0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.065 * * * [progress]: [2/2] Setting up program.
0.070 * [progress]: [Phase 2 of 3] Improving.
0.070 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.070 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.070 * * [simplify]: iters left: 5 (6 enodes)
0.072 * * [simplify]: iters left: 4 (23 enodes)
0.075 * * [simplify]: iters left: 3 (28 enodes)
0.079 * * [simplify]: Extracting #0: cost 1 inf + 0
0.079 * * [simplify]: Extracting #1: cost 5 inf + 0
0.079 * * [simplify]: Extracting #2: cost 10 inf + 0
0.079 * * [simplify]: Extracting #3: cost 11 inf + 1
0.079 * * [simplify]: Extracting #4: cost 6 inf + 298
0.080 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.080 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.080 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.080 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.083 * * [progress]: iteration 1 / 4
0.083 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.085 * * * [progress]: localizing error
0.107 * * * [progress]: generating rewritten candidates
0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.113 * * * [progress]: generating series expansions
0.113 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.113 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.113 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.113 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.113 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.114 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.114 * [taylor]: Taking taylor expansion of (atan N) in N
0.114 * [backup-simplify]: Simplify (atan N) into (atan N)
0.114 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.114 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.114 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.114 * [taylor]: Taking taylor expansion of (atan N) in N
0.114 * [backup-simplify]: Simplify (atan N) into (atan N)
0.114 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.115 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.115 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
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
0.116 * [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
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [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 (- 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 (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.119 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.119 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.119 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.119 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
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 N) 1)) (atan (/ 1 N))) in N
0.119 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.119 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
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 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.119 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
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
0.120 * [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
0.121 * [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
0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.122 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.122 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.122 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.122 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.122 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.123 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.123 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.123 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.123 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.123 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.123 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.123 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.123 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.123 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
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
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.126 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.126 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.126 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.126 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.126 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.126 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.126 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
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
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.127 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.127 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.127 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.127 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.127 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.127 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.127 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.127 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.127 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.127 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.128 * * * [progress]: simplifying candidates
0.128 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.128 * [simplify]: Simplifying (- (+ N 1) N)
0.128 * * [simplify]: iters left: 4 (4 enodes)
0.129 * * [simplify]: iters left: 3 (19 enodes)
0.132 * * [simplify]: iters left: 2 (33 enodes)
0.138 * * [simplify]: iters left: 1 (39 enodes)
0.141 * * [simplify]: Extracting #0: cost 1 inf + 0
0.141 * * [simplify]: Extracting #1: cost 0 inf + 1
0.141 * [simplify]: Simplified to 1
0.142 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
0.142 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
0.142 * * [simplify]: iters left: 6 (5 enodes)
0.143 * * [simplify]: iters left: 5 (20 enodes)
0.146 * * [simplify]: iters left: 4 (29 enodes)
0.150 * * [simplify]: iters left: 3 (31 enodes)
0.154 * * [simplify]: Extracting #0: cost 1 inf + 0
0.154 * * [simplify]: Extracting #1: cost 4 inf + 0
0.155 * * [simplify]: Extracting #2: cost 7 inf + 1
0.155 * * [simplify]: Extracting #3: cost 2 inf + 493
0.155 * * [simplify]: Extracting #4: cost 0 inf + 574
0.155 * [simplify]: Simplified to (+ (* (+ N 1) N) 1)
0.155 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))
0.155 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.155 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
0.155 * * [simplify]: iters left: 6 (8 enodes)
0.157 * * [simplify]: iters left: 5 (29 enodes)
0.161 * * [simplify]: iters left: 4 (35 enodes)
0.167 * * [simplify]: iters left: 3 (40 enodes)
0.178 * * [simplify]: iters left: 2 (44 enodes)
0.195 * * [simplify]: iters left: 1 (48 enodes)
0.208 * * [simplify]: Extracting #0: cost 1 inf + 0
0.208 * * [simplify]: Extracting #1: cost 9 inf + 0
0.208 * * [simplify]: Extracting #2: cost 15 inf + 1
0.208 * * [simplify]: Extracting #3: cost 20 inf + 1
0.208 * * [simplify]: Extracting #4: cost 20 inf + 2
0.208 * * [simplify]: Extracting #5: cost 16 inf + 339
0.209 * * [simplify]: Extracting #6: cost 0 inf + 4059
0.210 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N)))
0.210 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
0.210 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.210 * * * * [progress]: [ 4 / 30 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.210 * * * * [progress]: [ 5 / 30 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.211 * * * * [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)))))>
0.211 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.211 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.211 * * * * [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))))))>
0.211 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.211 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.211 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.211 * * * * [progress]: [ 13 / 30 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.211 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
0.211 * * [simplify]: iters left: 6 (8 enodes)
0.215 * * [simplify]: iters left: 5 (28 enodes)
0.223 * * [simplify]: iters left: 4 (30 enodes)
0.227 * * [simplify]: Extracting #0: cost 1 inf + 0
0.227 * * [simplify]: Extracting #1: cost 4 inf + 0
0.227 * * [simplify]: Extracting #2: cost 8 inf + 0
0.227 * * [simplify]: Extracting #3: cost 12 inf + 0
0.227 * * [simplify]: Extracting #4: cost 10 inf + 359
0.227 * * [simplify]: Extracting #5: cost 8 inf + 506
0.227 * * [simplify]: Extracting #6: cost 5 inf + 737
0.227 * * [simplify]: Extracting #7: cost 1 inf + 1630
0.228 * * [simplify]: Extracting #8: cost 0 inf + 2002
0.228 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
0.228 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
0.228 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
0.228 * * [simplify]: iters left: 6 (8 enodes)
0.230 * * [simplify]: iters left: 5 (29 enodes)
0.234 * * [simplify]: iters left: 4 (34 enodes)
0.239 * * [simplify]: Extracting #0: cost 1 inf + 0
0.239 * * [simplify]: Extracting #1: cost 5 inf + 0
0.239 * * [simplify]: Extracting #2: cost 10 inf + 0
0.239 * * [simplify]: Extracting #3: cost 14 inf + 0
0.239 * * [simplify]: Extracting #4: cost 15 inf + 1
0.239 * * [simplify]: Extracting #5: cost 13 inf + 108
0.239 * * [simplify]: Extracting #6: cost 5 inf + 1109
0.239 * * [simplify]: Extracting #7: cost 0 inf + 2374
0.240 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
0.240 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
0.240 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.240 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.240 * * [simplify]: iters left: 5 (6 enodes)
0.241 * * [simplify]: iters left: 4 (23 enodes)
0.245 * * [simplify]: iters left: 3 (28 enodes)
0.248 * * [simplify]: Extracting #0: cost 1 inf + 0
0.248 * * [simplify]: Extracting #1: cost 5 inf + 0
0.248 * * [simplify]: Extracting #2: cost 10 inf + 0
0.249 * * [simplify]: Extracting #3: cost 11 inf + 1
0.249 * * [simplify]: Extracting #4: cost 6 inf + 298
0.249 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.249 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.249 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.249 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
0.249 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.249 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.249 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.249 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.249 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.249 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.249 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.249 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.249 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.250 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.250 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.250 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.250 * * [simplify]: iters left: 5 (6 enodes)
0.253 * * [simplify]: iters left: 4 (23 enodes)
0.260 * * [simplify]: iters left: 3 (28 enodes)
0.267 * * [simplify]: Extracting #0: cost 1 inf + 0
0.267 * * [simplify]: Extracting #1: cost 5 inf + 0
0.267 * * [simplify]: Extracting #2: cost 10 inf + 0
0.267 * * [simplify]: Extracting #3: cost 11 inf + 1
0.268 * * [simplify]: Extracting #4: cost 6 inf + 298
0.268 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.268 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.268 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.269 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.269 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.269 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.269 * * [simplify]: iters left: 5 (6 enodes)
0.272 * * [simplify]: iters left: 4 (23 enodes)
0.279 * * [simplify]: iters left: 3 (28 enodes)
0.287 * * [simplify]: Extracting #0: cost 1 inf + 0
0.287 * * [simplify]: Extracting #1: cost 5 inf + 0
0.287 * * [simplify]: Extracting #2: cost 10 inf + 0
0.287 * * [simplify]: Extracting #3: cost 11 inf + 1
0.287 * * [simplify]: Extracting #4: cost 6 inf + 298
0.288 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.288 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.288 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.289 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.289 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.289 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.289 * * [simplify]: iters left: 5 (6 enodes)
0.292 * * [simplify]: iters left: 4 (23 enodes)
0.300 * * [simplify]: iters left: 3 (28 enodes)
0.308 * * [simplify]: Extracting #0: cost 1 inf + 0
0.309 * * [simplify]: Extracting #1: cost 5 inf + 0
0.309 * * [simplify]: Extracting #2: cost 10 inf + 0
0.309 * * [simplify]: Extracting #3: cost 11 inf + 1
0.309 * * [simplify]: Extracting #4: cost 6 inf + 298
0.309 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.310 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.310 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.310 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.310 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.310 * [simplify]: Simplifying (atan (+ N 1))
0.310 * * [simplify]: iters left: 3 (4 enodes)
0.313 * * [simplify]: iters left: 2 (15 enodes)
0.318 * * [simplify]: iters left: 1 (17 enodes)
0.326 * * [simplify]: Extracting #0: cost 1 inf + 0
0.326 * * [simplify]: Extracting #1: cost 3 inf + 0
0.326 * * [simplify]: Extracting #2: cost 6 inf + 0
0.326 * * [simplify]: Extracting #3: cost 2 inf + 86
0.326 * * [simplify]: Extracting #4: cost 1 inf + 233
0.326 * * [simplify]: Extracting #5: cost 0 inf + 380
0.327 * [simplify]: Simplified to (atan (+ 1 N))
0.327 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.327 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.327 * [simplify]: Simplifying (atan (+ N 1))
0.327 * * [simplify]: iters left: 3 (4 enodes)
0.329 * * [simplify]: iters left: 2 (15 enodes)
0.334 * * [simplify]: iters left: 1 (17 enodes)
0.338 * * [simplify]: Extracting #0: cost 1 inf + 0
0.339 * * [simplify]: Extracting #1: cost 3 inf + 0
0.339 * * [simplify]: Extracting #2: cost 6 inf + 0
0.339 * * [simplify]: Extracting #3: cost 2 inf + 86
0.339 * * [simplify]: Extracting #4: cost 1 inf + 233
0.339 * * [simplify]: Extracting #5: cost 0 inf + 380
0.339 * [simplify]: Simplified to (atan (+ 1 N))
0.339 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.339 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.339 * [simplify]: Simplifying (atan (+ N 1))
0.339 * * [simplify]: iters left: 3 (4 enodes)
0.341 * * [simplify]: iters left: 2 (15 enodes)
0.346 * * [simplify]: iters left: 1 (17 enodes)
0.351 * * [simplify]: Extracting #0: cost 1 inf + 0
0.351 * * [simplify]: Extracting #1: cost 3 inf + 0
0.351 * * [simplify]: Extracting #2: cost 6 inf + 0
0.351 * * [simplify]: Extracting #3: cost 2 inf + 86
0.351 * * [simplify]: Extracting #4: cost 1 inf + 233
0.351 * * [simplify]: Extracting #5: cost 0 inf + 380
0.351 * [simplify]: Simplified to (atan (+ 1 N))
0.351 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.352 * * * [progress]: adding candidates to table
0.647 * * [progress]: iteration 2 / 4
0.647 * * * [progress]: picking best candidate
0.651 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
0.651 * * * [progress]: localizing error
0.671 * * * [progress]: generating rewritten candidates
0.671 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.671 * * * [progress]: generating series expansions
