743 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.743 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.744 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.744 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.744 * * * * [progress]: [ 26 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.744 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.744 * * [simplify]: iters left: 6 (7 enodes)
1.749 * * [simplify]: iters left: 5 (31 enodes)
1.759 * * [simplify]: iters left: 4 (42 enodes)
1.770 * * [simplify]: iters left: 3 (48 enodes)
1.781 * * [simplify]: iters left: 2 (54 enodes)
1.789 * * [simplify]: Extracting #0: cost 1 inf + 0
1.789 * * [simplify]: Extracting #1: cost 4 inf + 0
1.789 * * [simplify]: Extracting #2: cost 9 inf + 1
1.789 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.789 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.789 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.789 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.790 * * * * [progress]: [ 27 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.790 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
1.790 * * [simplify]: iters left: 5 (6 enodes)
1.792 * * [simplify]: iters left: 4 (28 enodes)
1.797 * * [simplify]: iters left: 3 (39 enodes)
1.804 * * [simplify]: iters left: 2 (45 enodes)
1.812 * * [simplify]: iters left: 1 (51 enodes)
1.825 * * [simplify]: Extracting #0: cost 1 inf + 0
1.825 * * [simplify]: Extracting #1: cost 8 inf + 0
1.825 * * [simplify]: Extracting #2: cost 11 inf + 2
1.825 * * [simplify]: Extracting #3: cost 1 inf + 697
1.826 * * [simplify]: Extracting #4: cost 0 inf + 739
1.826 * [simplify]: Simplified to (+ N (+ 1 (* N N)))
1.826 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
1.826 * * * * [progress]: [ 28 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.826 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
1.827 * * [simplify]: iters left: 5 (6 enodes)
1.831 * * [simplify]: iters left: 4 (28 enodes)
1.842 * * [simplify]: iters left: 3 (39 enodes)
1.853 * * [simplify]: iters left: 2 (45 enodes)
1.865 * * [simplify]: iters left: 1 (51 enodes)
1.878 * * [simplify]: Extracting #0: cost 1 inf + 0
1.878 * * [simplify]: Extracting #1: cost 8 inf + 0
1.878 * * [simplify]: Extracting #2: cost 11 inf + 2
1.878 * * [simplify]: Extracting #3: cost 1 inf + 697
1.879 * * [simplify]: Extracting #4: cost 0 inf + 739
1.879 * [simplify]: Simplified to (+ N (+ 1 (* N N)))
1.879 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
1.879 * * * * [progress]: [ 29 / 29 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.880 * [simplify]: Simplifying (+ N (+ (pow N 2) 1))
1.880 * * [simplify]: iters left: 5 (6 enodes)
1.884 * * [simplify]: iters left: 4 (28 enodes)
1.893 * * [simplify]: iters left: 3 (39 enodes)
1.904 * * [simplify]: iters left: 2 (45 enodes)
1.916 * * [simplify]: iters left: 1 (51 enodes)
1.928 * * [simplify]: Extracting #0: cost 1 inf + 0
1.929 * * [simplify]: Extracting #1: cost 8 inf + 0
1.929 * * [simplify]: Extracting #2: cost 11 inf + 2
1.929 * * [simplify]: Extracting #3: cost 1 inf + 697
1.929 * * [simplify]: Extracting #4: cost 0 inf + 739
1.930 * [simplify]: Simplified to (+ N (+ 1 (* N N)))
1.930 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
1.930 * * * [progress]: adding candidates to table
2.134 * * [progress]: iteration 4 / 4
2.134 * * * [progress]: picking best candidate
2.142 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.142 * * * [progress]: localizing error
2.176 * * * [progress]: generating rewritten candidates
2.176 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
2.178 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
2.179 * * * [progress]: generating series expansions
2.179 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (* N N) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.179 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
2.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
2.179 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.179 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.179 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.179 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
2.179 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.180 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.180 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.180 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.182 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.184 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
2.184 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
2.184 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.184 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.184 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.185 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
2.185 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.185 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.185 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.185 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.185 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.188 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.189 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
