0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.074 * * * [progress]: [2/2] Setting up program.
0.078 * [progress]: [Phase 2 of 3] Improving.
0.078 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.078 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.079 * * [simplify]: iters left: 5 (6 enodes)
0.082 * * [simplify]: iters left: 4 (23 enodes)
0.089 * * [simplify]: iters left: 3 (28 enodes)
0.098 * * [simplify]: Extracting #0: cost 1 inf + 0
0.098 * * [simplify]: Extracting #1: cost 5 inf + 0
0.098 * * [simplify]: Extracting #2: cost 10 inf + 0
0.098 * * [simplify]: Extracting #3: cost 11 inf + 1
0.098 * * [simplify]: Extracting #4: cost 6 inf + 298
0.098 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.099 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.099 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.099 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.103 * * [progress]: iteration 1 / 4
0.103 * * * [progress]: picking best candidate
0.105 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.105 * * * [progress]: localizing error
0.116 * * * [progress]: generating rewritten candidates
0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.120 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.122 * * * [progress]: generating series expansions
0.122 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.122 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.122 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.122 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.122 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.123 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.123 * [taylor]: Taking taylor expansion of (atan N) in N
0.123 * [backup-simplify]: Simplify (atan N) into (atan N)
0.123 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.123 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.123 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.123 * [taylor]: Taking taylor expansion of (atan N) in N
0.123 * [backup-simplify]: Simplify (atan N) into (atan N)
0.123 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.123 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.123 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify 0 into 0
0.125 * [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 (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 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 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.127 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.127 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.127 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
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)) in N
0.127 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.127 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
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)) in N
0.127 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.128 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.128 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.128 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (- 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.131 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.131 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.131 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.131 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.131 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.131 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.131 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.131 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.131 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.131 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.131 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.131 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.131 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.131 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.132 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (- 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (- 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.135 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.135 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.135 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.135 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.135 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.135 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.135 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.135 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.135 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.135 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.135 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.135 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.136 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.136 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.136 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.136 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.136 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.136 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.136 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.136 * * * [progress]: simplifying candidates
0.136 * * * * [progress]: [ 1 / 30 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.136 * [simplify]: Simplifying (- (+ N 1) N)
0.136 * * [simplify]: iters left: 4 (4 enodes)
0.138 * * [simplify]: iters left: 3 (19 enodes)
0.141 * * [simplify]: iters left: 2 (33 enodes)
0.147 * * [simplify]: iters left: 1 (39 enodes)
0.162 * * [simplify]: Extracting #0: cost 1 inf + 0
0.162 * * [simplify]: Extracting #1: cost 0 inf + 1
0.162 * [simplify]: Simplified to 1
0.162 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
0.162 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
0.162 * * [simplify]: iters left: 6 (5 enodes)
0.164 * * [simplify]: iters left: 5 (20 enodes)
0.167 * * [simplify]: iters left: 4 (29 enodes)
0.172 * * [simplify]: iters left: 3 (31 enodes)
0.176 * * [simplify]: Extracting #0: cost 1 inf + 0
0.176 * * [simplify]: Extracting #1: cost 4 inf + 0
0.176 * * [simplify]: Extracting #2: cost 7 inf + 1
0.177 * * [simplify]: Extracting #3: cost 2 inf + 493
0.177 * * [simplify]: Extracting #4: cost 0 inf + 574
0.177 * [simplify]: Simplified to (+ (* (+ N 1) N) 1)
0.177 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))
0.177 * * * * [progress]: [ 2 / 30 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.177 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
0.177 * * [simplify]: iters left: 6 (8 enodes)
0.179 * * [simplify]: iters left: 5 (29 enodes)
0.184 * * [simplify]: iters left: 4 (35 enodes)
0.189 * * [simplify]: iters left: 3 (40 enodes)
0.195 * * [simplify]: iters left: 2 (44 enodes)
0.201 * * [simplify]: iters left: 1 (48 enodes)
0.209 * * [simplify]: Extracting #0: cost 1 inf + 0
0.209 * * [simplify]: Extracting #1: cost 9 inf + 0
0.209 * * [simplify]: Extracting #2: cost 15 inf + 1
0.209 * * [simplify]: Extracting #3: cost 20 inf + 1
0.209 * * [simplify]: Extracting #4: cost 20 inf + 2
0.209 * * [simplify]: Extracting #5: cost 16 inf + 339
0.210 * * [simplify]: Extracting #6: cost 0 inf + 4059
0.210 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N)))
0.210 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
0.210 * * * * [progress]: [ 3 / 30 ] simplifiying candidate #<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)))))>
0.210 * * * * [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)))))>
0.210 * * * * [progress]: [ 7 / 30 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.210 * * * * [progress]: [ 8 / 30 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.210 * * * * [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))))))>
0.210 * * * * [progress]: [ 10 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.210 * * * * [progress]: [ 11 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.210 * * * * [progress]: [ 12 / 30 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.210 * * * * [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)
0.213 * * [simplify]: iters left: 5 (28 enodes)
0.217 * * [simplify]: iters left: 4 (30 enodes)
0.221 * * [simplify]: Extracting #0: cost 1 inf + 0
0.221 * * [simplify]: Extracting #1: cost 4 inf + 0
0.221 * * [simplify]: Extracting #2: cost 8 inf + 0
0.221 * * [simplify]: Extracting #3: cost 12 inf + 0
0.221 * * [simplify]: Extracting #4: cost 10 inf + 359
0.221 * * [simplify]: Extracting #5: cost 8 inf + 506
0.221 * * [simplify]: Extracting #6: cost 5 inf + 737
0.222 * * [simplify]: Extracting #7: cost 1 inf + 1630
0.222 * * [simplify]: Extracting #8: cost 0 inf + 2002
0.222 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
0.222 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
0.222 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
0.222 * * [simplify]: iters left: 6 (8 enodes)
0.224 * * [simplify]: iters left: 5 (29 enodes)
0.229 * * [simplify]: iters left: 4 (34 enodes)
0.234 * * [simplify]: Extracting #0: cost 1 inf + 0
0.234 * * [simplify]: Extracting #1: cost 5 inf + 0
0.234 * * [simplify]: Extracting #2: cost 10 inf + 0
0.234 * * [simplify]: Extracting #3: cost 14 inf + 0
0.234 * * [simplify]: Extracting #4: cost 15 inf + 1
0.234 * * [simplify]: Extracting #5: cost 13 inf + 108
0.234 * * [simplify]: Extracting #6: cost 5 inf + 1109
0.234 * * [simplify]: Extracting #7: cost 0 inf + 2374
0.235 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
0.235 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
0.235 * * * * [progress]: [ 14 / 30 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.235 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.235 * * [simplify]: iters left: 5 (6 enodes)
0.237 * * [simplify]: iters left: 4 (23 enodes)
0.240 * * [simplify]: iters left: 3 (28 enodes)
0.247 * * [simplify]: Extracting #0: cost 1 inf + 0
0.247 * * [simplify]: Extracting #1: cost 5 inf + 0
0.247 * * [simplify]: Extracting #2: cost 10 inf + 0
0.247 * * [simplify]: Extracting #3: cost 11 inf + 1
0.247 * * [simplify]: Extracting #4: cost 6 inf + 298
0.247 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.247 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.247 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.247 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
0.248 * * * * [progress]: [ 15 / 30 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.248 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.248 * * * * [progress]: [ 17 / 30 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.248 * * * * [progress]: [ 18 / 30 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 19 / 30 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 20 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 21 / 30 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 22 / 30 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 23 / 30 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.248 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.248 * * * * [progress]: [ 25 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.248 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.248 * * [simplify]: iters left: 5 (6 enodes)
0.250 * * [simplify]: iters left: 4 (23 enodes)
0.256 * * [simplify]: iters left: 3 (28 enodes)
0.264 * * [simplify]: Extracting #0: cost 1 inf + 0
0.264 * * [simplify]: Extracting #1: cost 5 inf + 0
0.264 * * [simplify]: Extracting #2: cost 10 inf + 0
0.264 * * [simplify]: Extracting #3: cost 11 inf + 1
0.264 * * [simplify]: Extracting #4: cost 6 inf + 298
0.264 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.265 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.265 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.265 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.265 * * * * [progress]: [ 26 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.266 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.266 * * [simplify]: iters left: 5 (6 enodes)
0.269 * * [simplify]: iters left: 4 (23 enodes)
0.276 * * [simplify]: iters left: 3 (28 enodes)
0.284 * * [simplify]: Extracting #0: cost 1 inf + 0
0.284 * * [simplify]: Extracting #1: cost 5 inf + 0
0.284 * * [simplify]: Extracting #2: cost 10 inf + 0
0.284 * * [simplify]: Extracting #3: cost 11 inf + 1
0.285 * * [simplify]: Extracting #4: cost 6 inf + 298
0.285 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.285 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.286 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.286 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.286 * * * * [progress]: [ 27 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.286 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.286 * * [simplify]: iters left: 5 (6 enodes)
0.289 * * [simplify]: iters left: 4 (23 enodes)
0.296 * * [simplify]: iters left: 3 (28 enodes)
0.304 * * [simplify]: Extracting #0: cost 1 inf + 0
0.304 * * [simplify]: Extracting #1: cost 5 inf + 0
0.304 * * [simplify]: Extracting #2: cost 10 inf + 0
0.304 * * [simplify]: Extracting #3: cost 11 inf + 1