0.671 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.672 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.672 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.672 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.672 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.672 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.672 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.672 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.672 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.672 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.672 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.673 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.673 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.673 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.673 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.673 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.673 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.673 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.673 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.673 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.674 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.674 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.674 * * * [progress]: simplifying candidates
0.674 * * * * [progress]: [ 1 / 11 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
0.674 * * * * [progress]: [ 2 / 11 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.674 * * * * [progress]: [ 3 / 11 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.674 * * * * [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))))))>
0.674 * * * * [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))))))>
0.674 * * * * [progress]: [ 6 / 11 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.674 * * * * [progress]: [ 7 / 11 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
0.674 * * * * [progress]: [ 8 / 11 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.674 * * * * [progress]: [ 9 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.674 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.675 * * [simplify]: iters left: 6 (7 enodes)
0.677 * * [simplify]: iters left: 5 (31 enodes)
0.683 * * [simplify]: iters left: 4 (42 enodes)
0.689 * * [simplify]: iters left: 3 (48 enodes)
0.695 * * [simplify]: iters left: 2 (54 enodes)
0.701 * * [simplify]: Extracting #0: cost 1 inf + 0
0.701 * * [simplify]: Extracting #1: cost 4 inf + 0
0.701 * * [simplify]: Extracting #2: cost 9 inf + 1
0.702 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.702 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.702 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.702 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.702 * * * * [progress]: [ 10 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.702 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.702 * * [simplify]: iters left: 6 (7 enodes)
0.705 * * [simplify]: iters left: 5 (31 enodes)
0.713 * * [simplify]: iters left: 4 (42 enodes)
0.724 * * [simplify]: iters left: 3 (48 enodes)
0.736 * * [simplify]: iters left: 2 (54 enodes)
0.743 * * [simplify]: Extracting #0: cost 1 inf + 0
0.743 * * [simplify]: Extracting #1: cost 4 inf + 0
0.743 * * [simplify]: Extracting #2: cost 9 inf + 1
0.744 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.744 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.744 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.744 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.744 * * * * [progress]: [ 11 / 11 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
0.744 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
0.744 * * [simplify]: iters left: 6 (7 enodes)
0.747 * * [simplify]: iters left: 5 (31 enodes)
0.752 * * [simplify]: iters left: 4 (42 enodes)
0.759 * * [simplify]: iters left: 3 (48 enodes)
0.765 * * [simplify]: iters left: 2 (54 enodes)
0.772 * * [simplify]: Extracting #0: cost 1 inf + 0
0.772 * * [simplify]: Extracting #1: cost 4 inf + 0
0.772 * * [simplify]: Extracting #2: cost 9 inf + 1
0.772 * * [simplify]: Extracting #3: cost 5 inf + 1016
0.772 * * [simplify]: Extracting #4: cost 0 inf + 1263
0.772 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
0.772 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
0.772 * * * [progress]: adding candidates to table
0.837 * * [progress]: iteration 3 / 4
0.837 * * * [progress]: picking best candidate
0.841 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.841 * * * [progress]: localizing error
0.869 * * * [progress]: generating rewritten candidates
0.870 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.871 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.885 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
0.886 * * * [progress]: generating series expansions
0.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.887 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
0.887 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
0.887 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.887 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.887 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
0.887 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.887 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.887 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.887 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.888 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.889 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.891 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.891 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.891 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
0.891 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
0.891 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.891 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.891 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.891 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
0.891 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.891 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.892 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.892 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.892 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.892 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.893 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.895 * [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
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.895 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.895 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
0.895 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
0.895 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.896 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.896 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.896 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
0.896 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.896 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.896 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.896 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.896 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.898 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [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
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.900 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.900 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
0.900 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
0.900 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.900 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.900 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.900 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
0.900 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.900 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.900 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.901 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.901 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.902 * [backup-simplify]: Simplify 0 into 0
0.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.902 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.904 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.904 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
0.904 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
0.904 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.904 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.904 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.904 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
0.904 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.904 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.905 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.905 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
0.905 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.906 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [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
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.910 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.910 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
0.910 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
0.911 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.911 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.911 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.911 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
0.911 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.911 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.912 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.913 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
0.913 * [backup-simplify]: Simplify 0 into 0
0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.914 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.915 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
0.917 * [backup-simplify]: Simplify 0 into 0
0.918 * [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
0.918 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
0.923 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.923 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.923 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.923 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.924 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.924 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.924 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.924 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify 0 into 0
0.924 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.925 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.925 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.925 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.925 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.925 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.925 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.926 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.927 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.927 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.927 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.927 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.927 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.927 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.928 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
0.928 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.928 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.928 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.929 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.929 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.929 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.929 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.930 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.930 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.930 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.930 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.930 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.930 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.930 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.931 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.931 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.931 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.932 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.932 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.932 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.932 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.933 * * * [progress]: simplifying candidates
0.933 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
0.933 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
0.934 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.934 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.934 * * * * [progress]: [ 5 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.934 * * * * [progress]: [ 6 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.934 * * * * [progress]: [ 7 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.934 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
0.934 * * [simplify]: iters left: 6 (9 enodes)
0.939 * * [simplify]: iters left: 5 (33 enodes)
0.948 * * [simplify]: iters left: 4 (42 enodes)
0.960 * * [simplify]: iters left: 3 (44 enodes)
0.970 * * [simplify]: Extracting #0: cost 1 inf + 0
0.970 * * [simplify]: Extracting #1: cost 4 inf + 0
0.970 * * [simplify]: Extracting #2: cost 7 inf + 0
0.970 * * [simplify]: Extracting #3: cost 10 inf + 0
0.970 * * [simplify]: Extracting #4: cost 11 inf + 1
0.971 * * [simplify]: Extracting #5: cost 15 inf + 1
0.971 * * [simplify]: Extracting #6: cost 15 inf + 43
0.971 * * [simplify]: Extracting #7: cost 11 inf + 249
0.971 * * [simplify]: Extracting #8: cost 7 inf + 836
0.972 * * [simplify]: Extracting #9: cost 0 inf + 3310
0.973 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
0.973 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
0.973 * * * * [progress]: [ 8 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
0.974 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
0.974 * * [simplify]: iters left: 6 (8 enodes)
0.978 * * [simplify]: iters left: 5 (29 enodes)
0.987 * * [simplify]: iters left: 4 (38 enodes)
0.998 * * [simplify]: iters left: 3 (40 enodes)
1.008 * * [simplify]: Extracting #0: cost 1 inf + 0
1.008 * * [simplify]: Extracting #1: cost 3 inf + 0
1.008 * * [simplify]: Extracting #2: cost 5 inf + 0
1.008 * * [simplify]: Extracting #3: cost 8 inf + 0
1.008 * * [simplify]: Extracting #4: cost 9 inf + 1
1.008 * * [simplify]: Extracting #5: cost 13 inf + 1
1.008 * * [simplify]: Extracting #6: cost 14 inf + 2
1.008 * * [simplify]: Extracting #7: cost 9 inf + 249
1.009 * * [simplify]: Extracting #8: cost 5 inf + 836
1.009 * * [simplify]: Extracting #9: cost 1 inf + 2044
1.010 * * [simplify]: Extracting #10: cost 0 inf + 2386
1.011 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
1.011 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.011 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.011 * [simplify]: Simplifying (sqrt 1)
1.011 * * [simplify]: iters left: 1 (2 enodes)
1.014 * * [simplify]: Extracting #0: cost 1 inf + 0
1.014 * * [simplify]: Extracting #1: cost 0 inf + 1
1.014 * [simplify]: Simplified to 1
1.014 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
1.014 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
1.014 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.014 * * [simplify]: iters left: 6 (6 enodes)
1.016 * * [simplify]: iters left: 5 (23 enodes)
1.019 * * [simplify]: iters left: 4 (32 enodes)
1.023 * * [simplify]: iters left: 3 (34 enodes)
1.028 * * [simplify]: Extracting #0: cost 1 inf + 0
1.028 * * [simplify]: Extracting #1: cost 4 inf + 0
1.028 * * [simplify]: Extracting #2: cost 5 inf + 1
1.028 * * [simplify]: Extracting #3: cost 9 inf + 1
1.028 * * [simplify]: Extracting #4: cost 9 inf + 43
1.028 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.028 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.028 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))))
1.028 * * * * [progress]: [ 11 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.028 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.029 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.029 * * [simplify]: iters left: 6 (7 enodes)
1.030 * * [simplify]: iters left: 5 (26 enodes)
1.034 * * [simplify]: iters left: 4 (35 enodes)
1.040 * * [simplify]: iters left: 3 (37 enodes)
1.047 * * [simplify]: Extracting #0: cost 1 inf + 0
1.047 * * [simplify]: Extracting #1: cost 3 inf + 0
1.047 * * [simplify]: Extracting #2: cost 6 inf + 0
1.047 * * [simplify]: Extracting #3: cost 7 inf + 1
1.047 * * [simplify]: Extracting #4: cost 11 inf + 1
1.047 * * [simplify]: Extracting #5: cost 8 inf + 249
1.047 * * [simplify]: Extracting #6: cost 3 inf + 836