2.189 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
2.189 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.189 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.189 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
2.189 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.189 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.189 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.190 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.191 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.193 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.193 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (* N N) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.193 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
2.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
2.194 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.194 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.194 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.194 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
2.194 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.194 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.194 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.194 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.194 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.196 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.198 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.198 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
2.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
2.198 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.198 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.198 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.198 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
2.198 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.198 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.198 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.199 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
2.199 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.200 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.201 * [backup-simplify]: Simplify 0 into 0
2.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.202 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.203 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.205 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.205 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
2.205 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
2.205 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.205 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.205 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.206 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
2.206 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.206 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.206 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.207 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
2.207 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.208 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.215 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.216 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.218 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
2.218 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (* N N) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.218 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.218 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.218 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.218 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.218 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.218 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.219 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.219 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.219 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.219 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.219 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.220 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.220 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.221 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.221 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.221 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.221 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.221 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.221 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.221 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [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 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
2.222 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (* N N) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.222 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
2.222 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.222 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.222 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
2.223 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.223 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 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 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.223 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (+ (* (/ 1 N) (/ 1 N)) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.223 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
2.223 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.224 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.224 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
2.224 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
2.224 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 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
2.225 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.225 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (* (/ 1 (- N)) (/ 1 (- N))) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.225 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
2.225 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.225 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.226 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
2.226 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.226 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
2.226 * * * [progress]: simplifying candidates
2.227 * * * * [progress]: [ 1 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (pow (atan2 1 (+ N (+ (* N N) 1))) 1/2)))>
2.227 * * * * [progress]: [ 2 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (pow (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 1)))>
2.227 * * * * [progress]: [ 3 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (exp (log (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.227 * * * * [progress]: [ 4 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (log (exp (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.227 * * * * [progress]: [ 5 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (* (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.227 * * * * [progress]: [ 6 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (* (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.227 * * * * [progress]: [ 7 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (cbrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.227 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))))
2.227 * * [simplify]: iters left: 6 (9 enodes)
2.232 * * [simplify]: iters left: 5 (34 enodes)
2.242 * * [simplify]: iters left: 4 (45 enodes)
2.255 * * [simplify]: iters left: 3 (51 enodes)
2.264 * * [simplify]: iters left: 2 (57 enodes)
2.271 * * [simplify]: Extracting #0: cost 1 inf + 0
2.271 * * [simplify]: Extracting #1: cost 4 inf + 0
2.271 * * [simplify]: Extracting #2: cost 7 inf + 0
2.271 * * [simplify]: Extracting #3: cost 10 inf + 0
2.271 * * [simplify]: Extracting #4: cost 15 inf + 1
2.271 * * [simplify]: Extracting #5: cost 17 inf + 44
2.271 * * [simplify]: Extracting #6: cost 7 inf + 1180
2.272 * * [simplify]: Extracting #7: cost 0 inf + 3474
2.272 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
2.272 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ N (+ (* N N) 1))))))))
2.272 * * * * [progress]: [ 8 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.273 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))
2.273 * * [simplify]: iters left: 6 (8 enodes)
2.275 * * [simplify]: iters left: 5 (30 enodes)
2.279 * * [simplify]: iters left: 4 (41 enodes)
2.285 * * [simplify]: iters left: 3 (47 enodes)
2.296 * * [simplify]: iters left: 2 (53 enodes)
2.310 * * [simplify]: Extracting #0: cost 1 inf + 0
2.310 * * [simplify]: Extracting #1: cost 3 inf + 0
2.310 * * [simplify]: Extracting #2: cost 5 inf + 0
2.310 * * [simplify]: Extracting #3: cost 8 inf + 0
2.310 * * [simplify]: Extracting #4: cost 13 inf + 1
2.310 * * [simplify]: Extracting #5: cost 15 inf + 44
2.310 * * [simplify]: Extracting #6: cost 6 inf + 918
2.311 * * [simplify]: Extracting #7: cost 0 inf + 2550
2.312 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
2.312 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))
2.312 * * * * [progress]: [ 9 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt 1) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))>
2.312 * [simplify]: Simplifying (sqrt 1)
2.313 * * [simplify]: iters left: 1 (2 enodes)
2.316 * * [simplify]: Extracting #0: cost 1 inf + 0
2.316 * * [simplify]: Extracting #1: cost 0 inf + 1
2.316 * [simplify]: Simplified to 1
2.316 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* 1 (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
2.316 * * * * [progress]: [ 10 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (pow (atan2 1 (+ N (+ (* N N) 1))) (/ 1 2))))>
2.316 * [simplify]: Simplifying (atan2 1 (+ N (+ (* N N) 1)))
2.316 * * [simplify]: iters left: 6 (6 enodes)