0.305 * * [simplify]: Extracting #4: cost 6 inf + 298
0.305 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.305 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.306 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.306 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.306 * * * * [progress]: [ 28 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.306 * [simplify]: Simplifying (atan (+ N 1))
0.306 * * [simplify]: iters left: 3 (4 enodes)
0.308 * * [simplify]: iters left: 2 (15 enodes)
0.310 * * [simplify]: iters left: 1 (17 enodes)
0.312 * * [simplify]: Extracting #0: cost 1 inf + 0
0.313 * * [simplify]: Extracting #1: cost 3 inf + 0
0.313 * * [simplify]: Extracting #2: cost 6 inf + 0
0.313 * * [simplify]: Extracting #3: cost 2 inf + 86
0.313 * * [simplify]: Extracting #4: cost 1 inf + 233
0.313 * * [simplify]: Extracting #5: cost 0 inf + 380
0.313 * [simplify]: Simplified to (atan (+ 1 N))
0.313 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.313 * * * * [progress]: [ 29 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.313 * [simplify]: Simplifying (atan (+ N 1))
0.313 * * [simplify]: iters left: 3 (4 enodes)
0.314 * * [simplify]: iters left: 2 (15 enodes)
0.317 * * [simplify]: iters left: 1 (17 enodes)
0.319 * * [simplify]: Extracting #0: cost 1 inf + 0
0.319 * * [simplify]: Extracting #1: cost 3 inf + 0
0.319 * * [simplify]: Extracting #2: cost 6 inf + 0
0.319 * * [simplify]: Extracting #3: cost 2 inf + 86
0.319 * * [simplify]: Extracting #4: cost 1 inf + 233
0.320 * * [simplify]: Extracting #5: cost 0 inf + 380
0.320 * [simplify]: Simplified to (atan (+ 1 N))
0.320 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
0.320 * * * * [progress]: [ 30 / 30 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.320 * [simplify]: Simplifying (atan (+ N 1))
0.320 * * [simplify]: iters left: 3 (4 enodes)
0.321 * * [simplify]: iters left: 2 (15 enodes)
0.324 * * [simplify]: iters left: 1 (17 enodes)
0.326 * * [simplify]: Extracting #0: cost 1 inf + 0
0.327 * * [simplify]: Extracting #1: cost 3 inf + 0
0.327 * * [simplify]: Extracting #2: cost 6 inf + 0
0.327 * * [simplify]: Extracting #3: cost 2 inf + 86
0.327 * * [simplify]: Extracting #4: cost 1 inf + 233
0.327 * * [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]: adding candidates to table
0.502 * * [progress]: iteration 2 / 4
0.502 * * * [progress]: picking best candidate
0.504 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
0.504 * * * [progress]: localizing error
0.515 * * * [progress]: generating rewritten candidates
0.516 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.516 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.531 * * * [progress]: generating series expansions
0.531 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.531 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.531 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
0.531 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.532 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
0.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.532 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.532 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
0.532 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.532 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.532 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
0.532 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.533 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.533 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.533 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
0.533 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.533 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.533 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
0.533 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.533 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
0.534 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.534 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N)
0.534 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0
0.534 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
0.534 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.534 * [taylor]: Taking taylor expansion of N in N
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of 1 in N
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of N in N
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N
0.534 * [taylor]: Taking taylor expansion of (+ N 1) in N
0.534 * [taylor]: Taking taylor expansion of N in N
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of 1 in N
0.534 * [backup-simplify]: Simplify 1 into 1
0.534 * [taylor]: Taking taylor expansion of N in N
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (+ 0 1) into 1
0.535 * [backup-simplify]: Simplify (* 1 0) into 0
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (+ 1 0) into 1
0.536 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
0.536 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
0.546 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N)
0.547 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0
0.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.547 * [taylor]: Taking taylor expansion of N in N
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [taylor]: Taking taylor expansion of 1 in N
0.547 * [backup-simplify]: Simplify 1 into 1
0.547 * [taylor]: Taking taylor expansion of N in N
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (+ 1 0) into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N
0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N
0.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.548 * [taylor]: Taking taylor expansion of N in N
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [taylor]: Taking taylor expansion of 1 in N
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [taylor]: Taking taylor expansion of N in N
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (+ 1 0) into 1
0.550 * [backup-simplify]: Simplify (/ 1 1) into 1
0.550 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ 0 1) into 1
0.552 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
0.552 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ 0 0) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
0.573 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N))
0.573 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0
0.573 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
0.573 * [taylor]: Taking taylor expansion of -1 in N
0.573 * [backup-simplify]: Simplify -1 into -1
0.573 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
0.573 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.573 * [taylor]: Taking taylor expansion of 1 in N
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.573 * [taylor]: Taking taylor expansion of N in N
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (/ 1 1) into 1
0.574 * [taylor]: Taking taylor expansion of N in N
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (- 1) into -1
0.575 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.575 * [backup-simplify]: Simplify (/ -1 1) into -1
0.575 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N
0.575 * [taylor]: Taking taylor expansion of -1 in N
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N
0.575 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N
0.575 * [taylor]: Taking taylor expansion of 1 in N
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.575 * [taylor]: Taking taylor expansion of N in N
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (/ 1 1) into 1
0.576 * [taylor]: Taking taylor expansion of N in N
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (- 1) into -1
0.577 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.577 * [backup-simplify]: Simplify (/ -1 1) into -1
0.577 * [backup-simplify]: Simplify (* -1 -1) into 1
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- 0) into 0
0.579 * [backup-simplify]: Simplify (+ 1 0) into 1
0.580 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1
0.580 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1
0.580 * [backup-simplify]: Simplify -1 into -1
0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.582 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- 0) into 0
0.585 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- 0) into 0
0.590 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.594 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (- 0) into 0
0.599 * [backup-simplify]: Simplify (+ 0 0) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- 0) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0
0.607 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
0.607 * * * [progress]: simplifying candidates
0.607 * * * * [progress]: [ 1 / 36 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
0.607 * * * * [progress]: [ 2 / 36 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.608 * * * * [progress]: [ 3 / 36 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.608 * * * * [progress]: [ 4 / 36 ] 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))))))>
0.608 * * * * [progress]: [ 5 / 36 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.608 * * * * [progress]: [ 6 / 36 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.608 * * * * [progress]: [ 7 / 36 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
0.608 * * * * [progress]: [ 8 / 36 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))>
0.608 * * * * [progress]: [ 9 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
0.608 * [simplify]: Simplifying (* (+ N 1) N)
0.608 * * [simplify]: iters left: 4 (4 enodes)
0.611 * * [simplify]: iters left: 3 (16 enodes)
0.616 * * [simplify]: iters left: 2 (25 enodes)
0.621 * * [simplify]: iters left: 1 (27 enodes)
0.625 * * [simplify]: Extracting #0: cost 1 inf + 0
0.625 * * [simplify]: Extracting #1: cost 5 inf + 0
0.625 * * [simplify]: Extracting #2: cost 7 inf + 1
0.625 * * [simplify]: Extracting #3: cost 2 inf + 246
0.625 * * [simplify]: Extracting #4: cost 0 inf + 330
0.625 * [simplify]: Simplified to (+ (* N N) N)
0.625 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (pow (+ (* N N) N) 1))))
0.625 * * * * [progress]: [ 10 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
0.625 * * * * [progress]: [ 11 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ N 1)) (log N))))))>
0.625 * [simplify]: Simplifying (+ (log (+ N 1)) (log N))
0.625 * * [simplify]: iters left: 5 (6 enodes)
0.627 * * [simplify]: iters left: 4 (22 enodes)
0.630 * * [simplify]: iters left: 3 (24 enodes)
0.633 * * [simplify]: Extracting #0: cost 1 inf + 0
0.634 * * [simplify]: Extracting #1: cost 4 inf + 0
0.634 * * [simplify]: Extracting #2: cost 8 inf + 0
0.634 * * [simplify]: Extracting #3: cost 7 inf + 143
0.634 * * [simplify]: Extracting #4: cost 6 inf + 144
0.634 * * [simplify]: Extracting #5: cost 0 inf + 896
0.634 * [simplify]: Simplified to (+ (log (+ 1 N)) (log N))
0.634 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ 1 N)) (log N))))))
0.634 * * * * [progress]: [ 12 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
0.634 * * * * [progress]: [ 13 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
0.634 * * * * [progress]: [ 14 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))))))>
0.634 * [simplify]: Simplifying (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))
0.634 * * [simplify]: iters left: 6 (8 enodes)
0.637 * * [simplify]: iters left: 5 (46 enodes)
0.648 * * [simplify]: iters left: 4 (112 enodes)
0.696 * * [simplify]: iters left: 3 (266 enodes)
0.890 * * [simplify]: Extracting #0: cost 1 inf + 0
0.890 * * [simplify]: Extracting #1: cost 41 inf + 0
0.894 * * [simplify]: Extracting #2: cost 143 inf + 44
0.898 * * [simplify]: Extracting #3: cost 121 inf + 6793
0.909 * * [simplify]: Extracting #4: cost 8 inf + 29851
0.917 * * [simplify]: Extracting #5: cost 0 inf + 31580
0.924 * * [simplify]: Extracting #6: cost 0 inf + 31540
0.931 * [simplify]: Simplified to (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N)))
0.931 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (cbrt (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N)))))))
0.932 * * * * [progress]: [ 15 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
0.932 * * * * [progress]: [ 16 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
0.932 * * * * [progress]: [ 17 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
0.932 * * * * [progress]: [ 18 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
0.932 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))>
0.932 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N))
0.932 * * [simplify]: iters left: 5 (6 enodes)
0.934 * * [simplify]: iters left: 4 (22 enodes)
0.938 * * [simplify]: iters left: 3 (24 enodes)
0.941 * * [simplify]: Extracting #0: cost 1 inf + 0
0.941 * * [simplify]: Extracting #1: cost 4 inf + 0
0.941 * * [simplify]: Extracting #2: cost 8 inf + 0
0.941 * * [simplify]: Extracting #3: cost 7 inf + 83
0.942 * * [simplify]: Extracting #4: cost 6 inf + 84
0.942 * * [simplify]: Extracting #5: cost 0 inf + 656
0.942 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N))