1.048 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.048 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.049 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.051 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))))
1.051 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.051 * * * * [progress]: [ 14 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.051 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.051 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * * * * [progress]: [ 19 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * * * * [progress]: [ 20 / 98 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * * * * [progress]: [ 21 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.052 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.052 * * [simplify]: iters left: 6 (9 enodes)
1.057 * * [simplify]: iters left: 5 (33 enodes)
1.067 * * [simplify]: iters left: 4 (42 enodes)
1.079 * * [simplify]: iters left: 3 (44 enodes)
1.089 * * [simplify]: Extracting #0: cost 1 inf + 0
1.089 * * [simplify]: Extracting #1: cost 4 inf + 0
1.090 * * [simplify]: Extracting #2: cost 7 inf + 0
1.090 * * [simplify]: Extracting #3: cost 10 inf + 0
1.090 * * [simplify]: Extracting #4: cost 11 inf + 1
1.090 * * [simplify]: Extracting #5: cost 15 inf + 1
1.090 * * [simplify]: Extracting #6: cost 15 inf + 43
1.090 * * [simplify]: Extracting #7: cost 11 inf + 249
1.090 * * [simplify]: Extracting #8: cost 7 inf + 836
1.091 * * [simplify]: Extracting #9: cost 0 inf + 3310
1.092 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
1.092 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.092 * * * * [progress]: [ 22 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.092 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
1.093 * * [simplify]: iters left: 6 (8 enodes)
1.096 * * [simplify]: iters left: 5 (29 enodes)
1.101 * * [simplify]: iters left: 4 (38 enodes)
1.107 * * [simplify]: iters left: 3 (40 enodes)
1.111 * * [simplify]: Extracting #0: cost 1 inf + 0
1.111 * * [simplify]: Extracting #1: cost 3 inf + 0
1.111 * * [simplify]: Extracting #2: cost 5 inf + 0
1.112 * * [simplify]: Extracting #3: cost 8 inf + 0
1.112 * * [simplify]: Extracting #4: cost 9 inf + 1
1.112 * * [simplify]: Extracting #5: cost 13 inf + 1
1.112 * * [simplify]: Extracting #6: cost 14 inf + 2
1.112 * * [simplify]: Extracting #7: cost 9 inf + 249
1.112 * * [simplify]: Extracting #8: cost 5 inf + 836
1.112 * * [simplify]: Extracting #9: cost 1 inf + 2044
1.112 * * [simplify]: Extracting #10: cost 0 inf + 2386
1.113 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
1.113 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.113 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.113 * [simplify]: Simplifying (sqrt 1)
1.113 * * [simplify]: iters left: 1 (2 enodes)
1.115 * * [simplify]: Extracting #0: cost 1 inf + 0
1.115 * * [simplify]: Extracting #1: cost 0 inf + 1
1.115 * [simplify]: Simplified to 1
1.115 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.115 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.115 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.115 * * [simplify]: iters left: 6 (6 enodes)
1.117 * * [simplify]: iters left: 5 (23 enodes)
1.120 * * [simplify]: iters left: 4 (32 enodes)
1.125 * * [simplify]: iters left: 3 (34 enodes)
1.132 * * [simplify]: Extracting #0: cost 1 inf + 0
1.132 * * [simplify]: Extracting #1: cost 4 inf + 0
1.132 * * [simplify]: Extracting #2: cost 5 inf + 1
1.132 * * [simplify]: Extracting #3: cost 9 inf + 1
1.133 * * [simplify]: Extracting #4: cost 9 inf + 43
1.133 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.133 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.133 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.134 * * * * [progress]: [ 25 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.134 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.134 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.134 * * [simplify]: iters left: 6 (7 enodes)
1.138 * * [simplify]: iters left: 5 (26 enodes)
1.146 * * [simplify]: iters left: 4 (35 enodes)
1.156 * * [simplify]: iters left: 3 (37 enodes)
1.160 * * [simplify]: Extracting #0: cost 1 inf + 0
1.160 * * [simplify]: Extracting #1: cost 3 inf + 0
1.160 * * [simplify]: Extracting #2: cost 6 inf + 0
1.160 * * [simplify]: Extracting #3: cost 7 inf + 1
1.160 * * [simplify]: Extracting #4: cost 11 inf + 1
1.160 * * [simplify]: Extracting #5: cost 8 inf + 249
1.160 * * [simplify]: Extracting #6: cost 3 inf + 836
1.160 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.161 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.161 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.161 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.161 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.161 * * * * [progress]: [ 28 / 98 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.161 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
1.161 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.161 * * [simplify]: iters left: 6 (6 enodes)
1.163 * * [simplify]: iters left: 5 (23 enodes)
1.168 * * [simplify]: iters left: 4 (32 enodes)
1.172 * * [simplify]: iters left: 3 (34 enodes)
1.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1.176 * * [simplify]: Extracting #1: cost 4 inf + 0
1.176 * * [simplify]: Extracting #2: cost 5 inf + 1
1.176 * * [simplify]: Extracting #3: cost 9 inf + 1
1.177 * * [simplify]: Extracting #4: cost 9 inf + 43
1.177 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.177 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.177 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 1/2)))
1.177 * [simplify]: Simplifying (+ 1/2 1/2)
1.177 * * [simplify]: iters left: 2 (2 enodes)
1.178 * * [simplify]: iters left: 1 (7 enodes)
1.180 * * [simplify]: Extracting #0: cost 1 inf + 0
1.180 * * [simplify]: Extracting #1: cost 0 inf + 1
1.180 * [simplify]: Simplified to 1
1.180 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
1.180 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (/ 1 2))))>
1.180 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.180 * * [simplify]: iters left: 6 (6 enodes)
1.181 * * [simplify]: iters left: 5 (23 enodes)
1.185 * * [simplify]: iters left: 4 (32 enodes)
1.194 * * [simplify]: iters left: 3 (34 enodes)
1.202 * * [simplify]: Extracting #0: cost 1 inf + 0
1.202 * * [simplify]: Extracting #1: cost 4 inf + 0
1.202 * * [simplify]: Extracting #2: cost 5 inf + 1
1.202 * * [simplify]: Extracting #3: cost 9 inf + 1
1.202 * * [simplify]: Extracting #4: cost 9 inf + 43
1.202 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.203 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.203 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (/ 1 2))))
1.203 * [simplify]: Simplifying (+ 1/2 (/ 1 2))
1.203 * * [simplify]: iters left: 4 (5 enodes)
1.208 * * [simplify]: iters left: 3 (18 enodes)
1.215 * * [simplify]: iters left: 2 (20 enodes)
1.221 * * [simplify]: Extracting #0: cost 1 inf + 0
1.221 * * [simplify]: Extracting #1: cost 0 inf + 1
1.221 * [simplify]: Simplified to 1
1.221 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
1.221 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
1.221 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.221 * * [simplify]: iters left: 6 (7 enodes)
1.225 * * [simplify]: iters left: 5 (26 enodes)
1.233 * * [simplify]: iters left: 4 (35 enodes)
1.243 * * [simplify]: iters left: 3 (37 enodes)
1.252 * * [simplify]: Extracting #0: cost 1 inf + 0
1.252 * * [simplify]: Extracting #1: cost 3 inf + 0
1.252 * * [simplify]: Extracting #2: cost 6 inf + 0
1.252 * * [simplify]: Extracting #3: cost 7 inf + 1
1.252 * * [simplify]: Extracting #4: cost 11 inf + 1
1.252 * * [simplify]: Extracting #5: cost 8 inf + 249
1.253 * * [simplify]: Extracting #6: cost 3 inf + 836
1.253 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.254 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.254 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.254 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 1)))
1.254 * [simplify]: Simplifying (+ 1 1)
1.254 * * [simplify]: iters left: 2 (2 enodes)
1.257 * * [simplify]: iters left: 1 (9 enodes)
1.259 * * [simplify]: Extracting #0: cost 1 inf + 0
1.259 * * [simplify]: Extracting #1: cost 0 inf + 1
1.260 * [simplify]: Simplified to 2
1.260 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
1.260 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) 1/2)))>
1.260 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.260 * * [simplify]: iters left: 6 (6 enodes)
1.263 * * [simplify]: iters left: 5 (23 enodes)
1.270 * * [simplify]: iters left: 4 (32 enodes)
1.279 * * [simplify]: iters left: 3 (34 enodes)
1.287 * * [simplify]: Extracting #0: cost 1 inf + 0
1.287 * * [simplify]: Extracting #1: cost 4 inf + 0
1.287 * * [simplify]: Extracting #2: cost 5 inf + 1
1.287 * * [simplify]: Extracting #3: cost 9 inf + 1
1.287 * * [simplify]: Extracting #4: cost 9 inf + 43
1.287 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.288 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.288 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) 1/2)))
1.288 * [simplify]: Simplifying (+ (/ 1 2) 1/2)
1.288 * * [simplify]: iters left: 4 (5 enodes)
1.295 * * [simplify]: iters left: 3 (18 enodes)
1.298 * * [simplify]: iters left: 2 (20 enodes)
1.301 * * [simplify]: Extracting #0: cost 1 inf + 0
1.301 * * [simplify]: Extracting #1: cost 0 inf + 1
1.301 * [simplify]: Simplified to 1
1.301 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
1.301 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (/ 1 2))))>
1.301 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.301 * * [simplify]: iters left: 6 (6 enodes)
1.303 * * [simplify]: iters left: 5 (23 enodes)
1.306 * * [simplify]: iters left: 4 (32 enodes)
1.311 * * [simplify]: iters left: 3 (34 enodes)
1.315 * * [simplify]: Extracting #0: cost 1 inf + 0
1.315 * * [simplify]: Extracting #1: cost 4 inf + 0
1.315 * * [simplify]: Extracting #2: cost 5 inf + 1
1.315 * * [simplify]: Extracting #3: cost 9 inf + 1
1.315 * * [simplify]: Extracting #4: cost 9 inf + 43
1.316 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.316 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.316 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (/ 1 2))))
1.316 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2))
1.316 * * [simplify]: iters left: 4 (4 enodes)
1.318 * * [simplify]: iters left: 3 (15 enodes)
1.321 * * [simplify]: iters left: 2 (17 enodes)
1.324 * * [simplify]: Extracting #0: cost 1 inf + 0
1.324 * * [simplify]: Extracting #1: cost 0 inf + 1
1.324 * [simplify]: Simplified to 1
1.324 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
1.324 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
1.325 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
1.325 * * [simplify]: iters left: 6 (7 enodes)
1.327 * * [simplify]: iters left: 5 (26 enodes)
1.335 * * [simplify]: iters left: 4 (35 enodes)
1.345 * * [simplify]: iters left: 3 (37 enodes)
1.354 * * [simplify]: Extracting #0: cost 1 inf + 0
1.354 * * [simplify]: Extracting #1: cost 3 inf + 0
1.354 * * [simplify]: Extracting #2: cost 6 inf + 0
1.354 * * [simplify]: Extracting #3: cost 7 inf + 1
1.354 * * [simplify]: Extracting #4: cost 11 inf + 1
1.354 * * [simplify]: Extracting #5: cost 8 inf + 249
1.354 * * [simplify]: Extracting #6: cost 3 inf + 836
1.355 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.355 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.355 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
1.355 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 1/2))
1.355 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
1.355 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
1.355 * * [simplify]: iters left: 6 (8 enodes)
1.357 * * [simplify]: iters left: 5 (27 enodes)
1.361 * * [simplify]: iters left: 4 (37 enodes)
1.367 * * [simplify]: iters left: 3 (39 enodes)
1.371 * * [simplify]: Extracting #0: cost 1 inf + 0
1.371 * * [simplify]: Extracting #1: cost 5 inf + 0
1.371 * * [simplify]: Extracting #2: cost 7 inf + 1
1.371 * * [simplify]: Extracting #3: cost 11 inf + 1
1.371 * * [simplify]: Extracting #4: cost 11 inf + 43
1.371 * * [simplify]: Extracting #5: cost 7 inf + 249
1.371 * * [simplify]: Extracting #6: cost 3 inf + 836
1.372 * * [simplify]: Extracting #7: cost 0 inf + 1702
1.372 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.372 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) 1))
1.372 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2)))>
1.372 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
1.372 * * [simplify]: iters left: 6 (7 enodes)
1.374 * * [simplify]: iters left: 5 (26 enodes)
1.378 * * [simplify]: iters left: 4 (35 enodes)
1.383 * * [simplify]: iters left: 3 (37 enodes)
1.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1.392 * * [simplify]: Extracting #1: cost 3 inf + 0
1.392 * * [simplify]: Extracting #2: cost 6 inf + 0
1.393 * * [simplify]: Extracting #3: cost 7 inf + 1
1.393 * * [simplify]: Extracting #4: cost 11 inf + 1
1.393 * * [simplify]: Extracting #5: cost 8 inf + 249
1.393 * * [simplify]: Extracting #6: cost 3 inf + 836
1.394 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.394 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.395 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
1.395 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (/ 1 2)))
1.395 * [simplify]: Simplifying (/ 1 2)
1.395 * * [simplify]: iters left: 2 (3 enodes)
1.398 * * [simplify]: iters left: 1 (12 enodes)
1.402 * * [simplify]: Extracting #0: cost 1 inf + 0
1.402 * * [simplify]: Extracting #1: cost 0 inf + 1
1.402 * [simplify]: Simplified to 1/2
1.402 * [simplify]: Simplified (2 2) to (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))
1.403 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
1.403 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
1.403 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.403 * * [simplify]: iters left: 6 (7 enodes)
1.407 * * [simplify]: iters left: 5 (26 enodes)
1.415 * * [simplify]: iters left: 4 (35 enodes)
1.425 * * [simplify]: iters left: 3 (37 enodes)
1.434 * * [simplify]: Extracting #0: cost 1 inf + 0
1.434 * * [simplify]: Extracting #1: cost 3 inf + 0
1.434 * * [simplify]: Extracting #2: cost 6 inf + 0
1.434 * * [simplify]: Extracting #3: cost 7 inf + 1
1.434 * * [simplify]: Extracting #4: cost 11 inf + 1
1.434 * * [simplify]: Extracting #5: cost 8 inf + 249
1.435 * * [simplify]: Extracting #6: cost 3 inf + 836
1.435 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.436 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.436 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.436 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 1)))
1.436 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
1.436 * * * * [progress]: [ 40 / 98 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.437 * [simplify]: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.437 * * [simplify]: iters left: 6 (9 enodes)
1.441 * * [simplify]: iters left: 5 (32 enodes)
1.446 * * [simplify]: iters left: 4 (41 enodes)
1.452 * * [simplify]: iters left: 3 (43 enodes)
1.457 * * [simplify]: Extracting #0: cost 1 inf + 0
1.457 * * [simplify]: Extracting #1: cost 3 inf + 0
1.457 * * [simplify]: Extracting #2: cost 5 inf + 0
1.457 * * [simplify]: Extracting #3: cost 7 inf + 0
1.457 * * [simplify]: Extracting #4: cost 10 inf + 0
1.457 * * [simplify]: Extracting #5: cost 11 inf + 1
1.457 * * [simplify]: Extracting #6: cost 15 inf + 1
1.457 * * [simplify]: Extracting #7: cost 16 inf + 2
1.457 * * [simplify]: Extracting #8: cost 10 inf + 330
1.458 * * [simplify]: Extracting #9: cost 8 inf + 714
1.458 * * [simplify]: Extracting #10: cost 4 inf + 1772
1.458 * * [simplify]: Extracting #11: cost 0 inf + 3270
1.459 * [simplify]: Simplified to (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
1.459 * [simplify]: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))))
1.459 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.459 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.459 * * * * [progress]: [ 43 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.459 * [simplify]: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.459 * * [simplify]: iters left: 6 (10 enodes)
1.462 * * [simplify]: iters left: 5 (40 enodes)