2.319 * * [simplify]: iters left: 5 (24 enodes)
2.327 * * [simplify]: iters left: 4 (35 enodes)
2.338 * * [simplify]: iters left: 3 (41 enodes)
2.354 * * [simplify]: iters left: 2 (47 enodes)
2.365 * * [simplify]: Extracting #0: cost 1 inf + 0
2.366 * * [simplify]: Extracting #1: cost 4 inf + 0
2.366 * * [simplify]: Extracting #2: cost 9 inf + 1
2.366 * * [simplify]: Extracting #3: cost 9 inf + 167
2.366 * * [simplify]: Extracting #4: cost 2 inf + 918
2.367 * * [simplify]: Extracting #5: cost 0 inf + 1262
2.367 * [simplify]: Simplified to (atan2 1 (+ 1 (* N (+ N 1))))
2.367 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (pow (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 2))))
2.367 * * * * [progress]: [ 11 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.368 * * * * [progress]: [ 12 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (fabs (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))>
2.368 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.368 * * [simplify]: iters left: 6 (7 enodes)
2.372 * * [simplify]: iters left: 5 (27 enodes)
2.380 * * [simplify]: iters left: 4 (38 enodes)
2.392 * * [simplify]: iters left: 3 (44 enodes)
2.406 * * [simplify]: iters left: 2 (50 enodes)
2.418 * * [simplify]: Extracting #0: cost 1 inf + 0
2.418 * * [simplify]: Extracting #1: cost 3 inf + 0
2.418 * * [simplify]: Extracting #2: cost 6 inf + 0
2.418 * * [simplify]: Extracting #3: cost 11 inf + 1
2.419 * * [simplify]: Extracting #4: cost 10 inf + 248
2.419 * * [simplify]: Extracting #5: cost 4 inf + 878
2.420 * * [simplify]: Extracting #6: cost 1 inf + 1564
2.420 * * [simplify]: Extracting #7: cost 0 inf + 1866
2.421 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ 1 (* N N)))))
2.421 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (fabs (sqrt (atan2 1 (+ N (+ 1 (* N N))))))))
2.421 * * * * [progress]: [ 13 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (* 1 (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))>
2.421 * * * * [progress]: [ 14 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.421 * * * * [progress]: [ 15 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ N (+ (* N N) 1))) 1/2) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.421 * * * * [progress]: [ 16 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ N (+ (* N N) 1)))) 1) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.421 * * * * [progress]: [ 17 / 56 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.421 * * * * [progress]: [ 18 / 56 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.421 * * * * [progress]: [ 19 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.422 * * * * [progress]: [ 20 / 56 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.422 * * * * [progress]: [ 21 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.422 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))))
2.422 * * [simplify]: iters left: 6 (9 enodes)
2.426 * * [simplify]: iters left: 5 (34 enodes)
2.437 * * [simplify]: iters left: 4 (45 enodes)
2.449 * * [simplify]: iters left: 3 (51 enodes)
2.463 * * [simplify]: iters left: 2 (57 enodes)
2.477 * * [simplify]: Extracting #0: cost 1 inf + 0
2.477 * * [simplify]: Extracting #1: cost 4 inf + 0
2.477 * * [simplify]: Extracting #2: cost 7 inf + 0
2.477 * * [simplify]: Extracting #3: cost 10 inf + 0
2.477 * * [simplify]: Extracting #4: cost 15 inf + 1
2.477 * * [simplify]: Extracting #5: cost 17 inf + 44
2.477 * * [simplify]: Extracting #6: cost 7 inf + 1180
2.478 * * [simplify]: Extracting #7: cost 0 inf + 3474
2.479 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
2.479 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.480 * * * * [progress]: [ 22 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.480 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))
2.480 * * [simplify]: iters left: 6 (8 enodes)
2.484 * * [simplify]: iters left: 5 (30 enodes)
2.493 * * [simplify]: iters left: 4 (41 enodes)
2.506 * * [simplify]: iters left: 3 (47 enodes)
2.517 * * [simplify]: iters left: 2 (53 enodes)
2.526 * * [simplify]: Extracting #0: cost 1 inf + 0
2.526 * * [simplify]: Extracting #1: cost 3 inf + 0
2.526 * * [simplify]: Extracting #2: cost 5 inf + 0
2.526 * * [simplify]: Extracting #3: cost 8 inf + 0
2.526 * * [simplify]: Extracting #4: cost 13 inf + 1
2.526 * * [simplify]: Extracting #5: cost 15 inf + 44
2.526 * * [simplify]: Extracting #6: cost 6 inf + 918
2.527 * * [simplify]: Extracting #7: cost 0 inf + 2550
2.527 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
2.527 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.527 * * * * [progress]: [ 23 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.528 * [simplify]: Simplifying (sqrt 1)
2.528 * * [simplify]: iters left: 1 (2 enodes)
2.530 * * [simplify]: Extracting #0: cost 1 inf + 0
2.530 * * [simplify]: Extracting #1: cost 0 inf + 1
2.530 * [simplify]: Simplified to 1
2.530 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.530 * * * * [progress]: [ 24 / 56 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ N (+ (* N N) 1))) (/ 1 2)) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.530 * [simplify]: Simplifying (atan2 1 (+ N (+ (* N N) 1)))