0.942 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ 1 N)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N))))))
0.942 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N))
0.942 * * [simplify]: iters left: 5 (6 enodes)
0.945 * * [simplify]: iters left: 4 (22 enodes)
0.952 * * [simplify]: iters left: 3 (24 enodes)
0.960 * * [simplify]: Extracting #0: cost 1 inf + 0
0.960 * * [simplify]: Extracting #1: cost 4 inf + 0
0.960 * * [simplify]: Extracting #2: cost 8 inf + 0
0.960 * * [simplify]: Extracting #3: cost 7 inf + 83
0.960 * * [simplify]: Extracting #4: cost 6 inf + 84
0.960 * * [simplify]: Extracting #5: cost 0 inf + 656
0.961 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N))
0.961 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ 1 N)) (sqrt N))))))
0.961 * * * * [progress]: [ 20 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))>
0.961 * [simplify]: Simplifying (cbrt N)
0.961 * * [simplify]: iters left: 1 (2 enodes)
0.962 * * [simplify]: Extracting #0: cost 1 inf + 0
0.962 * * [simplify]: Extracting #1: cost 3 inf + 0
0.962 * * [simplify]: Extracting #2: cost 2 inf + 1
0.962 * * [simplify]: Extracting #3: cost 0 inf + 163
0.962 * [simplify]: Simplified to (cbrt N)
0.962 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N)))))
0.962 * * * * [progress]: [ 21 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))>
0.962 * [simplify]: Simplifying (sqrt N)
0.963 * * [simplify]: iters left: 1 (2 enodes)
0.963 * * [simplify]: Extracting #0: cost 1 inf + 0
0.963 * * [simplify]: Extracting #1: cost 3 inf + 0
0.963 * * [simplify]: Extracting #2: cost 2 inf + 1
0.963 * * [simplify]: Extracting #3: cost 0 inf + 83
0.964 * [simplify]: Simplified to (sqrt N)
0.964 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N)))))
0.964 * * * * [progress]: [ 22 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) 1) N))))>
0.964 * * * * [progress]: [ 23 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
0.964 * [simplify]: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1)))
0.964 * * [simplify]: iters left: 5 (5 enodes)
0.967 * * [simplify]: iters left: 4 (18 enodes)
0.973 * * [simplify]: iters left: 3 (20 enodes)
0.978 * * [simplify]: Extracting #0: cost 1 inf + 0
0.978 * * [simplify]: Extracting #1: cost 3 inf + 0
0.978 * * [simplify]: Extracting #2: cost 5 inf + 0
0.978 * * [simplify]: Extracting #3: cost 8 inf + 0
0.978 * * [simplify]: Extracting #4: cost 6 inf + 2
0.979 * * [simplify]: Extracting #5: cost 0 inf + 654
0.979 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
0.979 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N)))))
0.979 * * * * [progress]: [ 24 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
0.979 * [simplify]: Simplifying (sqrt (+ N 1))
0.979 * * [simplify]: iters left: 3 (4 enodes)
0.981 * * [simplify]: iters left: 2 (15 enodes)
0.986 * * [simplify]: iters left: 1 (17 enodes)
0.991 * * [simplify]: Extracting #0: cost 1 inf + 0
0.991 * * [simplify]: Extracting #1: cost 3 inf + 0
0.991 * * [simplify]: Extracting #2: cost 6 inf + 0
0.991 * * [simplify]: Extracting #3: cost 2 inf + 86
0.991 * * [simplify]: Extracting #4: cost 1 inf + 168
0.991 * * [simplify]: Extracting #5: cost 0 inf + 250
0.991 * [simplify]: Simplified to (sqrt (+ 1 N))
0.991 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N)))))
0.992 * * * * [progress]: [ 25 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
0.992 * * * * [progress]: [ 26 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
0.992 * * * * [progress]: [ 27 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
0.992 * [simplify]: Simplifying (* (+ (pow N 3) (pow 1 3)) N)
0.992 * * [simplify]: iters left: 5 (7 enodes)
0.997 * * [simplify]: iters left: 4 (33 enodes)
1.010 * * [simplify]: iters left: 3 (61 enodes)
1.024 * * [simplify]: iters left: 2 (97 enodes)
1.043 * * [simplify]: iters left: 1 (165 enodes)
1.078 * * [simplify]: Extracting #0: cost 1 inf + 0
1.078 * * [simplify]: Extracting #1: cost 5 inf + 0
1.078 * * [simplify]: Extracting #2: cost 19 inf + 1
1.078 * * [simplify]: Extracting #3: cost 47 inf + 256
1.079 * * [simplify]: Extracting #4: cost 32 inf + 2796
1.081 * * [simplify]: Extracting #5: cost 4 inf + 11668
1.084 * * [simplify]: Extracting #6: cost 1 inf + 12515
1.086 * * [simplify]: Extracting #7: cost 0 inf + 12727
1.088 * [simplify]: Simplified to (+ (* (* N N) (* N N)) N)
1.088 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))
1.089 * * * * [progress]: [ 28 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
1.089 * [simplify]: Simplifying (* (- (* N N) (* 1 1)) N)
1.089 * * [simplify]: iters left: 6 (6 enodes)
1.093 * * [simplify]: iters left: 5 (22 enodes)
1.098 * * [simplify]: iters left: 4 (29 enodes)
1.105 * * [simplify]: iters left: 3 (40 enodes)
1.112 * * [simplify]: iters left: 2 (78 enodes)
1.130 * * [simplify]: iters left: 1 (136 enodes)
1.168 * * [simplify]: Extracting #0: cost 1 inf + 0
1.169 * * [simplify]: Extracting #1: cost 13 inf + 0
1.169 * * [simplify]: Extracting #2: cost 48 inf + 1
1.169 * * [simplify]: Extracting #3: cost 36 inf + 864
1.171 * * [simplify]: Extracting #4: cost 0 inf + 4172
1.174 * * [simplify]: Extracting #5: cost 0 inf + 4168
1.176 * [simplify]: Simplified to (- (* N (* N N)) N)
1.176 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (* N (* N N)) N) (- N 1)))))
1.176 * * * * [progress]: [ 29 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (posit16->real (real->posit16 (* (+ N 1) N))))))>
1.176 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
1.177 * * * * [progress]: [ 31 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.177 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.177 * * [simplify]: iters left: 6 (7 enodes)
1.181 * * [simplify]: iters left: 5 (31 enodes)
1.189 * * [simplify]: iters left: 4 (42 enodes)
1.195 * * [simplify]: iters left: 3 (48 enodes)
1.201 * * [simplify]: iters left: 2 (54 enodes)
1.211 * * [simplify]: Extracting #0: cost 1 inf + 0
1.211 * * [simplify]: Extracting #1: cost 4 inf + 0
1.211 * * [simplify]: Extracting #2: cost 9 inf + 1
1.211 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.211 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.211 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.211 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.211 * * * * [progress]: [ 32 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.212 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.212 * * [simplify]: iters left: 6 (7 enodes)
1.214 * * [simplify]: iters left: 5 (31 enodes)
1.223 * * [simplify]: iters left: 4 (42 enodes)
1.235 * * [simplify]: iters left: 3 (48 enodes)
1.247 * * [simplify]: iters left: 2 (54 enodes)
1.261 * * [simplify]: Extracting #0: cost 1 inf + 0
1.261 * * [simplify]: Extracting #1: cost 4 inf + 0
1.261 * * [simplify]: Extracting #2: cost 9 inf + 1
1.261 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.262 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.263 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.263 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.263 * * * * [progress]: [ 33 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.263 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
1.263 * * [simplify]: iters left: 6 (7 enodes)
1.267 * * [simplify]: iters left: 5 (31 enodes)
1.276 * * [simplify]: iters left: 4 (42 enodes)
1.285 * * [simplify]: iters left: 3 (48 enodes)
1.292 * * [simplify]: iters left: 2 (54 enodes)
1.298 * * [simplify]: Extracting #0: cost 1 inf + 0
1.298 * * [simplify]: Extracting #1: cost 4 inf + 0
1.298 * * [simplify]: Extracting #2: cost 9 inf + 1
1.298 * * [simplify]: Extracting #3: cost 5 inf + 1016
1.298 * * [simplify]: Extracting #4: cost 0 inf + 1263
1.299 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
1.299 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
1.299 * * * * [progress]: [ 34 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.299 * [simplify]: Simplifying (+ N (pow N 2))
1.299 * * [simplify]: iters left: 3 (4 enodes)
1.300 * * [simplify]: iters left: 2 (18 enodes)
1.303 * * [simplify]: iters left: 1 (24 enodes)
1.307 * * [simplify]: Extracting #0: cost 1 inf + 0
1.307 * * [simplify]: Extracting #1: cost 5 inf + 0
1.307 * * [simplify]: Extracting #2: cost 8 inf + 1
1.307 * * [simplify]: Extracting #3: cost 2 inf + 247
1.307 * * [simplify]: Extracting #4: cost 0 inf + 331
1.307 * [simplify]: Simplified to (+ N (* N N))
1.307 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
1.308 * * * * [progress]: [ 35 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.308 * [simplify]: Simplifying (+ N (pow N 2))
1.308 * * [simplify]: iters left: 3 (4 enodes)
1.309 * * [simplify]: iters left: 2 (18 enodes)
1.312 * * [simplify]: iters left: 1 (24 enodes)
1.316 * * [simplify]: Extracting #0: cost 1 inf + 0
1.316 * * [simplify]: Extracting #1: cost 5 inf + 0
1.316 * * [simplify]: Extracting #2: cost 8 inf + 1
1.316 * * [simplify]: Extracting #3: cost 2 inf + 247
1.317 * * [simplify]: Extracting #4: cost 0 inf + 331
1.317 * [simplify]: Simplified to (+ N (* N N))
1.317 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
1.317 * * * * [progress]: [ 36 / 36 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
1.317 * [simplify]: Simplifying (+ N (pow N 2))
1.317 * * [simplify]: iters left: 3 (4 enodes)
1.320 * * [simplify]: iters left: 2 (18 enodes)
1.328 * * [simplify]: iters left: 1 (24 enodes)
1.335 * * [simplify]: Extracting #0: cost 1 inf + 0
1.335 * * [simplify]: Extracting #1: cost 5 inf + 0
1.335 * * [simplify]: Extracting #2: cost 8 inf + 1
1.335 * * [simplify]: Extracting #3: cost 2 inf + 247
1.335 * * [simplify]: Extracting #4: cost 0 inf + 331
1.335 * [simplify]: Simplified to (+ N (* N N))
1.335 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
1.335 * * * [progress]: adding candidates to table
1.643 * * [progress]: iteration 3 / 4
1.643 * * * [progress]: picking best candidate
1.655 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.655 * * * [progress]: localizing error
1.691 * * * [progress]: generating rewritten candidates
1.691 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.696 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.713 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
1.715 * * * [progress]: generating series expansions
1.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.715 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.715 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
1.715 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
1.715 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.715 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.716 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.716 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
1.716 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.716 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.716 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.717 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.717 * [backup-simplify]: Simplify 0 into 0
1.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.718 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.719 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.720 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.721 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.723 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.723 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
1.723 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
1.723 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.723 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.723 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.723 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
1.723 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.723 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.723 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.724 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.724 * [backup-simplify]: Simplify 0 into 0
1.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.724 * [backup-simplify]: Simplify 0 into 0
1.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.725 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.729 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.730 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.731 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.731 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
1.731 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
1.731 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.732 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.732 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.732 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
1.732 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.732 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.732 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.732 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.732 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.733 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.734 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.735 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.736 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.736 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