1.468 * * [simplify]: iters left: 4 (62 enodes)
1.487 * * [simplify]: iters left: 3 (78 enodes)
1.514 * * [simplify]: iters left: 2 (112 enodes)
1.539 * * [simplify]: iters left: 1 (196 enodes)
1.607 * * [simplify]: Extracting #0: cost 1 inf + 0
1.607 * * [simplify]: Extracting #1: cost 21 inf + 0
1.608 * * [simplify]: Extracting #2: cost 82 inf + 3
1.608 * * [simplify]: Extracting #3: cost 92 inf + 9
1.609 * * [simplify]: Extracting #4: cost 94 inf + 12
1.610 * * [simplify]: Extracting #5: cost 89 inf + 464
1.611 * * [simplify]: Extracting #6: cost 83 inf + 1924
1.614 * * [simplify]: Extracting #7: cost 46 inf + 19858
1.623 * * [simplify]: Extracting #8: cost 4 inf + 45102
1.636 * * [simplify]: Extracting #9: cost 0 inf + 47765
1.646 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))
1.646 * [simplify]: Simplified (2 1) to (λ (N) (cbrt (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))))
1.646 * * * * [progress]: [ 44 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.646 * * * * [progress]: [ 45 / 98 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.646 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.646 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
1.647 * * [simplify]: iters left: 6 (7 enodes)
1.650 * * [simplify]: iters left: 5 (26 enodes)
1.657 * * [simplify]: iters left: 4 (35 enodes)
1.667 * * [simplify]: iters left: 3 (37 enodes)
1.675 * * [simplify]: Extracting #0: cost 1 inf + 0
1.675 * * [simplify]: Extracting #1: cost 3 inf + 0
1.675 * * [simplify]: Extracting #2: cost 6 inf + 0
1.675 * * [simplify]: Extracting #3: cost 7 inf + 1
1.675 * * [simplify]: Extracting #4: cost 11 inf + 1
1.676 * * [simplify]: Extracting #5: cost 8 inf + 249
1.676 * * [simplify]: Extracting #6: cost 3 inf + 836
1.676 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.677 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.677 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
1.677 * [simplify]: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))))
1.677 * * * * [progress]: [ 47 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.677 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
1.678 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
1.678 * * [simplify]: iters left: 6 (5 enodes)
1.680 * * [simplify]: iters left: 5 (20 enodes)
1.686 * * [simplify]: iters left: 4 (29 enodes)
1.694 * * [simplify]: iters left: 3 (31 enodes)
1.701 * * [simplify]: Extracting #0: cost 1 inf + 0
1.701 * * [simplify]: Extracting #1: cost 4 inf + 0
1.701 * * [simplify]: Extracting #2: cost 7 inf + 1
1.701 * * [simplify]: Extracting #3: cost 2 inf + 493
1.702 * * [simplify]: Extracting #4: cost 0 inf + 574
1.702 * [simplify]: Simplified to (+ (* (+ N 1) N) 1)
1.702 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))
1.702 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.702 * * * * [progress]: [ 50 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.702 * [simplify]: Simplifying (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
1.702 * * [simplify]: iters left: 6 (10 enodes)
1.705 * * [simplify]: iters left: 5 (39 enodes)
1.711 * * [simplify]: iters left: 4 (52 enodes)
1.719 * * [simplify]: iters left: 3 (64 enodes)
1.729 * * [simplify]: iters left: 2 (84 enodes)
1.758 * * [simplify]: iters left: 1 (130 enodes)
1.799 * * [simplify]: Extracting #0: cost 1 inf + 0
1.799 * * [simplify]: Extracting #1: cost 13 inf + 0
1.799 * * [simplify]: Extracting #2: cost 40 inf + 1
1.800 * * [simplify]: Extracting #3: cost 40 inf + 7
1.800 * * [simplify]: Extracting #4: cost 41 inf + 9
1.800 * * [simplify]: Extracting #5: cost 44 inf + 10
1.801 * * [simplify]: Extracting #6: cost 45 inf + 11
1.801 * * [simplify]: Extracting #7: cost 28 inf + 3783
1.803 * * [simplify]: Extracting #8: cost 6 inf + 18412
1.806 * * [simplify]: Extracting #9: cost 0 inf + 23647
1.809 * [simplify]: Simplified to (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
1.809 * [simplify]: Simplified (2 1) to (λ (N) (* (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.809 * [simplify]: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.809 * * [simplify]: iters left: 6 (9 enodes)
1.812 * * [simplify]: iters left: 5 (32 enodes)
1.817 * * [simplify]: iters left: 4 (41 enodes)
1.823 * * [simplify]: iters left: 3 (43 enodes)
1.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1.828 * * [simplify]: Extracting #1: cost 3 inf + 0
1.828 * * [simplify]: Extracting #2: cost 5 inf + 0
1.828 * * [simplify]: Extracting #3: cost 7 inf + 0
1.828 * * [simplify]: Extracting #4: cost 10 inf + 0
1.828 * * [simplify]: Extracting #5: cost 11 inf + 1
1.828 * * [simplify]: Extracting #6: cost 15 inf + 1
1.828 * * [simplify]: Extracting #7: cost 16 inf + 2
1.829 * * [simplify]: Extracting #8: cost 10 inf + 330
1.829 * * [simplify]: Extracting #9: cost 8 inf + 714
1.829 * * [simplify]: Extracting #10: cost 4 inf + 1782
1.829 * * [simplify]: Extracting #11: cost 0 inf + 3310
1.830 * [simplify]: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
1.830 * [simplify]: Simplified (2 2) to (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))))
1.830 * * * * [progress]: [ 51 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.830 * [simplify]: Simplifying (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
1.830 * * [simplify]: iters left: 6 (10 enodes)
1.833 * * [simplify]: iters left: 5 (34 enodes)
1.838 * * [simplify]: iters left: 4 (44 enodes)
1.845 * * [simplify]: iters left: 3 (46 enodes)
1.853 * * [simplify]: Extracting #0: cost 1 inf + 0
1.853 * * [simplify]: Extracting #1: cost 4 inf + 0
1.853 * * [simplify]: Extracting #2: cost 7 inf + 0
1.853 * * [simplify]: Extracting #3: cost 10 inf + 0
1.854 * * [simplify]: Extracting #4: cost 11 inf + 1
1.854 * * [simplify]: Extracting #5: cost 15 inf + 1
1.854 * * [simplify]: Extracting #6: cost 15 inf + 43
1.854 * * [simplify]: Extracting #7: cost 11 inf + 249
1.854 * * [simplify]: Extracting #8: cost 8 inf + 714
1.854 * * [simplify]: Extracting #9: cost 1 inf + 2928
1.855 * * [simplify]: Extracting #10: cost 0 inf + 3310
1.855 * [simplify]: Simplified to (* (cbrt (atan2 1 (+ (+ (* N N) N) 1))) (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
1.855 * [simplify]: Simplified (2 1) to (λ (N) (* (* (cbrt (atan2 1 (+ (+ (* N N) N) 1))) (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.855 * [simplify]: Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.856 * * [simplify]: iters left: 6 (9 enodes)
1.858 * * [simplify]: iters left: 5 (30 enodes)
1.863 * * [simplify]: iters left: 4 (40 enodes)
1.872 * * [simplify]: iters left: 3 (42 enodes)
1.885 * * [simplify]: Extracting #0: cost 1 inf + 0
1.885 * * [simplify]: Extracting #1: cost 4 inf + 0
1.885 * * [simplify]: Extracting #2: cost 8 inf + 0
1.885 * * [simplify]: Extracting #3: cost 9 inf + 1
1.885 * * [simplify]: Extracting #4: cost 13 inf + 1
1.885 * * [simplify]: Extracting #5: cost 14 inf + 2
1.885 * * [simplify]: Extracting #6: cost 8 inf + 330
1.886 * * [simplify]: Extracting #7: cost 6 inf + 714
1.886 * * [simplify]: Extracting #8: cost 2 inf + 1822
1.887 * * [simplify]: Extracting #9: cost 0 inf + 2546
1.888 * [simplify]: Simplified to (cbrt (atan2 1 (+ (+ (* N N) N) 1)))
1.888 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (atan2 1 (+ (+ (* N N) N) 1)))))
1.888 * * * * [progress]: [ 52 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.888 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.889 * * [simplify]: iters left: 6 (9 enodes)
1.894 * * [simplify]: iters left: 5 (30 enodes)
1.903 * * [simplify]: iters left: 4 (40 enodes)
1.914 * * [simplify]: iters left: 3 (42 enodes)
1.919 * * [simplify]: Extracting #0: cost 1 inf + 0
1.919 * * [simplify]: Extracting #1: cost 4 inf + 0
1.919 * * [simplify]: Extracting #2: cost 8 inf + 0
1.920 * * [simplify]: Extracting #3: cost 9 inf + 1
1.920 * * [simplify]: Extracting #4: cost 13 inf + 1
1.920 * * [simplify]: Extracting #5: cost 14 inf + 2
1.920 * * [simplify]: Extracting #6: cost 8 inf + 330
1.920 * * [simplify]: Extracting #7: cost 6 inf + 714
1.920 * * [simplify]: Extracting #8: cost 2 inf + 1742
1.920 * * [simplify]: Extracting #9: cost 0 inf + 2386
1.921 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
1.921 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.921 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.921 * * [simplify]: iters left: 6 (9 enodes)
1.923 * * [simplify]: iters left: 5 (30 enodes)
1.928 * * [simplify]: iters left: 4 (40 enodes)
1.933 * * [simplify]: iters left: 3 (42 enodes)
1.938 * * [simplify]: Extracting #0: cost 1 inf + 0
1.938 * * [simplify]: Extracting #1: cost 4 inf + 0
1.939 * * [simplify]: Extracting #2: cost 8 inf + 0
1.939 * * [simplify]: Extracting #3: cost 9 inf + 1
1.939 * * [simplify]: Extracting #4: cost 13 inf + 1
1.939 * * [simplify]: Extracting #5: cost 14 inf + 2
1.939 * * [simplify]: Extracting #6: cost 8 inf + 330
1.939 * * [simplify]: Extracting #7: cost 6 inf + 714
1.939 * * [simplify]: Extracting #8: cost 2 inf + 1742
1.940 * * [simplify]: Extracting #9: cost 0 inf + 2386
1.940 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
1.940 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
1.940 * * * * [progress]: [ 53 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.940 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.940 * * [simplify]: iters left: 6 (9 enodes)
1.944 * * [simplify]: iters left: 5 (30 enodes)
1.951 * * [simplify]: iters left: 4 (40 enodes)
1.957 * * [simplify]: iters left: 3 (42 enodes)
1.963 * * [simplify]: Extracting #0: cost 1 inf + 0
1.963 * * [simplify]: Extracting #1: cost 4 inf + 0
1.963 * * [simplify]: Extracting #2: cost 8 inf + 0
1.963 * * [simplify]: Extracting #3: cost 9 inf + 1
1.963 * * [simplify]: Extracting #4: cost 13 inf + 1
1.963 * * [simplify]: Extracting #5: cost 14 inf + 2
1.963 * * [simplify]: Extracting #6: cost 8 inf + 330
1.964 * * [simplify]: Extracting #7: cost 6 inf + 714
1.964 * * [simplify]: Extracting #8: cost 2 inf + 1742
1.964 * * [simplify]: Extracting #9: cost 0 inf + 2386
1.964 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
1.965 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.965 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.965 * * [simplify]: iters left: 6 (9 enodes)
1.967 * * [simplify]: iters left: 5 (30 enodes)
1.971 * * [simplify]: iters left: 4 (40 enodes)
1.980 * * [simplify]: iters left: 3 (42 enodes)
1.993 * * [simplify]: Extracting #0: cost 1 inf + 0
1.993 * * [simplify]: Extracting #1: cost 4 inf + 0
1.993 * * [simplify]: Extracting #2: cost 8 inf + 0
1.993 * * [simplify]: Extracting #3: cost 9 inf + 1
1.993 * * [simplify]: Extracting #4: cost 13 inf + 1
1.993 * * [simplify]: Extracting #5: cost 14 inf + 2
1.993 * * [simplify]: Extracting #6: cost 8 inf + 330
1.994 * * [simplify]: Extracting #7: cost 6 inf + 714
1.995 * * [simplify]: Extracting #8: cost 2 inf + 1742
1.996 * * [simplify]: Extracting #9: cost 0 inf + 2386
1.997 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
1.997 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
1.997 * * * * [progress]: [ 54 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.997 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1))
1.997 * * [simplify]: iters left: 3 (3 enodes)
2.002 * * [simplify]: iters left: 2 (9 enodes)
2.005 * * [simplify]: iters left: 1 (11 enodes)
2.007 * * [simplify]: Extracting #0: cost 1 inf + 0
2.007 * * [simplify]: Extracting #1: cost 0 inf + 1
2.007 * [simplify]: Simplified to 1
2.007 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.008 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.008 * * [simplify]: iters left: 6 (8 enodes)
2.012 * * [simplify]: iters left: 5 (27 enodes)
2.019 * * [simplify]: iters left: 4 (37 enodes)
2.028 * * [simplify]: iters left: 3 (39 enodes)
2.036 * * [simplify]: Extracting #0: cost 1 inf + 0
2.036 * * [simplify]: Extracting #1: cost 5 inf + 0
2.036 * * [simplify]: Extracting #2: cost 7 inf + 1
2.036 * * [simplify]: Extracting #3: cost 11 inf + 1
2.037 * * [simplify]: Extracting #4: cost 11 inf + 43
2.037 * * [simplify]: Extracting #5: cost 7 inf + 249
2.037 * * [simplify]: Extracting #6: cost 3 inf + 836
2.037 * * [simplify]: Extracting #7: cost 0 inf + 1702
2.038 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.038 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (atan2 1 (+ (+ N (* N N)) 1))))
2.038 * * * * [progress]: [ 55 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.038 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.038 * * [simplify]: iters left: 6 (9 enodes)
2.043 * * [simplify]: iters left: 5 (30 enodes)
2.049 * * [simplify]: iters left: 4 (40 enodes)
2.054 * * [simplify]: iters left: 3 (42 enodes)
2.059 * * [simplify]: Extracting #0: cost 1 inf + 0
2.059 * * [simplify]: Extracting #1: cost 4 inf + 0
2.059 * * [simplify]: Extracting #2: cost 8 inf + 0
2.059 * * [simplify]: Extracting #3: cost 9 inf + 1
2.059 * * [simplify]: Extracting #4: cost 13 inf + 1
2.059 * * [simplify]: Extracting #5: cost 14 inf + 2
2.059 * * [simplify]: Extracting #6: cost 8 inf + 330
2.059 * * [simplify]: Extracting #7: cost 6 inf + 714
2.060 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.060 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.060 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.060 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.061 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.061 * * [simplify]: iters left: 6 (9 enodes)
2.063 * * [simplify]: iters left: 5 (30 enodes)
2.067 * * [simplify]: iters left: 4 (40 enodes)
2.073 * * [simplify]: iters left: 3 (42 enodes)
2.080 * * [simplify]: Extracting #0: cost 1 inf + 0
2.080 * * [simplify]: Extracting #1: cost 4 inf + 0
2.080 * * [simplify]: Extracting #2: cost 8 inf + 0
2.080 * * [simplify]: Extracting #3: cost 9 inf + 1
2.080 * * [simplify]: Extracting #4: cost 13 inf + 1
2.080 * * [simplify]: Extracting #5: cost 14 inf + 2
2.080 * * [simplify]: Extracting #6: cost 8 inf + 330
2.080 * * [simplify]: Extracting #7: cost 6 inf + 714
2.081 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.081 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.081 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.081 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.081 * * * * [progress]: [ 56 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.082 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.082 * * [simplify]: iters left: 6 (9 enodes)
2.087 * * [simplify]: iters left: 5 (30 enodes)
2.096 * * [simplify]: iters left: 4 (40 enodes)
2.102 * * [simplify]: iters left: 3 (42 enodes)
2.107 * * [simplify]: Extracting #0: cost 1 inf + 0
2.107 * * [simplify]: Extracting #1: cost 4 inf + 0
2.107 * * [simplify]: Extracting #2: cost 8 inf + 0
2.107 * * [simplify]: Extracting #3: cost 9 inf + 1
2.107 * * [simplify]: Extracting #4: cost 13 inf + 1
2.107 * * [simplify]: Extracting #5: cost 14 inf + 2
2.107 * * [simplify]: Extracting #6: cost 8 inf + 330
2.108 * * [simplify]: Extracting #7: cost 6 inf + 714
2.108 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.108 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.109 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.109 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.109 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.109 * * [simplify]: iters left: 6 (9 enodes)
2.111 * * [simplify]: iters left: 5 (30 enodes)
2.115 * * [simplify]: iters left: 4 (40 enodes)
2.121 * * [simplify]: iters left: 3 (42 enodes)
2.126 * * [simplify]: Extracting #0: cost 1 inf + 0
2.126 * * [simplify]: Extracting #1: cost 4 inf + 0
2.126 * * [simplify]: Extracting #2: cost 8 inf + 0
2.126 * * [simplify]: Extracting #3: cost 9 inf + 1
2.126 * * [simplify]: Extracting #4: cost 13 inf + 1
2.126 * * [simplify]: Extracting #5: cost 14 inf + 2
2.126 * * [simplify]: Extracting #6: cost 8 inf + 330
2.127 * * [simplify]: Extracting #7: cost 6 inf + 714
2.127 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.128 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.129 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.129 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.129 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.129 * [simplify]: Simplifying (* 1 1)
2.129 * * [simplify]: iters left: 2 (2 enodes)
2.131 * * [simplify]: iters left: 1 (6 enodes)