2.530 * * [simplify]: iters left: 6 (6 enodes)
2.532 * * [simplify]: iters left: 5 (24 enodes)
2.536 * * [simplify]: iters left: 4 (35 enodes)
2.542 * * [simplify]: iters left: 3 (41 enodes)
2.554 * * [simplify]: iters left: 2 (47 enodes)
2.565 * * [simplify]: Extracting #0: cost 1 inf + 0
2.566 * * [simplify]: Extracting #1: cost 4 inf + 0
2.566 * * [simplify]: Extracting #2: cost 9 inf + 1
2.566 * * [simplify]: Extracting #3: cost 9 inf + 167
2.566 * * [simplify]: Extracting #4: cost 2 inf + 918
2.567 * * [simplify]: Extracting #5: cost 0 inf + 1262
2.567 * [simplify]: Simplified to (atan2 1 (+ 1 (* N (+ N 1))))
2.567 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 2)) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.567 * * * * [progress]: [ 25 / 56 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.567 * * * * [progress]: [ 26 / 56 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.568 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.568 * * [simplify]: iters left: 6 (7 enodes)
2.572 * * [simplify]: iters left: 5 (27 enodes)
2.581 * * [simplify]: iters left: 4 (38 enodes)
2.592 * * [simplify]: iters left: 3 (44 enodes)
2.605 * * [simplify]: iters left: 2 (50 enodes)
2.619 * * [simplify]: Extracting #0: cost 1 inf + 0
2.619 * * [simplify]: Extracting #1: cost 3 inf + 0
2.619 * * [simplify]: Extracting #2: cost 6 inf + 0
2.620 * * [simplify]: Extracting #3: cost 11 inf + 1
2.620 * * [simplify]: Extracting #4: cost 10 inf + 248
2.620 * * [simplify]: Extracting #5: cost 4 inf + 878
2.621 * * [simplify]: Extracting #6: cost 1 inf + 1564
2.621 * * [simplify]: Extracting #7: cost 0 inf + 1866
2.622 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ 1 (* N N)))))
2.622 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ N (+ 1 (* N N)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.622 * * * * [progress]: [ 27 / 56 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.622 * * * * [progress]: [ 28 / 56 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.622 * * * * [progress]: [ 29 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (pow (atan2 1 (+ N (+ (* N N) 1))) 1))))>
2.622 * * * * [progress]: [ 30 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (exp (log (atan2 1 (+ N (+ (* N N) 1))))))))>
2.622 * * * * [progress]: [ 31 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (log (exp (atan2 1 (+ N (+ (* N N) 1))))))))>
2.623 * * * * [progress]: [ 32 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.623 * * * * [progress]: [ 33 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (cbrt (* (* (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1)))) (atan2 1 (+ N (+ (* N N) 1))))))))>
2.623 * * * * [progress]: [ 34 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))>
2.623 * * * * [progress]: [ 35 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (* 1 (atan2 1 (+ N (+ (* N N) 1)))))))>
2.623 * * * * [progress]: [ 36 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ N (+ (* N N) 1))))))))>
2.623 * * * * [progress]: [ 37 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (atan2 1 (+ N (+ (* N N) 1))) 1)) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 38 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (exp (log (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 39 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (exp (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 40 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 41 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (cbrt (* (* (atan2 1 (+ N (+ (* N N) 1))) (atan2 1 (+ N (+ (* N N) 1)))) (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 42 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 43 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* 1 (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 44 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (posit16->real (real->posit16 (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.623 * * * * [progress]: [ 45 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.624 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.624 * * [simplify]: iters left: 6 (8 enodes)
2.629 * * [simplify]: iters left: 5 (34 enodes)
2.642 * * [simplify]: iters left: 4 (45 enodes)
2.648 * * [simplify]: iters left: 3 (51 enodes)
2.655 * * [simplify]: iters left: 2 (57 enodes)
2.662 * * [simplify]: Extracting #0: cost 1 inf + 0
2.662 * * [simplify]: Extracting #1: cost 3 inf + 0
2.662 * * [simplify]: Extracting #2: cost 6 inf + 0
2.662 * * [simplify]: Extracting #3: cost 11 inf + 1
2.662 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.662 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.663 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.663 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.663 * * * * [progress]: [ 46 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.663 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.663 * * [simplify]: iters left: 6 (8 enodes)