1.736 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
1.736 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.736 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.737 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.737 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
1.737 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.737 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.737 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.737 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.737 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.738 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.741 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.741 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
1.741 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
1.741 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.741 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.741 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.741 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
1.741 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.741 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.741 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.741 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.742 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.743 * [backup-simplify]: Simplify 0 into 0
1.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.744 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
1.745 * [backup-simplify]: Simplify 0 into 0
1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.745 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
1.745 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
1.745 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.745 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.745 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.746 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
1.746 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.746 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.746 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.746 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
1.746 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.747 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.748 * [backup-simplify]: Simplify 0 into 0
1.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.749 * [backup-simplify]: Simplify 0 into 0
1.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
1.749 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
1.750 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.750 * [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)))
1.750 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
1.750 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.750 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.750 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.750 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.750 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.751 * [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)))
1.751 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
1.751 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.751 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.751 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.751 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.751 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.751 * [backup-simplify]: Simplify 0 into 0
1.751 * [backup-simplify]: Simplify 0 into 0
1.751 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.752 * [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)))
1.752 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
1.752 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.753 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.753 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.753 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.753 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.754 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
1.754 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.754 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
1.754 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.754 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.754 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
1.755 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.755 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.755 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.755 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
1.755 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.756 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.756 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
1.756 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.756 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.757 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.757 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
1.757 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.757 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.757 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
1.757 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.757 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
1.758 * * * [progress]: simplifying candidates
1.758 * * * * [progress]: [ 1 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
1.758 * * * * [progress]: [ 2 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
1.758 * * * * [progress]: [ 3 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.758 * * * * [progress]: [ 4 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
1.758 * * * * [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))))))))>
1.758 * * * * [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))))))))>
1.759 * * * * [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))))))))>
1.759 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.759 * * [simplify]: iters left: 6 (9 enodes)
1.764 * * [simplify]: iters left: 5 (33 enodes)
1.774 * * [simplify]: iters left: 4 (42 enodes)
1.786 * * [simplify]: iters left: 3 (44 enodes)
1.798 * * [simplify]: Extracting #0: cost 1 inf + 0
1.798 * * [simplify]: Extracting #1: cost 4 inf + 0
1.798 * * [simplify]: Extracting #2: cost 7 inf + 0
1.798 * * [simplify]: Extracting #3: cost 10 inf + 0
1.798 * * [simplify]: Extracting #4: cost 11 inf + 1
1.798 * * [simplify]: Extracting #5: cost 15 inf + 1
1.798 * * [simplify]: Extracting #6: cost 15 inf + 43
1.799 * * [simplify]: Extracting #7: cost 11 inf + 249
1.799 * * [simplify]: Extracting #8: cost 7 inf + 836
1.800 * * [simplify]: Extracting #9: cost 0 inf + 3310
1.801 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
1.801 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
1.801 * * * * [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))))))))>
1.801 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
1.801 * * [simplify]: iters left: 6 (8 enodes)
1.804 * * [simplify]: iters left: 5 (29 enodes)
1.809 * * [simplify]: iters left: 4 (38 enodes)
1.815 * * [simplify]: iters left: 3 (40 enodes)
1.820 * * [simplify]: Extracting #0: cost 1 inf + 0
1.820 * * [simplify]: Extracting #1: cost 3 inf + 0
1.820 * * [simplify]: Extracting #2: cost 5 inf + 0
1.820 * * [simplify]: Extracting #3: cost 8 inf + 0
1.820 * * [simplify]: Extracting #4: cost 9 inf + 1
1.820 * * [simplify]: Extracting #5: cost 13 inf + 1
1.820 * * [simplify]: Extracting #6: cost 14 inf + 2
1.820 * * [simplify]: Extracting #7: cost 9 inf + 249
1.821 * * [simplify]: Extracting #8: cost 5 inf + 836
1.821 * * [simplify]: Extracting #9: cost 1 inf + 2044
1.821 * * [simplify]: Extracting #10: cost 0 inf + 2386
1.821 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
1.821 * [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))))))))
1.822 * * * * [progress]: [ 9 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.822 * [simplify]: Simplifying (sqrt 1)
1.822 * * [simplify]: iters left: 1 (2 enodes)
1.824 * * [simplify]: Extracting #0: cost 1 inf + 0
1.824 * * [simplify]: Extracting #1: cost 0 inf + 1
1.824 * [simplify]: Simplified to 1
1.824 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
1.824 * * * * [progress]: [ 10 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))>
1.824 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.824 * * [simplify]: iters left: 6 (6 enodes)
1.826 * * [simplify]: iters left: 5 (23 enodes)
1.829 * * [simplify]: iters left: 4 (32 enodes)
1.838 * * [simplify]: iters left: 3 (34 enodes)
1.847 * * [simplify]: Extracting #0: cost 1 inf + 0
1.847 * * [simplify]: Extracting #1: cost 4 inf + 0
1.847 * * [simplify]: Extracting #2: cost 5 inf + 1
1.847 * * [simplify]: Extracting #3: cost 9 inf + 1
1.847 * * [simplify]: Extracting #4: cost 9 inf + 43
1.847 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.848 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.848 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))))
1.848 * * * * [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))))))))>
1.848 * * * * [progress]: [ 12 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.851 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.851 * * [simplify]: iters left: 6 (7 enodes)
1.853 * * [simplify]: iters left: 5 (26 enodes)
1.858 * * [simplify]: iters left: 4 (35 enodes)
1.863 * * [simplify]: iters left: 3 (37 enodes)
1.868 * * [simplify]: Extracting #0: cost 1 inf + 0
1.868 * * [simplify]: Extracting #1: cost 3 inf + 0
1.868 * * [simplify]: Extracting #2: cost 6 inf + 0
1.868 * * [simplify]: Extracting #3: cost 7 inf + 1
1.868 * * [simplify]: Extracting #4: cost 11 inf + 1
1.868 * * [simplify]: Extracting #5: cost 8 inf + 249
1.868 * * [simplify]: Extracting #6: cost 3 inf + 836
1.869 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.869 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.869 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.869 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))))
1.869 * * * * [progress]: [ 13 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
1.869 * * * * [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))))))))>
1.869 * * * * [progress]: [ 15 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.869 * * * * [progress]: [ 16 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.869 * * * * [progress]: [ 17 / 98 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.870 * * * * [progress]: [ 18 / 98 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.870 * * * * [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))))))>
1.870 * * * * [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))))))>
1.870 * * * * [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))))))>
1.870 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.870 * * [simplify]: iters left: 6 (9 enodes)
1.872 * * [simplify]: iters left: 5 (33 enodes)
1.877 * * [simplify]: iters left: 4 (42 enodes)
1.887 * * [simplify]: iters left: 3 (44 enodes)
1.897 * * [simplify]: Extracting #0: cost 1 inf + 0
1.897 * * [simplify]: Extracting #1: cost 4 inf + 0
1.897 * * [simplify]: Extracting #2: cost 7 inf + 0
1.897 * * [simplify]: Extracting #3: cost 10 inf + 0
1.897 * * [simplify]: Extracting #4: cost 11 inf + 1
1.897 * * [simplify]: Extracting #5: cost 15 inf + 1
1.897 * * [simplify]: Extracting #6: cost 15 inf + 43
1.897 * * [simplify]: Extracting #7: cost 11 inf + 249
1.897 * * [simplify]: Extracting #8: cost 7 inf + 836
1.898 * * [simplify]: Extracting #9: cost 0 inf + 3310
1.898 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
1.898 * [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))))))
1.898 * * * * [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))))))>
1.898 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
1.898 * * [simplify]: iters left: 6 (8 enodes)
1.900 * * [simplify]: iters left: 5 (29 enodes)
1.905 * * [simplify]: iters left: 4 (38 enodes)
1.911 * * [simplify]: iters left: 3 (40 enodes)
1.917 * * [simplify]: Extracting #0: cost 1 inf + 0
1.917 * * [simplify]: Extracting #1: cost 3 inf + 0
1.917 * * [simplify]: Extracting #2: cost 5 inf + 0
1.917 * * [simplify]: Extracting #3: cost 8 inf + 0
1.917 * * [simplify]: Extracting #4: cost 9 inf + 1
1.917 * * [simplify]: Extracting #5: cost 13 inf + 1
1.917 * * [simplify]: Extracting #6: cost 14 inf + 2
1.917 * * [simplify]: Extracting #7: cost 9 inf + 249
1.917 * * [simplify]: Extracting #8: cost 5 inf + 836
1.917 * * [simplify]: Extracting #9: cost 1 inf + 2044
1.918 * * [simplify]: Extracting #10: cost 0 inf + 2386
1.918 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
1.918 * [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))))))
1.918 * * * * [progress]: [ 23 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.918 * [simplify]: Simplifying (sqrt 1)
1.918 * * [simplify]: iters left: 1 (2 enodes)
1.921 * * [simplify]: Extracting #0: cost 1 inf + 0
1.921 * * [simplify]: Extracting #1: cost 0 inf + 1