2.133 * * [simplify]: Extracting #0: cost 1 inf + 0
2.133 * * [simplify]: Extracting #1: cost 0 inf + 1
2.133 * [simplify]: Simplified to 1
2.133 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.133 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.134 * * [simplify]: iters left: 6 (8 enodes)
2.137 * * [simplify]: iters left: 5 (27 enodes)
2.146 * * [simplify]: iters left: 4 (37 enodes)
2.153 * * [simplify]: iters left: 3 (39 enodes)
2.157 * * [simplify]: Extracting #0: cost 1 inf + 0
2.157 * * [simplify]: Extracting #1: cost 5 inf + 0
2.157 * * [simplify]: Extracting #2: cost 7 inf + 1
2.158 * * [simplify]: Extracting #3: cost 11 inf + 1
2.158 * * [simplify]: Extracting #4: cost 11 inf + 43
2.158 * * [simplify]: Extracting #5: cost 7 inf + 249
2.158 * * [simplify]: Extracting #6: cost 3 inf + 836
2.158 * * [simplify]: Extracting #7: cost 0 inf + 1702
2.158 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.158 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (atan2 1 (+ (+ N (* N N)) 1))))
2.158 * * * * [progress]: [ 58 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.159 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.159 * * [simplify]: iters left: 6 (9 enodes)
2.161 * * [simplify]: iters left: 5 (30 enodes)
2.166 * * [simplify]: iters left: 4 (40 enodes)
2.172 * * [simplify]: iters left: 3 (42 enodes)
2.183 * * [simplify]: Extracting #0: cost 1 inf + 0
2.183 * * [simplify]: Extracting #1: cost 4 inf + 0
2.184 * * [simplify]: Extracting #2: cost 8 inf + 0
2.184 * * [simplify]: Extracting #3: cost 9 inf + 1
2.184 * * [simplify]: Extracting #4: cost 13 inf + 1
2.184 * * [simplify]: Extracting #5: cost 14 inf + 2
2.184 * * [simplify]: Extracting #6: cost 8 inf + 330
2.184 * * [simplify]: Extracting #7: cost 6 inf + 714
2.185 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.185 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.186 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.186 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.186 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.186 * * [simplify]: iters left: 6 (9 enodes)
2.190 * * [simplify]: iters left: 5 (30 enodes)
2.200 * * [simplify]: iters left: 4 (40 enodes)
2.208 * * [simplify]: iters left: 3 (42 enodes)
2.213 * * [simplify]: Extracting #0: cost 1 inf + 0
2.213 * * [simplify]: Extracting #1: cost 4 inf + 0
2.213 * * [simplify]: Extracting #2: cost 8 inf + 0
2.213 * * [simplify]: Extracting #3: cost 9 inf + 1
2.213 * * [simplify]: Extracting #4: cost 13 inf + 1
2.213 * * [simplify]: Extracting #5: cost 14 inf + 2
2.213 * * [simplify]: Extracting #6: cost 8 inf + 330
2.214 * * [simplify]: Extracting #7: cost 6 inf + 714
2.214 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.214 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.214 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.215 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.215 * * * * [progress]: [ 59 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.215 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.215 * * [simplify]: iters left: 6 (9 enodes)
2.217 * * [simplify]: iters left: 5 (30 enodes)
2.222 * * [simplify]: iters left: 4 (40 enodes)
2.227 * * [simplify]: iters left: 3 (42 enodes)
2.235 * * [simplify]: Extracting #0: cost 1 inf + 0
2.235 * * [simplify]: Extracting #1: cost 4 inf + 0
2.235 * * [simplify]: Extracting #2: cost 8 inf + 0
2.235 * * [simplify]: Extracting #3: cost 9 inf + 1
2.235 * * [simplify]: Extracting #4: cost 13 inf + 1
2.235 * * [simplify]: Extracting #5: cost 14 inf + 2
2.235 * * [simplify]: Extracting #6: cost 8 inf + 330
2.236 * * [simplify]: Extracting #7: cost 6 inf + 714
2.236 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.237 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.238 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.238 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.238 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.238 * * [simplify]: iters left: 6 (9 enodes)
2.243 * * [simplify]: iters left: 5 (30 enodes)
2.252 * * [simplify]: iters left: 4 (40 enodes)
2.264 * * [simplify]: iters left: 3 (42 enodes)
2.276 * * [simplify]: Extracting #0: cost 1 inf + 0
2.276 * * [simplify]: Extracting #1: cost 4 inf + 0
2.276 * * [simplify]: Extracting #2: cost 8 inf + 0
2.276 * * [simplify]: Extracting #3: cost 9 inf + 1
2.276 * * [simplify]: Extracting #4: cost 13 inf + 1
2.276 * * [simplify]: Extracting #5: cost 14 inf + 2
2.276 * * [simplify]: Extracting #6: cost 8 inf + 330
2.277 * * [simplify]: Extracting #7: cost 6 inf + 714
2.277 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.278 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.279 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.279 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.279 * * * * [progress]: [ 60 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.279 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.279 * * [simplify]: iters left: 6 (9 enodes)
2.284 * * [simplify]: iters left: 5 (30 enodes)
2.294 * * [simplify]: iters left: 4 (40 enodes)
2.304 * * [simplify]: iters left: 3 (42 enodes)
2.310 * * [simplify]: Extracting #0: cost 1 inf + 0
2.310 * * [simplify]: Extracting #1: cost 4 inf + 0
2.310 * * [simplify]: Extracting #2: cost 8 inf + 0
2.310 * * [simplify]: Extracting #3: cost 9 inf + 1
2.310 * * [simplify]: Extracting #4: cost 13 inf + 1
2.310 * * [simplify]: Extracting #5: cost 14 inf + 2
2.310 * * [simplify]: Extracting #6: cost 8 inf + 330
2.310 * * [simplify]: Extracting #7: cost 6 inf + 714
2.310 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.311 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.311 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.311 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.311 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.311 * * [simplify]: iters left: 6 (9 enodes)
2.314 * * [simplify]: iters left: 5 (30 enodes)
2.318 * * [simplify]: iters left: 4 (40 enodes)
2.324 * * [simplify]: iters left: 3 (42 enodes)
2.328 * * [simplify]: Extracting #0: cost 1 inf + 0
2.329 * * [simplify]: Extracting #1: cost 4 inf + 0
2.329 * * [simplify]: Extracting #2: cost 8 inf + 0
2.329 * * [simplify]: Extracting #3: cost 9 inf + 1
2.329 * * [simplify]: Extracting #4: cost 13 inf + 1
2.329 * * [simplify]: Extracting #5: cost 14 inf + 2
2.329 * * [simplify]: Extracting #6: cost 8 inf + 330
2.329 * * [simplify]: Extracting #7: cost 6 inf + 714
2.329 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.330 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.331 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.331 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.331 * * * * [progress]: [ 61 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.331 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.331 * * [simplify]: iters left: 6 (9 enodes)
2.336 * * [simplify]: iters left: 5 (30 enodes)
2.341 * * [simplify]: iters left: 4 (40 enodes)
2.347 * * [simplify]: iters left: 3 (42 enodes)
2.352 * * [simplify]: Extracting #0: cost 1 inf + 0
2.352 * * [simplify]: Extracting #1: cost 4 inf + 0
2.352 * * [simplify]: Extracting #2: cost 8 inf + 0
2.352 * * [simplify]: Extracting #3: cost 9 inf + 1
2.352 * * [simplify]: Extracting #4: cost 13 inf + 1
2.352 * * [simplify]: Extracting #5: cost 14 inf + 2
2.353 * * [simplify]: Extracting #6: cost 8 inf + 330
2.353 * * [simplify]: Extracting #7: cost 6 inf + 714
2.353 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.354 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.354 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.354 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.354 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.354 * * [simplify]: iters left: 6 (9 enodes)
2.357 * * [simplify]: iters left: 5 (30 enodes)
2.361 * * [simplify]: iters left: 4 (40 enodes)
2.368 * * [simplify]: iters left: 3 (42 enodes)
2.378 * * [simplify]: Extracting #0: cost 1 inf + 0
2.378 * * [simplify]: Extracting #1: cost 4 inf + 0
2.378 * * [simplify]: Extracting #2: cost 8 inf + 0
2.378 * * [simplify]: Extracting #3: cost 9 inf + 1
2.378 * * [simplify]: Extracting #4: cost 13 inf + 1
2.378 * * [simplify]: Extracting #5: cost 14 inf + 2
2.378 * * [simplify]: Extracting #6: cost 8 inf + 330
2.379 * * [simplify]: Extracting #7: cost 6 inf + 714
2.379 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.380 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.380 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.381 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ (* N N) N) 1)))))
2.381 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 1/2)))>
2.381 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
2.381 * * [simplify]: iters left: 6 (6 enodes)
2.385 * * [simplify]: iters left: 5 (23 enodes)
2.389 * * [simplify]: iters left: 4 (32 enodes)
2.394 * * [simplify]: iters left: 3 (34 enodes)
2.399 * * [simplify]: Extracting #0: cost 1 inf + 0
2.399 * * [simplify]: Extracting #1: cost 4 inf + 0
2.399 * * [simplify]: Extracting #2: cost 5 inf + 1
2.399 * * [simplify]: Extracting #3: cost 9 inf + 1
2.399 * * [simplify]: Extracting #4: cost 9 inf + 43
2.399 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.399 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.399 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (* 2 1/2)))
2.400 * [simplify]: Simplifying (* 2 1/2)
2.400 * * [simplify]: iters left: 2 (3 enodes)
2.402 * * [simplify]: iters left: 1 (11 enodes)
2.404 * * [simplify]: Extracting #0: cost 1 inf + 0
2.404 * * [simplify]: Extracting #1: cost 0 inf + 1
2.404 * [simplify]: Simplified to 1
2.404 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.404 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 2 1)))>
2.404 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
2.404 * * [simplify]: iters left: 6 (7 enodes)
2.406 * * [simplify]: iters left: 5 (26 enodes)
2.410 * * [simplify]: iters left: 4 (35 enodes)
2.415 * * [simplify]: iters left: 3 (37 enodes)
2.420 * * [simplify]: Extracting #0: cost 1 inf + 0
2.420 * * [simplify]: Extracting #1: cost 3 inf + 0
2.420 * * [simplify]: Extracting #2: cost 6 inf + 0
2.420 * * [simplify]: Extracting #3: cost 7 inf + 1
2.420 * * [simplify]: Extracting #4: cost 11 inf + 1
2.420 * * [simplify]: Extracting #5: cost 8 inf + 249
2.420 * * [simplify]: Extracting #6: cost 3 inf + 836
2.421 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.421 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.421 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
2.421 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* 2 1)))
2.421 * [simplify]: Simplifying (* 2 1)
2.421 * * [simplify]: iters left: 2 (3 enodes)
2.423 * * [simplify]: iters left: 1 (9 enodes)
2.424 * * [simplify]: Extracting #0: cost 1 inf + 0
2.424 * * [simplify]: Extracting #1: cost 0 inf + 1
2.424 * [simplify]: Simplified to 2
2.424 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
2.424 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 (/ 1 2))))>
2.425 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
2.425 * * [simplify]: iters left: 6 (6 enodes)
2.426 * * [simplify]: iters left: 5 (23 enodes)
2.430 * * [simplify]: iters left: 4 (32 enodes)
2.434 * * [simplify]: iters left: 3 (34 enodes)
2.438 * * [simplify]: Extracting #0: cost 1 inf + 0
2.438 * * [simplify]: Extracting #1: cost 4 inf + 0
2.438 * * [simplify]: Extracting #2: cost 5 inf + 1
2.438 * * [simplify]: Extracting #3: cost 9 inf + 1
2.438 * * [simplify]: Extracting #4: cost 9 inf + 43
2.438 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.439 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.439 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (* 2 (/ 1 2))))
2.439 * [simplify]: Simplifying (* 2 (/ 1 2))
2.439 * * [simplify]: iters left: 4 (4 enodes)
2.441 * * [simplify]: iters left: 3 (13 enodes)
2.443 * * [simplify]: iters left: 2 (15 enodes)
2.445 * * [simplify]: Extracting #0: cost 1 inf + 0
2.445 * * [simplify]: Extracting #1: cost 0 inf + 1
2.445 * [simplify]: Simplified to 1
2.445 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.446 * * * * [progress]: [ 65 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.446 * [simplify]: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.446 * * [simplify]: iters left: 6 (8 enodes)
2.448 * * [simplify]: iters left: 5 (29 enodes)
2.455 * * [simplify]: iters left: 4 (38 enodes)
2.467 * * [simplify]: iters left: 3 (40 enodes)
2.475 * * [simplify]: Extracting #0: cost 1 inf + 0
2.475 * * [simplify]: Extracting #1: cost 3 inf + 0
2.475 * * [simplify]: Extracting #2: cost 5 inf + 0
2.475 * * [simplify]: Extracting #3: cost 8 inf + 0
2.475 * * [simplify]: Extracting #4: cost 9 inf + 1
2.475 * * [simplify]: Extracting #5: cost 13 inf + 1
2.475 * * [simplify]: Extracting #6: cost 14 inf + 2
2.475 * * [simplify]: Extracting #7: cost 9 inf + 249
2.476 * * [simplify]: Extracting #8: cost 5 inf + 836
2.476 * * [simplify]: Extracting #9: cost 1 inf + 2084
2.476 * * [simplify]: Extracting #10: cost 0 inf + 2466
2.477 * [simplify]: Simplified to (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
2.477 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))))
2.477 * * * * [progress]: [ 66 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.477 * [simplify]: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.477 * * [simplify]: iters left: 6 (8 enodes)
2.479 * * [simplify]: iters left: 5 (29 enodes)
2.483 * * [simplify]: iters left: 4 (38 enodes)
2.488 * * [simplify]: iters left: 3 (40 enodes)
2.494 * * [simplify]: Extracting #0: cost 1 inf + 0
2.494 * * [simplify]: Extracting #1: cost 3 inf + 0
2.494 * * [simplify]: Extracting #2: cost 5 inf + 0
2.494 * * [simplify]: Extracting #3: cost 8 inf + 0
2.494 * * [simplify]: Extracting #4: cost 9 inf + 1
2.494 * * [simplify]: Extracting #5: cost 13 inf + 1
2.494 * * [simplify]: Extracting #6: cost 14 inf + 2
2.495 * * [simplify]: Extracting #7: cost 9 inf + 249
2.495 * * [simplify]: Extracting #8: cost 5 inf + 836
2.495 * * [simplify]: Extracting #9: cost 1 inf + 2164
2.495 * * [simplify]: Extracting #10: cost 0 inf + 2546
2.496 * [simplify]: Simplified to (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1))))
2.496 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1))))))
2.496 * * * * [progress]: [ 67 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.496 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.496 * * [simplify]: iters left: 6 (8 enodes)
2.498 * * [simplify]: iters left: 5 (29 enodes)
2.502 * * [simplify]: iters left: 4 (38 enodes)
2.509 * * [simplify]: iters left: 3 (40 enodes)
2.516 * * [simplify]: Extracting #0: cost 1 inf + 0
2.516 * * [simplify]: Extracting #1: cost 3 inf + 0
2.516 * * [simplify]: Extracting #2: cost 5 inf + 0
2.516 * * [simplify]: Extracting #3: cost 8 inf + 0
2.516 * * [simplify]: Extracting #4: cost 9 inf + 1
2.516 * * [simplify]: Extracting #5: cost 13 inf + 1
2.516 * * [simplify]: Extracting #6: cost 14 inf + 2
2.516 * * [simplify]: Extracting #7: cost 9 inf + 249
2.516 * * [simplify]: Extracting #8: cost 5 inf + 836
2.517 * * [simplify]: Extracting #9: cost 1 inf + 2044
2.517 * * [simplify]: Extracting #10: cost 0 inf + 2386
2.517 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
2.517 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))))
2.517 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.518 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
2.518 * * [simplify]: iters left: 6 (7 enodes)
2.519 * * [simplify]: iters left: 5 (26 enodes)
2.523 * * [simplify]: iters left: 4 (35 enodes)
2.528 * * [simplify]: iters left: 3 (37 enodes)
2.533 * * [simplify]: Extracting #0: cost 1 inf + 0
2.533 * * [simplify]: Extracting #1: cost 3 inf + 0
2.533 * * [simplify]: Extracting #2: cost 6 inf + 0
2.533 * * [simplify]: Extracting #3: cost 7 inf + 1
2.533 * * [simplify]: Extracting #4: cost 11 inf + 1
2.533 * * [simplify]: Extracting #5: cost 8 inf + 249
2.533 * * [simplify]: Extracting #6: cost 3 inf + 836
2.533 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.533 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.534 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
2.534 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
2.534 * * * * [progress]: [ 69 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.534 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.534 * * [simplify]: iters left: 6 (8 enodes)