2.666 * * [simplify]: iters left: 5 (34 enodes)
2.671 * * [simplify]: iters left: 4 (45 enodes)
2.683 * * [simplify]: iters left: 3 (51 enodes)
2.691 * * [simplify]: iters left: 2 (57 enodes)
2.699 * * [simplify]: Extracting #0: cost 1 inf + 0
2.699 * * [simplify]: Extracting #1: cost 3 inf + 0
2.699 * * [simplify]: Extracting #2: cost 6 inf + 0
2.699 * * [simplify]: Extracting #3: cost 11 inf + 1
2.699 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.699 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.700 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.700 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.700 * * * * [progress]: [ 47 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.700 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.700 * * [simplify]: iters left: 6 (8 enodes)
2.703 * * [simplify]: iters left: 5 (34 enodes)
2.708 * * [simplify]: iters left: 4 (45 enodes)
2.715 * * [simplify]: iters left: 3 (51 enodes)
2.728 * * [simplify]: iters left: 2 (57 enodes)
2.746 * * [simplify]: Extracting #0: cost 1 inf + 0
2.746 * * [simplify]: Extracting #1: cost 3 inf + 0
2.746 * * [simplify]: Extracting #2: cost 6 inf + 0
2.746 * * [simplify]: Extracting #3: cost 11 inf + 1
2.747 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.747 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.748 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.748 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.748 * * * * [progress]: [ 48 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.748 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.748 * * [simplify]: iters left: 6 (8 enodes)
2.753 * * [simplify]: iters left: 5 (34 enodes)
2.764 * * [simplify]: iters left: 4 (45 enodes)
2.772 * * [simplify]: iters left: 3 (51 enodes)
2.778 * * [simplify]: iters left: 2 (57 enodes)
2.785 * * [simplify]: Extracting #0: cost 1 inf + 0
2.785 * * [simplify]: Extracting #1: cost 3 inf + 0
2.785 * * [simplify]: Extracting #2: cost 6 inf + 0
2.785 * * [simplify]: Extracting #3: cost 11 inf + 1
2.785 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.785 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.786 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.786 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.786 * * * * [progress]: [ 49 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.786 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.786 * * [simplify]: iters left: 6 (8 enodes)
2.790 * * [simplify]: iters left: 5 (34 enodes)
2.800 * * [simplify]: iters left: 4 (45 enodes)
2.813 * * [simplify]: iters left: 3 (51 enodes)
2.826 * * [simplify]: iters left: 2 (57 enodes)
2.840 * * [simplify]: Extracting #0: cost 1 inf + 0
2.840 * * [simplify]: Extracting #1: cost 3 inf + 0
2.840 * * [simplify]: Extracting #2: cost 6 inf + 0
2.840 * * [simplify]: Extracting #3: cost 11 inf + 1
2.841 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.841 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.842 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.842 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.842 * * * * [progress]: [ 50 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
2.842 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.843 * * [simplify]: iters left: 6 (8 enodes)
2.847 * * [simplify]: iters left: 5 (34 enodes)
2.858 * * [simplify]: iters left: 4 (45 enodes)
2.870 * * [simplify]: iters left: 3 (51 enodes)
2.885 * * [simplify]: iters left: 2 (57 enodes)
2.893 * * [simplify]: Extracting #0: cost 1 inf + 0
2.893 * * [simplify]: Extracting #1: cost 3 inf + 0
2.893 * * [simplify]: Extracting #2: cost 6 inf + 0
2.893 * * [simplify]: Extracting #3: cost 11 inf + 1
2.893 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.894 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.894 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.894 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.894 * * * * [progress]: [ 51 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.894 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.894 * * [simplify]: iters left: 6 (7 enodes)
2.897 * * [simplify]: iters left: 5 (31 enodes)
2.902 * * [simplify]: iters left: 4 (42 enodes)
2.909 * * [simplify]: iters left: 3 (48 enodes)
2.916 * * [simplify]: iters left: 2 (54 enodes)
2.926 * * [simplify]: Extracting #0: cost 1 inf + 0
2.926 * * [simplify]: Extracting #1: cost 4 inf + 0
2.926 * * [simplify]: Extracting #2: cost 9 inf + 1
2.927 * * [simplify]: Extracting #3: cost 5 inf + 1016
2.927 * * [simplify]: Extracting #4: cost 0 inf + 1263
2.928 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
2.928 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.928 * * * * [progress]: [ 52 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.928 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.928 * * [simplify]: iters left: 6 (7 enodes)
2.933 * * [simplify]: iters left: 5 (31 enodes)
2.942 * * [simplify]: iters left: 4 (42 enodes)
2.955 * * [simplify]: iters left: 3 (48 enodes)