1.921 * [simplify]: Simplified to 1
1.921 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.921 * * * * [progress]: [ 24 / 98 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.921 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.921 * * [simplify]: iters left: 6 (6 enodes)
1.923 * * [simplify]: iters left: 5 (23 enodes)
1.930 * * [simplify]: iters left: 4 (32 enodes)
1.939 * * [simplify]: iters left: 3 (34 enodes)
1.948 * * [simplify]: Extracting #0: cost 1 inf + 0
1.948 * * [simplify]: Extracting #1: cost 4 inf + 0
1.948 * * [simplify]: Extracting #2: cost 5 inf + 1
1.948 * * [simplify]: Extracting #3: cost 9 inf + 1
1.948 * * [simplify]: Extracting #4: cost 9 inf + 43
1.949 * * [simplify]: Extracting #5: cost 0 inf + 1098
1.949 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
1.949 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.949 * * * * [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))))))>
1.949 * * * * [progress]: [ 26 / 98 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.950 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
1.950 * * [simplify]: iters left: 6 (7 enodes)
1.953 * * [simplify]: iters left: 5 (26 enodes)
1.964 * * [simplify]: iters left: 4 (35 enodes)
1.974 * * [simplify]: iters left: 3 (37 enodes)
1.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1.984 * * [simplify]: Extracting #1: cost 3 inf + 0
1.984 * * [simplify]: Extracting #2: cost 6 inf + 0
1.984 * * [simplify]: Extracting #3: cost 7 inf + 1
1.984 * * [simplify]: Extracting #4: cost 11 inf + 1
1.984 * * [simplify]: Extracting #5: cost 8 inf + 249
1.984 * * [simplify]: Extracting #6: cost 3 inf + 836
1.985 * * [simplify]: Extracting #7: cost 1 inf + 1400
1.985 * * [simplify]: Extracting #8: cost 0 inf + 1702
1.986 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
1.986 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
1.986 * * * * [progress]: [ 27 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
1.986 * * * * [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))))))>
1.986 * * * * [progress]: [ 29 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
1.986 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
1.986 * * [simplify]: iters left: 6 (6 enodes)
1.990 * * [simplify]: iters left: 5 (23 enodes)
1.997 * * [simplify]: iters left: 4 (32 enodes)
2.007 * * [simplify]: iters left: 3 (34 enodes)
2.013 * * [simplify]: Extracting #0: cost 1 inf + 0
2.013 * * [simplify]: Extracting #1: cost 4 inf + 0
2.013 * * [simplify]: Extracting #2: cost 5 inf + 1
2.013 * * [simplify]: Extracting #3: cost 9 inf + 1
2.013 * * [simplify]: Extracting #4: cost 9 inf + 43
2.013 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.014 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.014 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 1/2)))
2.014 * [simplify]: Simplifying (+ 1/2 1/2)
2.014 * * [simplify]: iters left: 2 (2 enodes)
2.015 * * [simplify]: iters left: 1 (7 enodes)
2.017 * * [simplify]: Extracting #0: cost 1 inf + 0
2.017 * * [simplify]: Extracting #1: cost 0 inf + 1
2.017 * [simplify]: Simplified to 1
2.017 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.017 * * * * [progress]: [ 30 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (/ 1 2))))>
2.017 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
2.017 * * [simplify]: iters left: 6 (6 enodes)
2.019 * * [simplify]: iters left: 5 (23 enodes)
2.022 * * [simplify]: iters left: 4 (32 enodes)
2.028 * * [simplify]: iters left: 3 (34 enodes)
2.032 * * [simplify]: Extracting #0: cost 1 inf + 0
2.032 * * [simplify]: Extracting #1: cost 4 inf + 0
2.032 * * [simplify]: Extracting #2: cost 5 inf + 1
2.032 * * [simplify]: Extracting #3: cost 9 inf + 1
2.032 * * [simplify]: Extracting #4: cost 9 inf + 43
2.032 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.032 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.032 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (/ 1 2))))
2.033 * [simplify]: Simplifying (+ 1/2 (/ 1 2))
2.033 * * [simplify]: iters left: 4 (5 enodes)
2.036 * * [simplify]: iters left: 3 (18 enodes)
2.040 * * [simplify]: iters left: 2 (20 enodes)
2.043 * * [simplify]: Extracting #0: cost 1 inf + 0
2.043 * * [simplify]: Extracting #1: cost 0 inf + 1
2.043 * [simplify]: Simplified to 1
2.043 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.043 * * * * [progress]: [ 31 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
2.043 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
2.043 * * [simplify]: iters left: 6 (7 enodes)
2.045 * * [simplify]: iters left: 5 (26 enodes)
2.049 * * [simplify]: iters left: 4 (35 enodes)
2.054 * * [simplify]: iters left: 3 (37 enodes)
2.060 * * [simplify]: Extracting #0: cost 1 inf + 0
2.060 * * [simplify]: Extracting #1: cost 3 inf + 0
2.060 * * [simplify]: Extracting #2: cost 6 inf + 0
2.060 * * [simplify]: Extracting #3: cost 7 inf + 1
2.060 * * [simplify]: Extracting #4: cost 11 inf + 1
2.060 * * [simplify]: Extracting #5: cost 8 inf + 249
2.060 * * [simplify]: Extracting #6: cost 3 inf + 836
2.060 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.061 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.061 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
2.061 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 1)))
2.061 * [simplify]: Simplifying (+ 1 1)
2.061 * * [simplify]: iters left: 2 (2 enodes)
2.063 * * [simplify]: iters left: 1 (9 enodes)
2.064 * * [simplify]: Extracting #0: cost 1 inf + 0
2.064 * * [simplify]: Extracting #1: cost 0 inf + 1
2.064 * [simplify]: Simplified to 2
2.064 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
2.065 * * * * [progress]: [ 32 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) 1/2)))>
2.065 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
2.065 * * [simplify]: iters left: 6 (6 enodes)
2.066 * * [simplify]: iters left: 5 (23 enodes)
2.073 * * [simplify]: iters left: 4 (32 enodes)
2.078 * * [simplify]: iters left: 3 (34 enodes)
2.083 * * [simplify]: Extracting #0: cost 1 inf + 0
2.083 * * [simplify]: Extracting #1: cost 4 inf + 0
2.083 * * [simplify]: Extracting #2: cost 5 inf + 1
2.083 * * [simplify]: Extracting #3: cost 9 inf + 1
2.083 * * [simplify]: Extracting #4: cost 9 inf + 43
2.083 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.083 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.083 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) 1/2)))
2.083 * [simplify]: Simplifying (+ (/ 1 2) 1/2)
2.083 * * [simplify]: iters left: 4 (5 enodes)
2.088 * * [simplify]: iters left: 3 (18 enodes)
2.091 * * [simplify]: iters left: 2 (20 enodes)
2.097 * * [simplify]: Extracting #0: cost 1 inf + 0
2.097 * * [simplify]: Extracting #1: cost 0 inf + 1
2.097 * [simplify]: Simplified to 1
2.097 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.097 * * * * [progress]: [ 33 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (/ 1 2))))>
2.097 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
2.097 * * [simplify]: iters left: 6 (6 enodes)
2.101 * * [simplify]: iters left: 5 (23 enodes)
2.108 * * [simplify]: iters left: 4 (32 enodes)
2.117 * * [simplify]: iters left: 3 (34 enodes)
2.122 * * [simplify]: Extracting #0: cost 1 inf + 0
2.122 * * [simplify]: Extracting #1: cost 4 inf + 0
2.122 * * [simplify]: Extracting #2: cost 5 inf + 1
2.122 * * [simplify]: Extracting #3: cost 9 inf + 1
2.122 * * [simplify]: Extracting #4: cost 9 inf + 43
2.123 * * [simplify]: Extracting #5: cost 0 inf + 1098
2.123 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.123 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (/ 1 2))))
2.123 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2))
2.123 * * [simplify]: iters left: 4 (4 enodes)
2.125 * * [simplify]: iters left: 3 (15 enodes)
2.128 * * [simplify]: iters left: 2 (17 enodes)
2.130 * * [simplify]: Extracting #0: cost 1 inf + 0
2.131 * * [simplify]: Extracting #1: cost 0 inf + 1
2.131 * [simplify]: Simplified to 1
2.131 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
2.131 * * * * [progress]: [ 34 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
2.131 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
2.131 * * [simplify]: iters left: 6 (7 enodes)
2.133 * * [simplify]: iters left: 5 (26 enodes)
2.137 * * [simplify]: iters left: 4 (35 enodes)
2.142 * * [simplify]: iters left: 3 (37 enodes)
2.147 * * [simplify]: Extracting #0: cost 1 inf + 0
2.147 * * [simplify]: Extracting #1: cost 3 inf + 0
2.147 * * [simplify]: Extracting #2: cost 6 inf + 0
2.147 * * [simplify]: Extracting #3: cost 7 inf + 1
2.147 * * [simplify]: Extracting #4: cost 11 inf + 1
2.148 * * [simplify]: Extracting #5: cost 8 inf + 249
2.148 * * [simplify]: Extracting #6: cost 3 inf + 836
2.148 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.148 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.148 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
2.148 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 1/2))
2.149 * * * * [progress]: [ 35 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
2.149 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.149 * * [simplify]: iters left: 6 (8 enodes)
2.151 * * [simplify]: iters left: 5 (27 enodes)
2.155 * * [simplify]: iters left: 4 (37 enodes)
2.160 * * [simplify]: iters left: 3 (39 enodes)
2.167 * * [simplify]: Extracting #0: cost 1 inf + 0
2.167 * * [simplify]: Extracting #1: cost 5 inf + 0
2.167 * * [simplify]: Extracting #2: cost 7 inf + 1
2.167 * * [simplify]: Extracting #3: cost 11 inf + 1
2.167 * * [simplify]: Extracting #4: cost 11 inf + 43
2.167 * * [simplify]: Extracting #5: cost 7 inf + 249
2.168 * * [simplify]: Extracting #6: cost 3 inf + 836
2.168 * * [simplify]: Extracting #7: cost 0 inf + 1702
2.168 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.168 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) 1))
2.168 * * * * [progress]: [ 36 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (/ 1 2)))>
2.168 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
2.168 * * [simplify]: iters left: 6 (7 enodes)
2.170 * * [simplify]: iters left: 5 (26 enodes)
2.175 * * [simplify]: iters left: 4 (35 enodes)
2.180 * * [simplify]: iters left: 3 (37 enodes)
2.185 * * [simplify]: Extracting #0: cost 1 inf + 0
2.185 * * [simplify]: Extracting #1: cost 3 inf + 0
2.185 * * [simplify]: Extracting #2: cost 6 inf + 0
2.185 * * [simplify]: Extracting #3: cost 7 inf + 1
2.185 * * [simplify]: Extracting #4: cost 11 inf + 1
2.185 * * [simplify]: Extracting #5: cost 8 inf + 249
2.185 * * [simplify]: Extracting #6: cost 3 inf + 836
2.186 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.186 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.186 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
2.186 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (/ 1 2)))
2.186 * [simplify]: Simplifying (/ 1 2)
2.186 * * [simplify]: iters left: 2 (3 enodes)
2.188 * * [simplify]: iters left: 1 (12 enodes)
2.191 * * [simplify]: Extracting #0: cost 1 inf + 0
2.191 * * [simplify]: Extracting #1: cost 0 inf + 1
2.191 * [simplify]: Simplified to 1/2
2.191 * [simplify]: Simplified (2 2) to (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))
2.191 * * * * [progress]: [ 37 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
2.191 * * * * [progress]: [ 38 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
2.191 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
2.191 * * [simplify]: iters left: 6 (7 enodes)
2.193 * * [simplify]: iters left: 5 (26 enodes)
2.197 * * [simplify]: iters left: 4 (35 enodes)
2.205 * * [simplify]: iters left: 3 (37 enodes)
2.215 * * [simplify]: Extracting #0: cost 1 inf + 0
2.215 * * [simplify]: Extracting #1: cost 3 inf + 0
2.215 * * [simplify]: Extracting #2: cost 6 inf + 0
2.215 * * [simplify]: Extracting #3: cost 7 inf + 1
2.215 * * [simplify]: Extracting #4: cost 11 inf + 1
2.215 * * [simplify]: Extracting #5: cost 8 inf + 249
2.216 * * [simplify]: Extracting #6: cost 3 inf + 836
2.216 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.217 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.217 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
2.217 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 1)))
2.217 * * * * [progress]: [ 39 / 98 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
2.217 * * * * [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))))))))>
2.218 * [simplify]: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.218 * * [simplify]: iters left: 6 (9 enodes)
2.220 * * [simplify]: iters left: 5 (32 enodes)
2.225 * * [simplify]: iters left: 4 (41 enodes)
2.232 * * [simplify]: iters left: 3 (43 enodes)
2.237 * * [simplify]: Extracting #0: cost 1 inf + 0
2.237 * * [simplify]: Extracting #1: cost 3 inf + 0
2.237 * * [simplify]: Extracting #2: cost 5 inf + 0
2.237 * * [simplify]: Extracting #3: cost 7 inf + 0
2.237 * * [simplify]: Extracting #4: cost 10 inf + 0
2.237 * * [simplify]: Extracting #5: cost 11 inf + 1
2.238 * * [simplify]: Extracting #6: cost 15 inf + 1
2.238 * * [simplify]: Extracting #7: cost 16 inf + 2
2.238 * * [simplify]: Extracting #8: cost 10 inf + 330
2.238 * * [simplify]: Extracting #9: cost 8 inf + 714