2.536 * * [simplify]: iters left: 5 (29 enodes)
2.540 * * [simplify]: iters left: 4 (38 enodes)
2.550 * * [simplify]: iters left: 3 (40 enodes)
2.559 * * [simplify]: Extracting #0: cost 1 inf + 0
2.559 * * [simplify]: Extracting #1: cost 3 inf + 0
2.559 * * [simplify]: Extracting #2: cost 5 inf + 0
2.559 * * [simplify]: Extracting #3: cost 8 inf + 0
2.559 * * [simplify]: Extracting #4: cost 9 inf + 1
2.560 * * [simplify]: Extracting #5: cost 13 inf + 1
2.560 * * [simplify]: Extracting #6: cost 14 inf + 2
2.560 * * [simplify]: Extracting #7: cost 9 inf + 249
2.560 * * [simplify]: Extracting #8: cost 5 inf + 836
2.560 * * [simplify]: Extracting #9: cost 1 inf + 2044
2.560 * * [simplify]: Extracting #10: cost 0 inf + 2386
2.561 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
2.561 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))))
2.561 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.561 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
2.561 * * [simplify]: iters left: 6 (7 enodes)
2.563 * * [simplify]: iters left: 5 (26 enodes)
2.567 * * [simplify]: iters left: 4 (35 enodes)
2.572 * * [simplify]: iters left: 3 (37 enodes)
2.577 * * [simplify]: Extracting #0: cost 1 inf + 0
2.577 * * [simplify]: Extracting #1: cost 3 inf + 0
2.577 * * [simplify]: Extracting #2: cost 6 inf + 0
2.577 * * [simplify]: Extracting #3: cost 7 inf + 1
2.577 * * [simplify]: Extracting #4: cost 11 inf + 1
2.577 * * [simplify]: Extracting #5: cost 8 inf + 249
2.577 * * [simplify]: Extracting #6: cost 3 inf + 836
2.578 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.578 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.579 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
2.579 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
2.579 * * * * [progress]: [ 71 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.579 * [simplify]: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.579 * * [simplify]: iters left: 6 (9 enodes)
2.583 * * [simplify]: iters left: 5 (32 enodes)
2.589 * * [simplify]: iters left: 4 (41 enodes)
2.599 * * [simplify]: iters left: 3 (43 enodes)
2.604 * * [simplify]: Extracting #0: cost 1 inf + 0
2.604 * * [simplify]: Extracting #1: cost 3 inf + 0
2.604 * * [simplify]: Extracting #2: cost 5 inf + 0
2.605 * * [simplify]: Extracting #3: cost 7 inf + 0
2.605 * * [simplify]: Extracting #4: cost 10 inf + 0
2.605 * * [simplify]: Extracting #5: cost 11 inf + 1
2.605 * * [simplify]: Extracting #6: cost 15 inf + 1
2.605 * * [simplify]: Extracting #7: cost 16 inf + 2
2.605 * * [simplify]: Extracting #8: cost 10 inf + 330
2.605 * * [simplify]: Extracting #9: cost 8 inf + 714
2.605 * * [simplify]: Extracting #10: cost 4 inf + 1782
2.606 * * [simplify]: Extracting #11: cost 0 inf + 3310
2.606 * [simplify]: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
2.606 * [simplify]: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.606 * * * * [progress]: [ 72 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.606 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.607 * * [simplify]: iters left: 6 (9 enodes)
2.609 * * [simplify]: iters left: 5 (33 enodes)
2.613 * * [simplify]: iters left: 4 (42 enodes)
2.619 * * [simplify]: iters left: 3 (44 enodes)
2.624 * * [simplify]: Extracting #0: cost 1 inf + 0
2.624 * * [simplify]: Extracting #1: cost 4 inf + 0
2.624 * * [simplify]: Extracting #2: cost 7 inf + 0
2.624 * * [simplify]: Extracting #3: cost 10 inf + 0
2.624 * * [simplify]: Extracting #4: cost 11 inf + 1
2.624 * * [simplify]: Extracting #5: cost 15 inf + 1
2.624 * * [simplify]: Extracting #6: cost 15 inf + 43
2.624 * * [simplify]: Extracting #7: cost 11 inf + 249
2.625 * * [simplify]: Extracting #8: cost 7 inf + 836
2.625 * * [simplify]: Extracting #9: cost 0 inf + 3310
2.625 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
2.625 * [simplify]: Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.626 * * * * [progress]: [ 73 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.626 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.626 * * [simplify]: iters left: 6 (8 enodes)
2.628 * * [simplify]: iters left: 5 (29 enodes)
2.634 * * [simplify]: iters left: 4 (38 enodes)
2.645 * * [simplify]: iters left: 3 (40 enodes)
2.650 * * [simplify]: Extracting #0: cost 1 inf + 0
2.650 * * [simplify]: Extracting #1: cost 3 inf + 0
2.650 * * [simplify]: Extracting #2: cost 5 inf + 0
2.650 * * [simplify]: Extracting #3: cost 8 inf + 0
2.650 * * [simplify]: Extracting #4: cost 9 inf + 1
2.650 * * [simplify]: Extracting #5: cost 13 inf + 1
2.650 * * [simplify]: Extracting #6: cost 14 inf + 2
2.650 * * [simplify]: Extracting #7: cost 9 inf + 249
2.651 * * [simplify]: Extracting #8: cost 5 inf + 836
2.651 * * [simplify]: Extracting #9: cost 1 inf + 2044
2.651 * * [simplify]: Extracting #10: cost 0 inf + 2386
2.652 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
2.652 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.652 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.652 * [simplify]: Simplifying (sqrt 1)
2.652 * * [simplify]: iters left: 1 (2 enodes)
2.654 * * [simplify]: Extracting #0: cost 1 inf + 0
2.654 * * [simplify]: Extracting #1: cost 0 inf + 1
2.654 * [simplify]: Simplified to 1
2.654 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.654 * * * * [progress]: [ 75 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.654 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.654 * * [simplify]: iters left: 6 (8 enodes)
2.656 * * [simplify]: iters left: 5 (29 enodes)
2.661 * * [simplify]: iters left: 4 (38 enodes)
2.667 * * [simplify]: iters left: 3 (40 enodes)
2.674 * * [simplify]: Extracting #0: cost 1 inf + 0
2.675 * * [simplify]: Extracting #1: cost 3 inf + 0
2.675 * * [simplify]: Extracting #2: cost 5 inf + 0
2.675 * * [simplify]: Extracting #3: cost 8 inf + 0
2.675 * * [simplify]: Extracting #4: cost 9 inf + 1
2.675 * * [simplify]: Extracting #5: cost 13 inf + 1
2.675 * * [simplify]: Extracting #6: cost 14 inf + 2
2.675 * * [simplify]: Extracting #7: cost 9 inf + 249
2.675 * * [simplify]: Extracting #8: cost 5 inf + 836
2.675 * * [simplify]: Extracting #9: cost 1 inf + 2044
2.676 * * [simplify]: Extracting #10: cost 0 inf + 2386
2.676 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
2.676 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.676 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.676 * * * * [progress]: [ 77 / 98 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.676 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.676 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
2.676 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.676 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.676 * * * * [progress]: [ 82 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.676 * * * * [progress]: [ 83 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.676 * * * * [progress]: [ 84 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.677 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.677 * * * * [progress]: [ 86 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.677 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.677 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.677 * * [simplify]: iters left: 6 (8 enodes)
2.681 * * [simplify]: iters left: 5 (34 enodes)
2.691 * * [simplify]: iters left: 4 (45 enodes)
2.699 * * [simplify]: iters left: 3 (51 enodes)
2.706 * * [simplify]: iters left: 2 (57 enodes)
2.713 * * [simplify]: Extracting #0: cost 1 inf + 0
2.714 * * [simplify]: Extracting #1: cost 3 inf + 0
2.714 * * [simplify]: Extracting #2: cost 6 inf + 0
2.714 * * [simplify]: Extracting #3: cost 11 inf + 1
2.714 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.715 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.715 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.715 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.715 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.715 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.715 * * [simplify]: iters left: 6 (8 enodes)
2.718 * * [simplify]: iters left: 5 (34 enodes)
2.724 * * [simplify]: iters left: 4 (45 enodes)
2.730 * * [simplify]: iters left: 3 (51 enodes)
2.736 * * [simplify]: iters left: 2 (57 enodes)
2.743 * * [simplify]: Extracting #0: cost 1 inf + 0
2.743 * * [simplify]: Extracting #1: cost 3 inf + 0
2.743 * * [simplify]: Extracting #2: cost 6 inf + 0
2.743 * * [simplify]: Extracting #3: cost 11 inf + 1
2.743 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.743 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.744 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.744 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.744 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
2.744 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.744 * * [simplify]: iters left: 6 (8 enodes)
2.747 * * [simplify]: iters left: 5 (34 enodes)
2.752 * * [simplify]: iters left: 4 (45 enodes)
2.762 * * [simplify]: iters left: 3 (51 enodes)
2.770 * * [simplify]: iters left: 2 (57 enodes)
2.777 * * [simplify]: Extracting #0: cost 1 inf + 0
2.777 * * [simplify]: Extracting #1: cost 3 inf + 0
2.777 * * [simplify]: Extracting #2: cost 6 inf + 0
2.777 * * [simplify]: Extracting #3: cost 11 inf + 1
2.777 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.777 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.778 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.778 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
2.778 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.778 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.778 * * [simplify]: iters left: 6 (8 enodes)
2.780 * * [simplify]: iters left: 5 (34 enodes)
2.786 * * [simplify]: iters left: 4 (45 enodes)
2.793 * * [simplify]: iters left: 3 (51 enodes)
2.802 * * [simplify]: iters left: 2 (57 enodes)
2.810 * * [simplify]: Extracting #0: cost 1 inf + 0
2.810 * * [simplify]: Extracting #1: cost 3 inf + 0
2.810 * * [simplify]: Extracting #2: cost 6 inf + 0
2.810 * * [simplify]: Extracting #3: cost 11 inf + 1
2.810 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.810 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.811 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.811 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.811 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.811 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.811 * * [simplify]: iters left: 6 (8 enodes)
2.814 * * [simplify]: iters left: 5 (34 enodes)
2.819 * * [simplify]: iters left: 4 (45 enodes)
2.826 * * [simplify]: iters left: 3 (51 enodes)
2.832 * * [simplify]: iters left: 2 (57 enodes)
2.844 * * [simplify]: Extracting #0: cost 1 inf + 0
2.844 * * [simplify]: Extracting #1: cost 3 inf + 0
2.844 * * [simplify]: Extracting #2: cost 6 inf + 0
2.844 * * [simplify]: Extracting #3: cost 11 inf + 1
2.844 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.845 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.846 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.846 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.846 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.846 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
2.846 * * [simplify]: iters left: 6 (8 enodes)
2.850 * * [simplify]: iters left: 5 (34 enodes)
2.857 * * [simplify]: iters left: 4 (45 enodes)
2.863 * * [simplify]: iters left: 3 (51 enodes)
2.870 * * [simplify]: iters left: 2 (57 enodes)
2.877 * * [simplify]: Extracting #0: cost 1 inf + 0
2.877 * * [simplify]: Extracting #1: cost 3 inf + 0
2.877 * * [simplify]: Extracting #2: cost 6 inf + 0
2.877 * * [simplify]: Extracting #3: cost 11 inf + 1
2.877 * * [simplify]: Extracting #4: cost 5 inf + 1620
2.878 * * [simplify]: Extracting #5: cost 0 inf + 1867
2.878 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
2.878 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.878 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.878 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.878 * * [simplify]: iters left: 6 (7 enodes)
2.881 * * [simplify]: iters left: 5 (31 enodes)
2.891 * * [simplify]: iters left: 4 (42 enodes)
2.904 * * [simplify]: iters left: 3 (48 enodes)
2.916 * * [simplify]: iters left: 2 (54 enodes)
2.928 * * [simplify]: Extracting #0: cost 1 inf + 0
2.928 * * [simplify]: Extracting #1: cost 4 inf + 0
2.928 * * [simplify]: Extracting #2: cost 9 inf + 1
2.928 * * [simplify]: Extracting #3: cost 5 inf + 1016
2.928 * * [simplify]: Extracting #4: cost 0 inf + 1263
2.928 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
2.928 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
2.929 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.929 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.929 * * [simplify]: iters left: 6 (7 enodes)
2.931 * * [simplify]: iters left: 5 (31 enodes)
2.936 * * [simplify]: iters left: 4 (42 enodes)
2.942 * * [simplify]: iters left: 3 (48 enodes)
2.947 * * [simplify]: iters left: 2 (54 enodes)
2.955 * * [simplify]: Extracting #0: cost 1 inf + 0
2.955 * * [simplify]: Extracting #1: cost 4 inf + 0
2.955 * * [simplify]: Extracting #2: cost 9 inf + 1
2.955 * * [simplify]: Extracting #3: cost 5 inf + 1016
2.956 * * [simplify]: Extracting #4: cost 0 inf + 1263
2.956 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
2.956 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
2.957 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.957 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
2.957 * * [simplify]: iters left: 6 (7 enodes)
2.964 * * [simplify]: iters left: 5 (31 enodes)
2.974 * * [simplify]: iters left: 4 (42 enodes)
2.986 * * [simplify]: iters left: 3 (48 enodes)
2.994 * * [simplify]: iters left: 2 (54 enodes)
3.001 * * [simplify]: Extracting #0: cost 1 inf + 0
3.002 * * [simplify]: Extracting #1: cost 4 inf + 0
3.002 * * [simplify]: Extracting #2: cost 9 inf + 1
3.002 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.002 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.002 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.002 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
3.002 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.003 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.003 * * [simplify]: iters left: 6 (7 enodes)
3.005 * * [simplify]: iters left: 5 (31 enodes)
3.011 * * [simplify]: iters left: 4 (42 enodes)
3.017 * * [simplify]: iters left: 3 (48 enodes)
3.029 * * [simplify]: iters left: 2 (54 enodes)
3.038 * * [simplify]: Extracting #0: cost 1 inf + 0
3.038 * * [simplify]: Extracting #1: cost 4 inf + 0
3.038 * * [simplify]: Extracting #2: cost 9 inf + 1
3.039 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.039 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.039 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.039 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.039 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 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)
3.052 * * [simplify]: iters left: 3 (48 enodes)
3.058 * * [simplify]: iters left: 2 (54 enodes)
3.069 * * [simplify]: Extracting #0: cost 1 inf + 0
3.069 * * [simplify]: Extracting #1: cost 4 inf + 0
3.069 * * [simplify]: Extracting #2: cost 9 inf + 1
3.070 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.070 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.071 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.071 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.071 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.071 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.071 * * [simplify]: iters left: 6 (7 enodes)
3.075 * * [simplify]: iters left: 5 (31 enodes)
3.081 * * [simplify]: iters left: 4 (42 enodes)
3.087 * * [simplify]: iters left: 3 (48 enodes)
3.093 * * [simplify]: iters left: 2 (54 enodes)
3.100 * * [simplify]: Extracting #0: cost 1 inf + 0
3.100 * * [simplify]: Extracting #1: cost 4 inf + 0
3.100 * * [simplify]: Extracting #2: cost 9 inf + 1
3.100 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.100 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.101 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.101 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.101 * * * [progress]: adding candidates to table
3.849 * * [progress]: iteration 4 / 4
3.850 * * * [progress]: picking best candidate