2.968 * * [simplify]: iters left: 2 (54 enodes)
2.982 * * [simplify]: Extracting #0: cost 1 inf + 0
2.982 * * [simplify]: Extracting #1: cost 4 inf + 0
2.982 * * [simplify]: Extracting #2: cost 9 inf + 1
2.982 * * [simplify]: Extracting #3: cost 5 inf + 1016
2.983 * * [simplify]: Extracting #4: cost 0 inf + 1263
2.983 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
2.983 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.983 * * * * [progress]: [ 53 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.984 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.984 * * [simplify]: iters left: 6 (7 enodes)
2.988 * * [simplify]: iters left: 5 (31 enodes)
2.998 * * [simplify]: iters left: 4 (42 enodes)
3.012 * * [simplify]: iters left: 3 (48 enodes)
3.024 * * [simplify]: iters left: 2 (54 enodes)
3.037 * * [simplify]: Extracting #0: cost 1 inf + 0
3.037 * * [simplify]: Extracting #1: cost 4 inf + 0
3.037 * * [simplify]: Extracting #2: cost 9 inf + 1
3.037 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.038 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.038 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.039 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.039 * * * * [progress]: [ 54 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
3.039 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.039 * * [simplify]: iters left: 6 (7 enodes)
3.042 * * [simplify]: iters left: 5 (31 enodes)
3.047 * * [simplify]: iters left: 4 (42 enodes)
3.053 * * [simplify]: iters left: 3 (48 enodes)
3.060 * * [simplify]: iters left: 2 (54 enodes)
3.066 * * [simplify]: Extracting #0: cost 1 inf + 0
3.066 * * [simplify]: Extracting #1: cost 4 inf + 0
3.067 * * [simplify]: Extracting #2: cost 9 inf + 1
3.067 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.067 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.067 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.067 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.067 * * * * [progress]: [ 55 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
3.067 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.068 * * [simplify]: iters left: 6 (7 enodes)
3.070 * * [simplify]: iters left: 5 (31 enodes)
3.079 * * [simplify]: iters left: 4 (42 enodes)
3.090 * * [simplify]: iters left: 3 (48 enodes)
3.097 * * [simplify]: iters left: 2 (54 enodes)
3.104 * * [simplify]: Extracting #0: cost 1 inf + 0
3.104 * * [simplify]: Extracting #1: cost 4 inf + 0
3.104 * * [simplify]: Extracting #2: cost 9 inf + 1
3.104 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.104 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.105 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.105 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.105 * * * * [progress]: [ 56 / 56 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))>
3.105 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.105 * * [simplify]: iters left: 6 (7 enodes)
3.107 * * [simplify]: iters left: 5 (31 enodes)
3.115 * * [simplify]: iters left: 4 (42 enodes)
3.121 * * [simplify]: iters left: 3 (48 enodes)
3.127 * * [simplify]: iters left: 2 (54 enodes)
3.134 * * [simplify]: Extracting #0: cost 1 inf + 0
3.134 * * [simplify]: Extracting #1: cost 4 inf + 0
3.134 * * [simplify]: Extracting #2: cost 9 inf + 1
3.134 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.134 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.135 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.135 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.135 * * * [progress]: adding candidates to table
3.566 * [progress]: [Phase 3 of 3] Extracting.
3.566 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (sqrt (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (atan2 1 (+ N (+ (* N N) 1))))>)
3.566 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
3.566 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (sqrt (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (atan2 1 (+ N (+ (* N N) 1))))>)
3.588 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (sqrt (* (* (cbrt (atan2 1 (+ N (+ (* N N) 1)))) (cbrt (atan2 1 (+ N (+ (* N N) 1))))) (cbrt (atan2 1 (+ N (+ (* N N) 1)))))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (atan2 1 (+ N (+ (* N N) 1))))>)
3.613 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
3.613 * [simplify]: Simplifying (atan2 1 (+ N (+ (* N N) 1)))
3.613 * * [simplify]: iters left: 6 (6 enodes)
3.613 * * [simplify]: iters left: 5 (10 enodes)
3.613 * * [simplify]: Extracting #0: cost 1 inf + 0
3.614 * * [simplify]: Extracting #1: cost 3 inf + 0
3.614 * * [simplify]: Extracting #2: cost 4 inf + 1
3.614 * * [simplify]: Extracting #3: cost 4 inf + 2
3.614 * * [simplify]: Extracting #4: cost 0 inf + 509
3.614 * [simplify]: Simplified to (atan2 1 (+ N (+ 1 (* N N))))
5.715 * [regime-testing]: Baseline error score: 0.34323550896327354
5.719 * [regime-testing]: Oracle error score: 0.31421064022950157
5.728 * [regime-testing]: End program error score: 0.34323550896327354
5.770 * [regime-testing]: Target error score: 0.3426929598942794