2.238 * * [simplify]: Extracting #10: cost 4 inf + 1772
2.239 * * [simplify]: Extracting #11: cost 0 inf + 3270
2.239 * [simplify]: Simplified to (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
2.239 * [simplify]: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))))
2.239 * * * * [progress]: [ 41 / 98 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.239 * * * * [progress]: [ 42 / 98 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
2.239 * * * * [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))))))))>
2.239 * [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))))))
2.239 * * [simplify]: iters left: 6 (10 enodes)
2.242 * * [simplify]: iters left: 5 (40 enodes)
2.249 * * [simplify]: iters left: 4 (62 enodes)
2.263 * * [simplify]: iters left: 3 (78 enodes)
2.278 * * [simplify]: iters left: 2 (112 enodes)
2.301 * * [simplify]: iters left: 1 (196 enodes)
2.349 * * [simplify]: Extracting #0: cost 1 inf + 0
2.350 * * [simplify]: Extracting #1: cost 21 inf + 0
2.350 * * [simplify]: Extracting #2: cost 82 inf + 3
2.350 * * [simplify]: Extracting #3: cost 92 inf + 9
2.350 * * [simplify]: Extracting #4: cost 94 inf + 12
2.351 * * [simplify]: Extracting #5: cost 89 inf + 464
2.351 * * [simplify]: Extracting #6: cost 83 inf + 1924
2.353 * * [simplify]: Extracting #7: cost 46 inf + 19858
2.358 * * [simplify]: Extracting #8: cost 4 inf + 45102
2.364 * * [simplify]: Extracting #9: cost 0 inf + 47765
2.369 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))))
2.369 * [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))))))
2.369 * * * * [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))))))))>
2.369 * * * * [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))))))))>
2.369 * * * * [progress]: [ 46 / 98 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
2.370 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
2.370 * * [simplify]: iters left: 6 (7 enodes)
2.372 * * [simplify]: iters left: 5 (26 enodes)
2.376 * * [simplify]: iters left: 4 (35 enodes)
2.382 * * [simplify]: iters left: 3 (37 enodes)
2.387 * * [simplify]: Extracting #0: cost 1 inf + 0
2.387 * * [simplify]: Extracting #1: cost 3 inf + 0
2.387 * * [simplify]: Extracting #2: cost 6 inf + 0
2.387 * * [simplify]: Extracting #3: cost 7 inf + 1
2.387 * * [simplify]: Extracting #4: cost 11 inf + 1
2.387 * * [simplify]: Extracting #5: cost 8 inf + 249
2.387 * * [simplify]: Extracting #6: cost 3 inf + 836
2.387 * * [simplify]: Extracting #7: cost 1 inf + 1400
2.387 * * [simplify]: Extracting #8: cost 0 inf + 1702
2.388 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
2.388 * [simplify]: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))))
2.388 * * * * [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))))))))>
2.388 * * * * [progress]: [ 48 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
2.388 * [simplify]: Simplifying (+ 1 (* (+ N 1) N))
2.388 * * [simplify]: iters left: 6 (5 enodes)
2.390 * * [simplify]: iters left: 5 (20 enodes)
2.393 * * [simplify]: iters left: 4 (29 enodes)
2.397 * * [simplify]: iters left: 3 (31 enodes)
2.401 * * [simplify]: Extracting #0: cost 1 inf + 0
2.401 * * [simplify]: Extracting #1: cost 4 inf + 0
2.401 * * [simplify]: Extracting #2: cost 7 inf + 1
2.401 * * [simplify]: Extracting #3: cost 2 inf + 493
2.401 * * [simplify]: Extracting #4: cost 0 inf + 574
2.402 * [simplify]: Simplified to (+ (* (+ N 1) N) 1)
2.402 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))
2.402 * * * * [progress]: [ 49 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.402 * * * * [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))))))))>
2.402 * [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)))))))
2.402 * * [simplify]: iters left: 6 (10 enodes)
2.405 * * [simplify]: iters left: 5 (39 enodes)
2.411 * * [simplify]: iters left: 4 (52 enodes)
2.419 * * [simplify]: iters left: 3 (64 enodes)
2.436 * * [simplify]: iters left: 2 (84 enodes)
2.465 * * [simplify]: iters left: 1 (130 enodes)
2.510 * * [simplify]: Extracting #0: cost 1 inf + 0
2.511 * * [simplify]: Extracting #1: cost 13 inf + 0
2.511 * * [simplify]: Extracting #2: cost 40 inf + 1
2.511 * * [simplify]: Extracting #3: cost 40 inf + 7
2.511 * * [simplify]: Extracting #4: cost 41 inf + 9
2.512 * * [simplify]: Extracting #5: cost 44 inf + 10
2.512 * * [simplify]: Extracting #6: cost 45 inf + 11
2.513 * * [simplify]: Extracting #7: cost 28 inf + 3783
2.517 * * [simplify]: Extracting #8: cost 6 inf + 18412
2.522 * * [simplify]: Extracting #9: cost 0 inf + 23647
2.528 * [simplify]: Simplified to (* (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
2.528 * [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))))))))
2.529 * [simplify]: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.529 * * [simplify]: iters left: 6 (9 enodes)
2.533 * * [simplify]: iters left: 5 (32 enodes)
2.544 * * [simplify]: iters left: 4 (41 enodes)
2.556 * * [simplify]: iters left: 3 (43 enodes)
2.567 * * [simplify]: Extracting #0: cost 1 inf + 0
2.567 * * [simplify]: Extracting #1: cost 3 inf + 0
2.568 * * [simplify]: Extracting #2: cost 5 inf + 0
2.568 * * [simplify]: Extracting #3: cost 7 inf + 0
2.568 * * [simplify]: Extracting #4: cost 10 inf + 0
2.568 * * [simplify]: Extracting #5: cost 11 inf + 1
2.568 * * [simplify]: Extracting #6: cost 15 inf + 1
2.568 * * [simplify]: Extracting #7: cost 16 inf + 2
2.568 * * [simplify]: Extracting #8: cost 10 inf + 330
2.568 * * [simplify]: Extracting #9: cost 8 inf + 714
2.569 * * [simplify]: Extracting #10: cost 4 inf + 1782
2.570 * * [simplify]: Extracting #11: cost 0 inf + 3310
2.571 * [simplify]: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
2.571 * [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)))))))
2.571 * * * * [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))))))))>
2.571 * [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)))))))
2.571 * * [simplify]: iters left: 6 (10 enodes)
2.579 * * [simplify]: iters left: 5 (34 enodes)
2.589 * * [simplify]: iters left: 4 (44 enodes)
2.602 * * [simplify]: iters left: 3 (46 enodes)
2.613 * * [simplify]: Extracting #0: cost 1 inf + 0
2.613 * * [simplify]: Extracting #1: cost 4 inf + 0
2.613 * * [simplify]: Extracting #2: cost 7 inf + 0
2.613 * * [simplify]: Extracting #3: cost 10 inf + 0
2.613 * * [simplify]: Extracting #4: cost 11 inf + 1
2.613 * * [simplify]: Extracting #5: cost 15 inf + 1
2.613 * * [simplify]: Extracting #6: cost 15 inf + 43
2.614 * * [simplify]: Extracting #7: cost 11 inf + 249
2.614 * * [simplify]: Extracting #8: cost 8 inf + 714
2.615 * * [simplify]: Extracting #9: cost 1 inf + 2928
2.615 * * [simplify]: Extracting #10: cost 0 inf + 3310
2.616 * [simplify]: Simplified to (* (cbrt (atan2 1 (+ (+ (* N N) N) 1))) (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
2.616 * [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))))))))
2.617 * [simplify]: Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.617 * * [simplify]: iters left: 6 (9 enodes)
2.620 * * [simplify]: iters left: 5 (30 enodes)
2.625 * * [simplify]: iters left: 4 (40 enodes)
2.630 * * [simplify]: iters left: 3 (42 enodes)
2.636 * * [simplify]: Extracting #0: cost 1 inf + 0
2.636 * * [simplify]: Extracting #1: cost 4 inf + 0
2.636 * * [simplify]: Extracting #2: cost 8 inf + 0
2.636 * * [simplify]: Extracting #3: cost 9 inf + 1
2.636 * * [simplify]: Extracting #4: cost 13 inf + 1
2.636 * * [simplify]: Extracting #5: cost 14 inf + 2
2.636 * * [simplify]: Extracting #6: cost 8 inf + 330
2.636 * * [simplify]: Extracting #7: cost 6 inf + 714
2.636 * * [simplify]: Extracting #8: cost 2 inf + 1822
2.637 * * [simplify]: Extracting #9: cost 0 inf + 2546
2.637 * [simplify]: Simplified to (cbrt (atan2 1 (+ (+ (* N N) N) 1)))
2.637 * [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)))))
2.637 * * * * [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))))))))>
2.638 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.638 * * [simplify]: iters left: 6 (9 enodes)
2.640 * * [simplify]: iters left: 5 (30 enodes)
2.645 * * [simplify]: iters left: 4 (40 enodes)
2.655 * * [simplify]: iters left: 3 (42 enodes)
2.665 * * [simplify]: Extracting #0: cost 1 inf + 0
2.665 * * [simplify]: Extracting #1: cost 4 inf + 0
2.665 * * [simplify]: Extracting #2: cost 8 inf + 0
2.665 * * [simplify]: Extracting #3: cost 9 inf + 1
2.665 * * [simplify]: Extracting #4: cost 13 inf + 1
2.666 * * [simplify]: Extracting #5: cost 14 inf + 2
2.666 * * [simplify]: Extracting #6: cost 8 inf + 330
2.666 * * [simplify]: Extracting #7: cost 6 inf + 714
2.667 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.667 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.668 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.668 * [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))))))))
2.668 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.669 * * [simplify]: iters left: 6 (9 enodes)
2.673 * * [simplify]: iters left: 5 (30 enodes)
2.678 * * [simplify]: iters left: 4 (40 enodes)
2.685 * * [simplify]: iters left: 3 (42 enodes)
2.691 * * [simplify]: Extracting #0: cost 1 inf + 0
2.691 * * [simplify]: Extracting #1: cost 4 inf + 0
2.691 * * [simplify]: Extracting #2: cost 8 inf + 0
2.691 * * [simplify]: Extracting #3: cost 9 inf + 1
2.691 * * [simplify]: Extracting #4: cost 13 inf + 1
2.691 * * [simplify]: Extracting #5: cost 14 inf + 2
2.691 * * [simplify]: Extracting #6: cost 8 inf + 330
2.691 * * [simplify]: Extracting #7: cost 6 inf + 714
2.691 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.692 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.694 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.694 * [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)))))
2.694 * * * * [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))))))))>
2.694 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.694 * * [simplify]: iters left: 6 (9 enodes)
2.697 * * [simplify]: iters left: 5 (30 enodes)
2.702 * * [simplify]: iters left: 4 (40 enodes)
2.709 * * [simplify]: iters left: 3 (42 enodes)
2.719 * * [simplify]: Extracting #0: cost 1 inf + 0
2.719 * * [simplify]: Extracting #1: cost 4 inf + 0
2.719 * * [simplify]: Extracting #2: cost 8 inf + 0
2.719 * * [simplify]: Extracting #3: cost 9 inf + 1
2.720 * * [simplify]: Extracting #4: cost 13 inf + 1
2.720 * * [simplify]: Extracting #5: cost 14 inf + 2
2.720 * * [simplify]: Extracting #6: cost 8 inf + 330
2.720 * * [simplify]: Extracting #7: cost 6 inf + 714
2.721 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.721 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.722 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.723 * [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))))))))
2.723 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.723 * * [simplify]: iters left: 6 (9 enodes)
2.728 * * [simplify]: iters left: 5 (30 enodes)
2.736 * * [simplify]: iters left: 4 (40 enodes)
2.748 * * [simplify]: iters left: 3 (42 enodes)
2.758 * * [simplify]: Extracting #0: cost 1 inf + 0
2.758 * * [simplify]: Extracting #1: cost 4 inf + 0
2.758 * * [simplify]: Extracting #2: cost 8 inf + 0
2.758 * * [simplify]: Extracting #3: cost 9 inf + 1
2.759 * * [simplify]: Extracting #4: cost 13 inf + 1
2.759 * * [simplify]: Extracting #5: cost 14 inf + 2
2.759 * * [simplify]: Extracting #6: cost 8 inf + 330
2.759 * * [simplify]: Extracting #7: cost 6 inf + 714
2.760 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.760 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.761 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.761 * [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)))))
2.761 * * * * [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)))))))>
2.761 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1))
2.762 * * [simplify]: iters left: 3 (3 enodes)
2.765 * * [simplify]: iters left: 2 (9 enodes)
2.768 * * [simplify]: iters left: 1 (11 enodes)
2.771 * * [simplify]: Extracting #0: cost 1 inf + 0
2.771 * * [simplify]: Extracting #1: cost 0 inf + 1
2.771 * [simplify]: Simplified to 1
2.771 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.771 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.771 * * [simplify]: iters left: 6 (8 enodes)
2.775 * * [simplify]: iters left: 5 (27 enodes)
2.784 * * [simplify]: iters left: 4 (37 enodes)
2.795 * * [simplify]: iters left: 3 (39 enodes)
2.804 * * [simplify]: Extracting #0: cost 1 inf + 0
2.804 * * [simplify]: Extracting #1: cost 5 inf + 0
2.804 * * [simplify]: Extracting #2: cost 7 inf + 1
2.804 * * [simplify]: Extracting #3: cost 11 inf + 1
2.805 * * [simplify]: Extracting #4: cost 11 inf + 43
2.805 * * [simplify]: Extracting #5: cost 7 inf + 249
2.805 * * [simplify]: Extracting #6: cost 3 inf + 836
2.806 * * [simplify]: Extracting #7: cost 0 inf + 1702
2.806 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.806 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (atan2 1 (+ (+ N (* N N)) 1))))
2.806 * * * * [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))))))))>
2.807 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.807 * * [simplify]: iters left: 6 (9 enodes)
2.811 * * [simplify]: iters left: 5 (30 enodes)