3.859 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.859 * * * [progress]: localizing error
3.886 * * * [progress]: generating rewritten candidates
3.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
3.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
3.889 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
3.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
3.891 * * * [progress]: generating series expansions
3.891 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
3.891 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.891 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.891 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.891 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.892 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.892 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.892 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.892 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.892 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.893 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.893 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.894 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.895 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.896 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.897 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.898 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.898 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.898 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.898 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.898 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.899 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.899 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.899 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.899 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.899 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.900 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.900 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.902 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.903 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.905 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.905 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.905 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.905 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.905 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.906 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.906 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.906 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.906 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.906 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.907 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.907 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.908 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.909 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.911 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
3.912 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.912 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.912 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.912 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.913 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.913 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.913 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.913 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.913 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.913 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.914 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.914 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.916 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.917 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.918 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.918 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.918 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.918 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.918 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.919 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.919 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.919 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.919 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.919 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.919 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.919 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.920 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.922 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.923 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.923 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.923 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.923 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.923 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.923 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.923 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.923 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.923 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.923 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.924 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.925 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.927 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
3.927 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.927 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
3.927 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.927 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.927 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.927 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.928 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
3.928 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.928 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.928 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.928 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.928 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.929 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.932 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.932 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
3.932 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.932 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.932 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.932 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.933 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
3.933 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.933 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.933 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.934 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
3.934 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.937 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.940 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.940 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
3.940 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.940 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.940 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.940 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.940 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
3.940 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.940 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.941 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.941 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
3.941 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.942 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.945 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
3.947 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.947 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
3.947 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.947 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.947 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
3.947 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.948 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.948 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.948 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
3.948 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.948 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.948 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
3.949 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.949 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.950 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.950 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
3.950 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.950 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.950 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
3.950 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.950 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
3.951 * * * [progress]: simplifying candidates
3.951 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2))))>
3.951 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1))))>
3.951 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.951 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.951 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.951 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.951 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.951 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.952 * * [simplify]: iters left: 6 (9 enodes)
3.956 * * [simplify]: iters left: 5 (33 enodes)
3.970 * * [simplify]: iters left: 4 (42 enodes)
3.981 * * [simplify]: iters left: 3 (44 enodes)
3.987 * * [simplify]: Extracting #0: cost 1 inf + 0
3.987 * * [simplify]: Extracting #1: cost 4 inf + 0
3.987 * * [simplify]: Extracting #2: cost 7 inf + 0
3.987 * * [simplify]: Extracting #3: cost 10 inf + 0
3.987 * * [simplify]: Extracting #4: cost 11 inf + 1
3.987 * * [simplify]: Extracting #5: cost 15 inf + 1
3.987 * * [simplify]: Extracting #6: cost 15 inf + 43
3.987 * * [simplify]: Extracting #7: cost 11 inf + 249
3.987 * * [simplify]: Extracting #8: cost 7 inf + 836
3.988 * * [simplify]: Extracting #9: cost 0 inf + 3310
3.988 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
3.988 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
3.988 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
3.988 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.988 * * [simplify]: iters left: 6 (8 enodes)
3.990 * * [simplify]: iters left: 5 (29 enodes)
3.995 * * [simplify]: iters left: 4 (38 enodes)
4.000 * * [simplify]: iters left: 3 (40 enodes)
4.005 * * [simplify]: Extracting #0: cost 1 inf + 0
4.005 * * [simplify]: Extracting #1: cost 3 inf + 0
4.005 * * [simplify]: Extracting #2: cost 5 inf + 0
4.005 * * [simplify]: Extracting #3: cost 8 inf + 0
4.005 * * [simplify]: Extracting #4: cost 9 inf + 1
4.005 * * [simplify]: Extracting #5: cost 13 inf + 1
4.005 * * [simplify]: Extracting #6: cost 14 inf + 2
4.005 * * [simplify]: Extracting #7: cost 9 inf + 249
4.006 * * [simplify]: Extracting #8: cost 5 inf + 836
4.006 * * [simplify]: Extracting #9: cost 1 inf + 2044
4.006 * * [simplify]: Extracting #10: cost 0 inf + 2386
4.006 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
4.006 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
4.007 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.007 * [simplify]: Simplifying (sqrt 1)
4.007 * * [simplify]: iters left: 1 (2 enodes)
4.008 * * [simplify]: Extracting #0: cost 1 inf + 0
4.008 * * [simplify]: Extracting #1: cost 0 inf + 1
4.008 * [simplify]: Simplified to 1
4.009 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
4.009 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)))))>
4.009 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
4.009 * * [simplify]: iters left: 6 (6 enodes)
4.010 * * [simplify]: iters left: 5 (23 enodes)
4.014 * * [simplify]: iters left: 4 (32 enodes)
4.023 * * [simplify]: iters left: 3 (34 enodes)
4.031 * * [simplify]: Extracting #0: cost 1 inf + 0
4.031 * * [simplify]: Extracting #1: cost 4 inf + 0
4.031 * * [simplify]: Extracting #2: cost 5 inf + 1
4.031 * * [simplify]: Extracting #3: cost 9 inf + 1
4.032 * * [simplify]: Extracting #4: cost 9 inf + 43
4.032 * * [simplify]: Extracting #5: cost 0 inf + 1098
4.032 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
4.032 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)))))
4.032 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.032 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.033 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
4.033 * * [simplify]: iters left: 6 (7 enodes)
4.036 * * [simplify]: iters left: 5 (26 enodes)
4.040 * * [simplify]: iters left: 4 (35 enodes)
4.046 * * [simplify]: iters left: 3 (37 enodes)
4.050 * * [simplify]: Extracting #0: cost 1 inf + 0
4.050 * * [simplify]: Extracting #1: cost 3 inf + 0
4.050 * * [simplify]: Extracting #2: cost 6 inf + 0
4.050 * * [simplify]: Extracting #3: cost 7 inf + 1
4.050 * * [simplify]: Extracting #4: cost 11 inf + 1
4.050 * * [simplify]: Extracting #5: cost 8 inf + 249
4.051 * * [simplify]: Extracting #6: cost 3 inf + 836
4.051 * * [simplify]: Extracting #7: cost 1 inf + 1400
4.051 * * [simplify]: Extracting #8: cost 0 inf + 1702
4.051 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
4.051 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))))
4.051 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.052 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.052 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.052 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
4.052 * * [simplify]: iters left: 6 (9 enodes)
4.054 * * [simplify]: iters left: 5 (33 enodes)
4.059 * * [simplify]: iters left: 4 (42 enodes)
4.067 * * [simplify]: iters left: 3 (44 enodes)
4.076 * * [simplify]: Extracting #0: cost 1 inf + 0
4.077 * * [simplify]: Extracting #1: cost 4 inf + 0
4.077 * * [simplify]: Extracting #2: cost 7 inf + 0
4.077 * * [simplify]: Extracting #3: cost 10 inf + 0
4.077 * * [simplify]: Extracting #4: cost 11 inf + 1
4.077 * * [simplify]: Extracting #5: cost 15 inf + 1
4.077 * * [simplify]: Extracting #6: cost 15 inf + 43
4.077 * * [simplify]: Extracting #7: cost 11 inf + 249
4.077 * * [simplify]: Extracting #8: cost 7 inf + 836
4.078 * * [simplify]: Extracting #9: cost 0 inf + 3310
4.079 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
4.079 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.079 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.079 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
4.079 * * [simplify]: iters left: 6 (8 enodes)
4.083 * * [simplify]: iters left: 5 (29 enodes)
4.091 * * [simplify]: iters left: 4 (38 enodes)
4.101 * * [simplify]: iters left: 3 (40 enodes)
4.112 * * [simplify]: Extracting #0: cost 1 inf + 0
4.112 * * [simplify]: Extracting #1: cost 3 inf + 0
4.112 * * [simplify]: Extracting #2: cost 5 inf + 0
4.112 * * [simplify]: Extracting #3: cost 8 inf + 0
4.112 * * [simplify]: Extracting #4: cost 9 inf + 1
4.112 * * [simplify]: Extracting #5: cost 13 inf + 1
4.112 * * [simplify]: Extracting #6: cost 14 inf + 2
4.112 * * [simplify]: Extracting #7: cost 9 inf + 249
4.113 * * [simplify]: Extracting #8: cost 5 inf + 836
4.113 * * [simplify]: Extracting #9: cost 1 inf + 2044
4.114 * * [simplify]: Extracting #10: cost 0 inf + 2386
4.114 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
4.114 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.114 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.115 * [simplify]: Simplifying (sqrt 1)
4.115 * * [simplify]: iters left: 1 (2 enodes)
4.117 * * [simplify]: Extracting #0: cost 1 inf + 0
4.117 * * [simplify]: Extracting #1: cost 0 inf + 1
4.117 * [simplify]: Simplified to 1
4.118 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.118 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.118 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
4.118 * * [simplify]: iters left: 6 (6 enodes)
4.121 * * [simplify]: iters left: 5 (23 enodes)
4.128 * * [simplify]: iters left: 4 (32 enodes)
4.138 * * [simplify]: iters left: 3 (34 enodes)
4.147 * * [simplify]: Extracting #0: cost 1 inf + 0
4.147 * * [simplify]: Extracting #1: cost 4 inf + 0
4.147 * * [simplify]: Extracting #2: cost 5 inf + 1
4.148 * * [simplify]: Extracting #3: cost 9 inf + 1