2.819 * * [simplify]: iters left: 4 (40 enodes)
2.830 * * [simplify]: iters left: 3 (42 enodes)
2.843 * * [simplify]: Extracting #0: cost 1 inf + 0
2.843 * * [simplify]: Extracting #1: cost 4 inf + 0
2.843 * * [simplify]: Extracting #2: cost 8 inf + 0
2.843 * * [simplify]: Extracting #3: cost 9 inf + 1
2.843 * * [simplify]: Extracting #4: cost 13 inf + 1
2.843 * * [simplify]: Extracting #5: cost 14 inf + 2
2.843 * * [simplify]: Extracting #6: cost 8 inf + 330
2.844 * * [simplify]: Extracting #7: cost 6 inf + 714
2.844 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.845 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.845 * [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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
2.846 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.846 * * [simplify]: iters left: 6 (9 enodes)
2.851 * * [simplify]: iters left: 5 (30 enodes)
2.859 * * [simplify]: iters left: 4 (40 enodes)
2.871 * * [simplify]: iters left: 3 (42 enodes)
2.881 * * [simplify]: Extracting #0: cost 1 inf + 0
2.881 * * [simplify]: Extracting #1: cost 4 inf + 0
2.882 * * [simplify]: Extracting #2: cost 8 inf + 0
2.882 * * [simplify]: Extracting #3: cost 9 inf + 1
2.882 * * [simplify]: Extracting #4: cost 13 inf + 1
2.882 * * [simplify]: Extracting #5: cost 14 inf + 2
2.882 * * [simplify]: Extracting #6: cost 8 inf + 330
2.882 * * [simplify]: Extracting #7: cost 6 inf + 714
2.883 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.883 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.883 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.883 * [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)))))
2.883 * * * * [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))))))))>
2.884 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.884 * * [simplify]: iters left: 6 (9 enodes)
2.886 * * [simplify]: iters left: 5 (30 enodes)
2.891 * * [simplify]: iters left: 4 (40 enodes)
2.899 * * [simplify]: iters left: 3 (42 enodes)
2.905 * * [simplify]: Extracting #0: cost 1 inf + 0
2.905 * * [simplify]: Extracting #1: cost 4 inf + 0
2.905 * * [simplify]: Extracting #2: cost 8 inf + 0
2.905 * * [simplify]: Extracting #3: cost 9 inf + 1
2.905 * * [simplify]: Extracting #4: cost 13 inf + 1
2.905 * * [simplify]: Extracting #5: cost 14 inf + 2
2.905 * * [simplify]: Extracting #6: cost 8 inf + 330
2.905 * * [simplify]: Extracting #7: cost 6 inf + 714
2.905 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.906 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.906 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.906 * [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))))))))
2.906 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.906 * * [simplify]: iters left: 6 (9 enodes)
2.908 * * [simplify]: iters left: 5 (30 enodes)
2.913 * * [simplify]: iters left: 4 (40 enodes)
2.919 * * [simplify]: iters left: 3 (42 enodes)
2.924 * * [simplify]: Extracting #0: cost 1 inf + 0
2.924 * * [simplify]: Extracting #1: cost 4 inf + 0
2.924 * * [simplify]: Extracting #2: cost 8 inf + 0
2.924 * * [simplify]: Extracting #3: cost 9 inf + 1
2.924 * * [simplify]: Extracting #4: cost 13 inf + 1
2.924 * * [simplify]: Extracting #5: cost 14 inf + 2
2.924 * * [simplify]: Extracting #6: cost 8 inf + 330
2.924 * * [simplify]: Extracting #7: cost 6 inf + 714
2.925 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.925 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.925 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.925 * [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)))))
2.926 * * * * [progress]: [ 57 / 98 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
2.926 * [simplify]: Simplifying (* 1 1)
2.926 * * [simplify]: iters left: 2 (2 enodes)
2.927 * * [simplify]: iters left: 1 (6 enodes)
2.928 * * [simplify]: Extracting #0: cost 1 inf + 0
2.928 * * [simplify]: Extracting #1: cost 0 inf + 1
2.928 * [simplify]: Simplified to 1
2.928 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
2.928 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
2.928 * * [simplify]: iters left: 6 (8 enodes)
2.930 * * [simplify]: iters left: 5 (27 enodes)
2.934 * * [simplify]: iters left: 4 (37 enodes)
2.940 * * [simplify]: iters left: 3 (39 enodes)
2.946 * * [simplify]: Extracting #0: cost 1 inf + 0
2.946 * * [simplify]: Extracting #1: cost 5 inf + 0
2.946 * * [simplify]: Extracting #2: cost 7 inf + 1
2.946 * * [simplify]: Extracting #3: cost 11 inf + 1
2.946 * * [simplify]: Extracting #4: cost 11 inf + 43
2.947 * * [simplify]: Extracting #5: cost 7 inf + 249
2.947 * * [simplify]: Extracting #6: cost 3 inf + 836
2.947 * * [simplify]: Extracting #7: cost 0 inf + 1702
2.947 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
2.947 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (atan2 1 (+ (+ N (* N N)) 1))))
2.947 * * * * [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))))))))>
2.948 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.948 * * [simplify]: iters left: 6 (9 enodes)
2.950 * * [simplify]: iters left: 5 (30 enodes)
2.955 * * [simplify]: iters left: 4 (40 enodes)
2.960 * * [simplify]: iters left: 3 (42 enodes)
2.966 * * [simplify]: Extracting #0: cost 1 inf + 0
2.966 * * [simplify]: Extracting #1: cost 4 inf + 0
2.966 * * [simplify]: Extracting #2: cost 8 inf + 0
2.966 * * [simplify]: Extracting #3: cost 9 inf + 1
2.966 * * [simplify]: Extracting #4: cost 13 inf + 1
2.966 * * [simplify]: Extracting #5: cost 14 inf + 2
2.966 * * [simplify]: Extracting #6: cost 8 inf + 330
2.967 * * [simplify]: Extracting #7: cost 6 inf + 714
2.967 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.967 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.967 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.968 * [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))))))))
2.968 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.968 * * [simplify]: iters left: 6 (9 enodes)
2.970 * * [simplify]: iters left: 5 (30 enodes)
2.974 * * [simplify]: iters left: 4 (40 enodes)
2.980 * * [simplify]: iters left: 3 (42 enodes)
2.985 * * [simplify]: Extracting #0: cost 1 inf + 0
2.985 * * [simplify]: Extracting #1: cost 4 inf + 0
2.985 * * [simplify]: Extracting #2: cost 8 inf + 0
2.985 * * [simplify]: Extracting #3: cost 9 inf + 1
2.986 * * [simplify]: Extracting #4: cost 13 inf + 1
2.986 * * [simplify]: Extracting #5: cost 14 inf + 2
2.986 * * [simplify]: Extracting #6: cost 8 inf + 330
2.986 * * [simplify]: Extracting #7: cost 6 inf + 714
2.986 * * [simplify]: Extracting #8: cost 2 inf + 1742
2.986 * * [simplify]: Extracting #9: cost 0 inf + 2386
2.987 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
2.987 * [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)))))
2.987 * * * * [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))))))))>
2.987 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
2.987 * * [simplify]: iters left: 6 (9 enodes)
2.989 * * [simplify]: iters left: 5 (30 enodes)
2.994 * * [simplify]: iters left: 4 (40 enodes)
3.000 * * [simplify]: iters left: 3 (42 enodes)
3.005 * * [simplify]: Extracting #0: cost 1 inf + 0
3.005 * * [simplify]: Extracting #1: cost 4 inf + 0
3.005 * * [simplify]: Extracting #2: cost 8 inf + 0
3.005 * * [simplify]: Extracting #3: cost 9 inf + 1
3.005 * * [simplify]: Extracting #4: cost 13 inf + 1
3.005 * * [simplify]: Extracting #5: cost 14 inf + 2
3.005 * * [simplify]: Extracting #6: cost 8 inf + 330
3.005 * * [simplify]: Extracting #7: cost 6 inf + 714
3.006 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.006 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.006 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.006 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
3.007 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.007 * * [simplify]: iters left: 6 (9 enodes)
3.009 * * [simplify]: iters left: 5 (30 enodes)
3.013 * * [simplify]: iters left: 4 (40 enodes)
3.019 * * [simplify]: iters left: 3 (42 enodes)
3.032 * * [simplify]: Extracting #0: cost 1 inf + 0
3.032 * * [simplify]: Extracting #1: cost 4 inf + 0
3.032 * * [simplify]: Extracting #2: cost 8 inf + 0
3.032 * * [simplify]: Extracting #3: cost 9 inf + 1
3.032 * * [simplify]: Extracting #4: cost 13 inf + 1
3.032 * * [simplify]: Extracting #5: cost 14 inf + 2
3.033 * * [simplify]: Extracting #6: cost 8 inf + 330
3.033 * * [simplify]: Extracting #7: cost 6 inf + 714
3.033 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.034 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.035 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.035 * [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)))))
3.035 * * * * [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))))))))>
3.035 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.035 * * [simplify]: iters left: 6 (9 enodes)
3.040 * * [simplify]: iters left: 5 (30 enodes)
3.049 * * [simplify]: iters left: 4 (40 enodes)
3.061 * * [simplify]: iters left: 3 (42 enodes)
3.071 * * [simplify]: Extracting #0: cost 1 inf + 0
3.071 * * [simplify]: Extracting #1: cost 4 inf + 0
3.071 * * [simplify]: Extracting #2: cost 8 inf + 0
3.071 * * [simplify]: Extracting #3: cost 9 inf + 1
3.071 * * [simplify]: Extracting #4: cost 13 inf + 1
3.071 * * [simplify]: Extracting #5: cost 14 inf + 2
3.072 * * [simplify]: Extracting #6: cost 8 inf + 330
3.072 * * [simplify]: Extracting #7: cost 6 inf + 714
3.072 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.073 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.073 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.073 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
3.074 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.074 * * [simplify]: iters left: 6 (9 enodes)
3.078 * * [simplify]: iters left: 5 (30 enodes)
3.087 * * [simplify]: iters left: 4 (40 enodes)
3.099 * * [simplify]: iters left: 3 (42 enodes)
3.109 * * [simplify]: Extracting #0: cost 1 inf + 0
3.110 * * [simplify]: Extracting #1: cost 4 inf + 0
3.110 * * [simplify]: Extracting #2: cost 8 inf + 0
3.110 * * [simplify]: Extracting #3: cost 9 inf + 1
3.110 * * [simplify]: Extracting #4: cost 13 inf + 1
3.110 * * [simplify]: Extracting #5: cost 14 inf + 2
3.110 * * [simplify]: Extracting #6: cost 8 inf + 330
3.110 * * [simplify]: Extracting #7: cost 6 inf + 714
3.111 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.112 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.113 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.113 * [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)))))
3.113 * * * * [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))))))))>
3.113 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.113 * * [simplify]: iters left: 6 (9 enodes)
3.118 * * [simplify]: iters left: 5 (30 enodes)
3.127 * * [simplify]: iters left: 4 (40 enodes)
3.139 * * [simplify]: iters left: 3 (42 enodes)
3.149 * * [simplify]: Extracting #0: cost 1 inf + 0
3.149 * * [simplify]: Extracting #1: cost 4 inf + 0
3.149 * * [simplify]: Extracting #2: cost 8 inf + 0
3.149 * * [simplify]: Extracting #3: cost 9 inf + 1
3.149 * * [simplify]: Extracting #4: cost 13 inf + 1
3.150 * * [simplify]: Extracting #5: cost 14 inf + 2
3.150 * * [simplify]: Extracting #6: cost 8 inf + 330
3.150 * * [simplify]: Extracting #7: cost 6 inf + 714
3.150 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.151 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.151 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.152 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ (* N N) N) 1))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
3.152 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.152 * * [simplify]: iters left: 6 (9 enodes)
3.156 * * [simplify]: iters left: 5 (30 enodes)
3.165 * * [simplify]: iters left: 4 (40 enodes)
3.175 * * [simplify]: iters left: 3 (42 enodes)
3.182 * * [simplify]: Extracting #0: cost 1 inf + 0
3.182 * * [simplify]: Extracting #1: cost 4 inf + 0
3.182 * * [simplify]: Extracting #2: cost 8 inf + 0
3.182 * * [simplify]: Extracting #3: cost 9 inf + 1
3.182 * * [simplify]: Extracting #4: cost 13 inf + 1
3.182 * * [simplify]: Extracting #5: cost 14 inf + 2
3.182 * * [simplify]: Extracting #6: cost 8 inf + 330
3.183 * * [simplify]: Extracting #7: cost 6 inf + 714
3.183 * * [simplify]: Extracting #8: cost 2 inf + 1742
3.183 * * [simplify]: Extracting #9: cost 0 inf + 2386
3.184 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
3.184 * [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)))))
3.184 * * * * [progress]: [ 62 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 1/2)))>
3.184 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
3.184 * * [simplify]: iters left: 6 (6 enodes)
3.186 * * [simplify]: iters left: 5 (23 enodes)
3.189 * * [simplify]: iters left: 4 (32 enodes)
3.194 * * [simplify]: iters left: 3 (34 enodes)
3.199 * * [simplify]: Extracting #0: cost 1 inf + 0
3.199 * * [simplify]: Extracting #1: cost 4 inf + 0
3.199 * * [simplify]: Extracting #2: cost 5 inf + 1
3.199 * * [simplify]: Extracting #3: cost 9 inf + 1
3.199 * * [simplify]: Extracting #4: cost 9 inf + 43
3.199 * * [simplify]: Extracting #5: cost 0 inf + 1098