4.148 * * [simplify]: Extracting #4: cost 9 inf + 43
4.148 * * [simplify]: Extracting #5: cost 0 inf + 1098
4.148 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
4.148 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.149 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.149 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.149 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
4.149 * * [simplify]: iters left: 6 (7 enodes)
4.151 * * [simplify]: iters left: 5 (26 enodes)
4.155 * * [simplify]: iters left: 4 (35 enodes)
4.161 * * [simplify]: iters left: 3 (37 enodes)
4.166 * * [simplify]: Extracting #0: cost 1 inf + 0
4.166 * * [simplify]: Extracting #1: cost 3 inf + 0
4.166 * * [simplify]: Extracting #2: cost 6 inf + 0
4.166 * * [simplify]: Extracting #3: cost 7 inf + 1
4.166 * * [simplify]: Extracting #4: cost 11 inf + 1
4.166 * * [simplify]: Extracting #5: cost 8 inf + 249
4.167 * * [simplify]: Extracting #6: cost 3 inf + 836
4.167 * * [simplify]: Extracting #7: cost 1 inf + 1400
4.167 * * [simplify]: Extracting #8: cost 0 inf + 1702
4.167 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
4.167 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.167 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.168 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
4.168 * * [simplify]: iters left: 6 (9 enodes)
4.170 * * [simplify]: iters left: 5 (33 enodes)
4.175 * * [simplify]: iters left: 4 (42 enodes)
4.182 * * [simplify]: iters left: 3 (44 enodes)
4.187 * * [simplify]: Extracting #0: cost 1 inf + 0
4.188 * * [simplify]: Extracting #1: cost 4 inf + 0
4.188 * * [simplify]: Extracting #2: cost 7 inf + 0
4.188 * * [simplify]: Extracting #3: cost 10 inf + 0
4.188 * * [simplify]: Extracting #4: cost 11 inf + 1
4.188 * * [simplify]: Extracting #5: cost 15 inf + 1
4.188 * * [simplify]: Extracting #6: cost 15 inf + 43
4.188 * * [simplify]: Extracting #7: cost 11 inf + 249
4.188 * * [simplify]: Extracting #8: cost 7 inf + 836
4.188 * * [simplify]: Extracting #9: cost 0 inf + 3310
4.189 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
4.189 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.189 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.189 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
4.189 * * [simplify]: iters left: 6 (8 enodes)
4.191 * * [simplify]: iters left: 5 (29 enodes)
4.196 * * [simplify]: iters left: 4 (38 enodes)
4.201 * * [simplify]: iters left: 3 (40 enodes)
4.206 * * [simplify]: Extracting #0: cost 1 inf + 0
4.206 * * [simplify]: Extracting #1: cost 3 inf + 0
4.206 * * [simplify]: Extracting #2: cost 5 inf + 0
4.206 * * [simplify]: Extracting #3: cost 8 inf + 0
4.206 * * [simplify]: Extracting #4: cost 9 inf + 1
4.206 * * [simplify]: Extracting #5: cost 13 inf + 1
4.206 * * [simplify]: Extracting #6: cost 14 inf + 2
4.206 * * [simplify]: Extracting #7: cost 9 inf + 249
4.207 * * [simplify]: Extracting #8: cost 5 inf + 836
4.207 * * [simplify]: Extracting #9: cost 1 inf + 2044
4.208 * * [simplify]: Extracting #10: cost 0 inf + 2386
4.208 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
4.208 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.209 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.209 * [simplify]: Simplifying (sqrt 1)
4.209 * * [simplify]: iters left: 1 (2 enodes)
4.212 * * [simplify]: Extracting #0: cost 1 inf + 0
4.212 * * [simplify]: Extracting #1: cost 0 inf + 1
4.212 * [simplify]: Simplified to 1
4.212 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.212 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.212 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
4.212 * * [simplify]: iters left: 6 (6 enodes)
4.214 * * [simplify]: iters left: 5 (23 enodes)
4.218 * * [simplify]: iters left: 4 (32 enodes)
4.222 * * [simplify]: iters left: 3 (34 enodes)
4.226 * * [simplify]: Extracting #0: cost 1 inf + 0
4.226 * * [simplify]: Extracting #1: cost 4 inf + 0
4.226 * * [simplify]: Extracting #2: cost 5 inf + 1
4.226 * * [simplify]: Extracting #3: cost 9 inf + 1
4.226 * * [simplify]: Extracting #4: cost 9 inf + 43
4.227 * * [simplify]: Extracting #5: cost 0 inf + 1098
4.227 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
4.227 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.227 * * * * [progress]: [ 39 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.227 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.227 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
4.227 * * [simplify]: iters left: 6 (7 enodes)
4.229 * * [simplify]: iters left: 5 (26 enodes)
4.233 * * [simplify]: iters left: 4 (35 enodes)
4.238 * * [simplify]: iters left: 3 (37 enodes)
4.243 * * [simplify]: Extracting #0: cost 1 inf + 0
4.243 * * [simplify]: Extracting #1: cost 3 inf + 0
4.243 * * [simplify]: Extracting #2: cost 6 inf + 0
4.243 * * [simplify]: Extracting #3: cost 7 inf + 1
4.243 * * [simplify]: Extracting #4: cost 11 inf + 1
4.243 * * [simplify]: Extracting #5: cost 8 inf + 249
4.243 * * [simplify]: Extracting #6: cost 3 inf + 836
4.243 * * [simplify]: Extracting #7: cost 1 inf + 1400
4.243 * * [simplify]: Extracting #8: cost 0 inf + 1702
4.244 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
4.244 * [simplify]: Simplified (2 1 1 1) to (λ (N) (* (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.244 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.244 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.244 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)))))>
4.244 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 48 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N))))))))>
4.244 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
4.244 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.245 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.245 * * [simplify]: iters left: 6 (8 enodes)
4.249 * * [simplify]: iters left: 5 (34 enodes)
4.259 * * [simplify]: iters left: 4 (45 enodes)
4.272 * * [simplify]: iters left: 3 (51 enodes)
4.287 * * [simplify]: iters left: 2 (57 enodes)
4.297 * * [simplify]: Extracting #0: cost 1 inf + 0
4.297 * * [simplify]: Extracting #1: cost 3 inf + 0
4.297 * * [simplify]: Extracting #2: cost 6 inf + 0
4.297 * * [simplify]: Extracting #3: cost 11 inf + 1
4.298 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.298 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.298 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.298 * [simplify]: Simplified (2 2 2) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.298 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.298 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.299 * * [simplify]: iters left: 6 (8 enodes)
4.301 * * [simplify]: iters left: 5 (34 enodes)
4.306 * * [simplify]: iters left: 4 (45 enodes)
4.312 * * [simplify]: iters left: 3 (51 enodes)
4.319 * * [simplify]: iters left: 2 (57 enodes)
4.326 * * [simplify]: Extracting #0: cost 1 inf + 0
4.326 * * [simplify]: Extracting #1: cost 3 inf + 0
4.326 * * [simplify]: Extracting #2: cost 6 inf + 0
4.326 * * [simplify]: Extracting #3: cost 11 inf + 1
4.326 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.326 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.327 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.327 * [simplify]: Simplified (2 2 2) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.327 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.327 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.327 * * [simplify]: iters left: 6 (8 enodes)
4.329 * * [simplify]: iters left: 5 (34 enodes)
4.335 * * [simplify]: iters left: 4 (45 enodes)
4.342 * * [simplify]: iters left: 3 (51 enodes)
4.348 * * [simplify]: iters left: 2 (57 enodes)
4.355 * * [simplify]: Extracting #0: cost 1 inf + 0
4.355 * * [simplify]: Extracting #1: cost 3 inf + 0
4.355 * * [simplify]: Extracting #2: cost 6 inf + 0
4.355 * * [simplify]: Extracting #3: cost 11 inf + 1
4.355 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.355 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.356 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.356 * [simplify]: Simplified (2 2 2) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.356 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.356 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.356 * * [simplify]: iters left: 6 (8 enodes)
4.358 * * [simplify]: iters left: 5 (34 enodes)
4.364 * * [simplify]: iters left: 4 (45 enodes)
4.375 * * [simplify]: iters left: 3 (51 enodes)
4.385 * * [simplify]: iters left: 2 (57 enodes)
4.391 * * [simplify]: Extracting #0: cost 1 inf + 0
4.392 * * [simplify]: Extracting #1: cost 3 inf + 0
4.392 * * [simplify]: Extracting #2: cost 6 inf + 0
4.392 * * [simplify]: Extracting #3: cost 11 inf + 1
4.392 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.392 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.392 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.393 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.393 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.393 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.393 * * [simplify]: iters left: 6 (8 enodes)
4.397 * * [simplify]: iters left: 5 (34 enodes)
4.402 * * [simplify]: iters left: 4 (45 enodes)
4.408 * * [simplify]: iters left: 3 (51 enodes)
4.418 * * [simplify]: iters left: 2 (57 enodes)
4.431 * * [simplify]: Extracting #0: cost 1 inf + 0
4.431 * * [simplify]: Extracting #1: cost 3 inf + 0
4.431 * * [simplify]: Extracting #2: cost 6 inf + 0
4.431 * * [simplify]: Extracting #3: cost 11 inf + 1
4.432 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.432 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.433 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.433 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.433 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.434 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.434 * * [simplify]: iters left: 6 (8 enodes)
4.439 * * [simplify]: iters left: 5 (34 enodes)
4.449 * * [simplify]: iters left: 4 (45 enodes)
4.462 * * [simplify]: iters left: 3 (51 enodes)
4.474 * * [simplify]: iters left: 2 (57 enodes)
4.482 * * [simplify]: Extracting #0: cost 1 inf + 0
4.482 * * [simplify]: Extracting #1: cost 3 inf + 0
4.482 * * [simplify]: Extracting #2: cost 6 inf + 0
4.482 * * [simplify]: Extracting #3: cost 11 inf + 1
4.483 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.483 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.483 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.483 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.483 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.484 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.484 * * [simplify]: iters left: 6 (8 enodes)
4.486 * * [simplify]: iters left: 5 (34 enodes)
4.491 * * [simplify]: iters left: 4 (45 enodes)
4.497 * * [simplify]: iters left: 3 (51 enodes)
4.503 * * [simplify]: iters left: 2 (57 enodes)
4.511 * * [simplify]: Extracting #0: cost 1 inf + 0
4.511 * * [simplify]: Extracting #1: cost 3 inf + 0
4.511 * * [simplify]: Extracting #2: cost 6 inf + 0
4.511 * * [simplify]: Extracting #3: cost 11 inf + 1
4.512 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.512 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.512 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.512 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.512 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.513 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.513 * * [simplify]: iters left: 6 (8 enodes)
4.516 * * [simplify]: iters left: 5 (34 enodes)
4.523 * * [simplify]: iters left: 4 (45 enodes)
4.531 * * [simplify]: iters left: 3 (51 enodes)
4.538 * * [simplify]: iters left: 2 (57 enodes)
4.545 * * [simplify]: Extracting #0: cost 1 inf + 0
4.545 * * [simplify]: Extracting #1: cost 3 inf + 0
4.545 * * [simplify]: Extracting #2: cost 6 inf + 0
4.545 * * [simplify]: Extracting #3: cost 11 inf + 1
4.545 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.546 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.546 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.546 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.546 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
4.546 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
4.546 * * [simplify]: iters left: 6 (8 enodes)
4.549 * * [simplify]: iters left: 5 (34 enodes)
4.554 * * [simplify]: iters left: 4 (45 enodes)
4.562 * * [simplify]: iters left: 3 (51 enodes)
4.574 * * [simplify]: iters left: 2 (57 enodes)
4.581 * * [simplify]: Extracting #0: cost 1 inf + 0
4.581 * * [simplify]: Extracting #1: cost 3 inf + 0
4.581 * * [simplify]: Extracting #2: cost 6 inf + 0
4.581 * * [simplify]: Extracting #3: cost 11 inf + 1
4.581 * * [simplify]: Extracting #4: cost 5 inf + 1620
4.582 * * [simplify]: Extracting #5: cost 0 inf + 1867
4.582 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
4.582 * [simplify]: Simplified (2 1 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
4.582 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.582 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
4.583 * * [simplify]: iters left: 6 (7 enodes)
4.585 * * [simplify]: iters left: 5 (31 enodes)
4.590 * * [simplify]: iters left: 4 (42 enodes)
4.596 * * [simplify]: iters left: 3 (48 enodes)
4.605 * * [simplify]: iters left: 2 (54 enodes)
4.615 * * [simplify]: Extracting #0: cost 1 inf + 0
4.615 * * [simplify]: Extracting #1: cost 4 inf + 0
4.615 * * [simplify]: Extracting #2: cost 9 inf + 1
4.616 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.616 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.616 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.616 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.616 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.616 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
4.616 * * [simplify]: iters left: 6 (7 enodes)
4.619 * * [simplify]: iters left: 5 (31 enodes)
4.624 * * [simplify]: iters left: 4 (42 enodes)
4.629 * * [simplify]: iters left: 3 (48 enodes)
4.635 * * [simplify]: iters left: 2 (54 enodes)
4.642 * * [simplify]: Extracting #0: cost 1 inf + 0
4.642 * * [simplify]: Extracting #1: cost 4 inf + 0
4.642 * * [simplify]: Extracting #2: cost 9 inf + 1
4.643 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.643 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.643 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.643 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.643 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
4.643 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
4.643 * * [simplify]: iters left: 6 (7 enodes)
4.646 * * [simplify]: iters left: 5 (31 enodes)
4.651 * * [simplify]: iters left: 4 (42 enodes)
4.660 * * [simplify]: iters left: 3 (48 enodes)
4.671 * * [simplify]: iters left: 2 (54 enodes)
4.683 * * [simplify]: Extracting #0: cost 1 inf + 0
4.683 * * [simplify]: Extracting #1: cost 4 inf + 0
4.683 * * [simplify]: Extracting #2: cost 9 inf + 1
4.683 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.684 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.684 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.684 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ N (+ (* N N) 1)))))))
4.685 * * * [progress]: adding candidates to table
5.268 * [progress]: [Phase 3 of 3] Extracting.
5.268 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
5.269 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
5.269 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
5.312 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>)
5.349 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
5.349 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.349 * * [simplify]: iters left: 6 (6 enodes)
5.350 * * [simplify]: iters left: 5 (11 enodes)
5.350 * * [simplify]: Extracting #0: cost 1 inf + 0
5.350 * * [simplify]: Extracting #1: cost 3 inf + 0
5.350 * * [simplify]: Extracting #2: cost 3 inf + 1
5.350 * * [simplify]: Extracting #3: cost 5 inf + 1
5.350 * * [simplify]: Extracting #4: cost 0 inf + 510
5.350 * [simplify]: Simplified to (atan2 1 (+ (* (+ N 1) N) 1))
7.668 * [regime-testing]: Baseline error score: 0.3337323185782937
7.671 * [regime-testing]: Oracle error score: 0.29610261486532946
7.678 * [regime-testing]: End program error score: 0.3337323185782937
7.725 * [regime-testing]: Target error score: 0.3355556668094127