3.200 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
3.200 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (* 2 1/2)))
3.200 * [simplify]: Simplifying (* 2 1/2)
3.200 * * [simplify]: iters left: 2 (3 enodes)
3.202 * * [simplify]: iters left: 1 (11 enodes)
3.204 * * [simplify]: Extracting #0: cost 1 inf + 0
3.204 * * [simplify]: Extracting #1: cost 0 inf + 1
3.204 * [simplify]: Simplified to 1
3.204 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
3.204 * * * * [progress]: [ 63 / 98 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 2 1)))>
3.204 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
3.204 * * [simplify]: iters left: 6 (7 enodes)
3.206 * * [simplify]: iters left: 5 (26 enodes)
3.210 * * [simplify]: iters left: 4 (35 enodes)
3.216 * * [simplify]: iters left: 3 (37 enodes)
3.221 * * [simplify]: Extracting #0: cost 1 inf + 0
3.221 * * [simplify]: Extracting #1: cost 3 inf + 0
3.221 * * [simplify]: Extracting #2: cost 6 inf + 0
3.221 * * [simplify]: Extracting #3: cost 7 inf + 1
3.221 * * [simplify]: Extracting #4: cost 11 inf + 1
3.221 * * [simplify]: Extracting #5: cost 8 inf + 249
3.221 * * [simplify]: Extracting #6: cost 3 inf + 836
3.221 * * [simplify]: Extracting #7: cost 1 inf + 1400
3.222 * * [simplify]: Extracting #8: cost 0 inf + 1702
3.222 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
3.222 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (* 2 1)))
3.222 * [simplify]: Simplifying (* 2 1)
3.222 * * [simplify]: iters left: 2 (3 enodes)
3.224 * * [simplify]: iters left: 1 (9 enodes)
3.225 * * [simplify]: Extracting #0: cost 1 inf + 0
3.225 * * [simplify]: Extracting #1: cost 0 inf + 1
3.225 * [simplify]: Simplified to 2
3.225 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
3.225 * * * * [progress]: [ 64 / 98 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (* 2 (/ 1 2))))>
3.226 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
3.226 * * [simplify]: iters left: 6 (6 enodes)
3.227 * * [simplify]: iters left: 5 (23 enodes)
3.231 * * [simplify]: iters left: 4 (32 enodes)
3.236 * * [simplify]: iters left: 3 (34 enodes)
3.240 * * [simplify]: Extracting #0: cost 1 inf + 0
3.240 * * [simplify]: Extracting #1: cost 4 inf + 0
3.241 * * [simplify]: Extracting #2: cost 5 inf + 1
3.241 * * [simplify]: Extracting #3: cost 9 inf + 1
3.241 * * [simplify]: Extracting #4: cost 9 inf + 43
3.241 * * [simplify]: Extracting #5: cost 0 inf + 1098
3.241 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
3.241 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (* 2 (/ 1 2))))
3.241 * [simplify]: Simplifying (* 2 (/ 1 2))
3.241 * * [simplify]: iters left: 4 (4 enodes)
3.243 * * [simplify]: iters left: 3 (13 enodes)
3.245 * * [simplify]: iters left: 2 (15 enodes)
3.248 * * [simplify]: Extracting #0: cost 1 inf + 0
3.248 * * [simplify]: Extracting #1: cost 0 inf + 1
3.248 * [simplify]: Simplified to 1
3.248 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
3.248 * * * * [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)))))))>
3.248 * [simplify]: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.248 * * [simplify]: iters left: 6 (8 enodes)
3.250 * * [simplify]: iters left: 5 (29 enodes)
3.255 * * [simplify]: iters left: 4 (38 enodes)
3.260 * * [simplify]: iters left: 3 (40 enodes)
3.271 * * [simplify]: Extracting #0: cost 1 inf + 0
3.271 * * [simplify]: Extracting #1: cost 3 inf + 0
3.271 * * [simplify]: Extracting #2: cost 5 inf + 0
3.271 * * [simplify]: Extracting #3: cost 8 inf + 0
3.271 * * [simplify]: Extracting #4: cost 9 inf + 1
3.271 * * [simplify]: Extracting #5: cost 13 inf + 1
3.271 * * [simplify]: Extracting #6: cost 14 inf + 2
3.272 * * [simplify]: Extracting #7: cost 9 inf + 249
3.272 * * [simplify]: Extracting #8: cost 5 inf + 836
3.273 * * [simplify]: Extracting #9: cost 1 inf + 2084
3.273 * * [simplify]: Extracting #10: cost 0 inf + 2466
3.274 * [simplify]: Simplified to (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
3.274 * [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))))))
3.274 * * * * [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)))))))>
3.275 * [simplify]: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.275 * * [simplify]: iters left: 6 (8 enodes)
3.279 * * [simplify]: iters left: 5 (29 enodes)
3.288 * * [simplify]: iters left: 4 (38 enodes)
3.299 * * [simplify]: iters left: 3 (40 enodes)
3.308 * * [simplify]: Extracting #0: cost 1 inf + 0
3.308 * * [simplify]: Extracting #1: cost 3 inf + 0
3.308 * * [simplify]: Extracting #2: cost 5 inf + 0
3.308 * * [simplify]: Extracting #3: cost 8 inf + 0
3.308 * * [simplify]: Extracting #4: cost 9 inf + 1
3.308 * * [simplify]: Extracting #5: cost 13 inf + 1
3.308 * * [simplify]: Extracting #6: cost 14 inf + 2
3.308 * * [simplify]: Extracting #7: cost 9 inf + 249
3.309 * * [simplify]: Extracting #8: cost 5 inf + 836
3.309 * * [simplify]: Extracting #9: cost 1 inf + 2164
3.309 * * [simplify]: Extracting #10: cost 0 inf + 2546
3.309 * [simplify]: Simplified to (sqrt (cbrt (atan2 1 (+ (+ N (* N N)) 1))))
3.310 * [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))))))
3.310 * * * * [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)))))))>
3.310 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.310 * * [simplify]: iters left: 6 (8 enodes)
3.312 * * [simplify]: iters left: 5 (29 enodes)
3.316 * * [simplify]: iters left: 4 (38 enodes)
3.322 * * [simplify]: iters left: 3 (40 enodes)
3.327 * * [simplify]: Extracting #0: cost 1 inf + 0
3.327 * * [simplify]: Extracting #1: cost 3 inf + 0
3.327 * * [simplify]: Extracting #2: cost 5 inf + 0
3.327 * * [simplify]: Extracting #3: cost 8 inf + 0
3.327 * * [simplify]: Extracting #4: cost 9 inf + 1
3.327 * * [simplify]: Extracting #5: cost 13 inf + 1
3.327 * * [simplify]: Extracting #6: cost 14 inf + 2
3.327 * * [simplify]: Extracting #7: cost 9 inf + 249
3.328 * * [simplify]: Extracting #8: cost 5 inf + 836
3.328 * * [simplify]: Extracting #9: cost 1 inf + 2044
3.328 * * [simplify]: Extracting #10: cost 0 inf + 2386
3.328 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
3.328 * [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))))))
3.329 * * * * [progress]: [ 68 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.329 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
3.329 * * [simplify]: iters left: 6 (7 enodes)
3.331 * * [simplify]: iters left: 5 (26 enodes)
3.335 * * [simplify]: iters left: 4 (35 enodes)
3.341 * * [simplify]: iters left: 3 (37 enodes)
3.348 * * [simplify]: Extracting #0: cost 1 inf + 0
3.348 * * [simplify]: Extracting #1: cost 3 inf + 0
3.348 * * [simplify]: Extracting #2: cost 6 inf + 0
3.348 * * [simplify]: Extracting #3: cost 7 inf + 1
3.348 * * [simplify]: Extracting #4: cost 11 inf + 1
3.348 * * [simplify]: Extracting #5: cost 8 inf + 249
3.349 * * [simplify]: Extracting #6: cost 3 inf + 836
3.349 * * [simplify]: Extracting #7: cost 1 inf + 1400
3.350 * * [simplify]: Extracting #8: cost 0 inf + 1702
3.350 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
3.350 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
3.350 * * * * [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)))))))>
3.351 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.351 * * [simplify]: iters left: 6 (8 enodes)
3.355 * * [simplify]: iters left: 5 (29 enodes)
3.363 * * [simplify]: iters left: 4 (38 enodes)
3.374 * * [simplify]: iters left: 3 (40 enodes)
3.384 * * [simplify]: Extracting #0: cost 1 inf + 0
3.384 * * [simplify]: Extracting #1: cost 3 inf + 0
3.384 * * [simplify]: Extracting #2: cost 5 inf + 0
3.384 * * [simplify]: Extracting #3: cost 8 inf + 0
3.385 * * [simplify]: Extracting #4: cost 9 inf + 1
3.385 * * [simplify]: Extracting #5: cost 13 inf + 1
3.385 * * [simplify]: Extracting #6: cost 14 inf + 2
3.385 * * [simplify]: Extracting #7: cost 9 inf + 249
3.385 * * [simplify]: Extracting #8: cost 5 inf + 836
3.386 * * [simplify]: Extracting #9: cost 1 inf + 2044
3.386 * * [simplify]: Extracting #10: cost 0 inf + 2386
3.387 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
3.387 * [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))))))
3.387 * * * * [progress]: [ 70 / 98 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.387 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
3.387 * * [simplify]: iters left: 6 (7 enodes)
3.393 * * [simplify]: iters left: 5 (26 enodes)
3.401 * * [simplify]: iters left: 4 (35 enodes)
3.412 * * [simplify]: iters left: 3 (37 enodes)
3.421 * * [simplify]: Extracting #0: cost 1 inf + 0
3.421 * * [simplify]: Extracting #1: cost 3 inf + 0
3.421 * * [simplify]: Extracting #2: cost 6 inf + 0
3.422 * * [simplify]: Extracting #3: cost 7 inf + 1
3.422 * * [simplify]: Extracting #4: cost 11 inf + 1
3.422 * * [simplify]: Extracting #5: cost 8 inf + 249
3.422 * * [simplify]: Extracting #6: cost 3 inf + 836
3.423 * * [simplify]: Extracting #7: cost 1 inf + 1400
3.423 * * [simplify]: Extracting #8: cost 0 inf + 1702
3.424 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
3.424 * [simplify]: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
3.424 * * * * [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)))))))>
3.424 * [simplify]: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.424 * * [simplify]: iters left: 6 (9 enodes)
3.428 * * [simplify]: iters left: 5 (32 enodes)
3.439 * * [simplify]: iters left: 4 (41 enodes)
3.450 * * [simplify]: iters left: 3 (43 enodes)
3.461 * * [simplify]: Extracting #0: cost 1 inf + 0
3.461 * * [simplify]: Extracting #1: cost 3 inf + 0
3.461 * * [simplify]: Extracting #2: cost 5 inf + 0
3.461 * * [simplify]: Extracting #3: cost 7 inf + 0
3.461 * * [simplify]: Extracting #4: cost 10 inf + 0
3.461 * * [simplify]: Extracting #5: cost 11 inf + 1
3.461 * * [simplify]: Extracting #6: cost 15 inf + 1
3.461 * * [simplify]: Extracting #7: cost 16 inf + 2
3.462 * * [simplify]: Extracting #8: cost 10 inf + 330
3.462 * * [simplify]: Extracting #9: cost 8 inf + 714
3.463 * * [simplify]: Extracting #10: cost 4 inf + 1782
3.464 * * [simplify]: Extracting #11: cost 0 inf + 3310
3.464 * [simplify]: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
3.464 * [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)))))))
3.465 * * * * [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)))))))>
3.465 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.465 * * [simplify]: iters left: 6 (9 enodes)
3.469 * * [simplify]: iters left: 5 (33 enodes)
3.479 * * [simplify]: iters left: 4 (42 enodes)
3.491 * * [simplify]: iters left: 3 (44 enodes)
3.501 * * [simplify]: Extracting #0: cost 1 inf + 0
3.501 * * [simplify]: Extracting #1: cost 4 inf + 0
3.501 * * [simplify]: Extracting #2: cost 7 inf + 0
3.501 * * [simplify]: Extracting #3: cost 10 inf + 0
3.501 * * [simplify]: Extracting #4: cost 11 inf + 1
3.501 * * [simplify]: Extracting #5: cost 15 inf + 1
3.501 * * [simplify]: Extracting #6: cost 15 inf + 43
3.501 * * [simplify]: Extracting #7: cost 11 inf + 249
3.501 * * [simplify]: Extracting #8: cost 7 inf + 836
3.502 * * [simplify]: Extracting #9: cost 0 inf + 3310
3.502 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
3.502 * [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)))))))
3.502 * * * * [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)))))))>
3.502 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.502 * * [simplify]: iters left: 6 (8 enodes)
3.504 * * [simplify]: iters left: 5 (29 enodes)
3.509 * * [simplify]: iters left: 4 (38 enodes)
3.515 * * [simplify]: iters left: 3 (40 enodes)
3.520 * * [simplify]: Extracting #0: cost 1 inf + 0
3.520 * * [simplify]: Extracting #1: cost 3 inf + 0
3.520 * * [simplify]: Extracting #2: cost 5 inf + 0
3.520 * * [simplify]: Extracting #3: cost 8 inf + 0
3.520 * * [simplify]: Extracting #4: cost 9 inf + 1
3.520 * * [simplify]: Extracting #5: cost 13 inf + 1
3.520 * * [simplify]: Extracting #6: cost 14 inf + 2
3.520 * * [simplify]: Extracting #7: cost 9 inf + 249
3.521 * * [simplify]: Extracting #8: cost 5 inf + 836
3.521 * * [simplify]: Extracting #9: cost 1 inf + 2044
3.521 * * [simplify]: Extracting #10: cost 0 inf + 2386
3.521 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
3.521 * [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)))))))
3.522 * * * * [progress]: [ 74 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.522 * [simplify]: Simplifying (sqrt 1)
3.522 * * [simplify]: iters left: 1 (2 enodes)
3.525 * * [simplify]: Extracting #0: cost 1 inf + 0
3.525 * * [simplify]: Extracting #1: cost 0 inf + 1
3.525 * [simplify]: Simplified to 1
3.525 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
3.526 * * * * [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)))))))>
3.526 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
3.526 * * [simplify]: iters left: 6 (8 enodes)
3.529 * * [simplify]: iters left: 5 (29 enodes)
3.538 * * [simplify]: iters left: 4 (38 enodes)
3.550 * * [simplify]: iters left: 3 (40 enodes)
3.555 * * [simplify]: Extracting #0: cost 1 inf + 0
3.555 * * [simplify]: Extracting #1: cost 3 inf + 0
3.555 * * [simplify]: Extracting #2: cost 5 inf + 0
3.555 * * [simplify]: Extracting #3: cost 8 inf + 0
3.555 * * [simplify]: Extracting #4: cost 9 inf + 1
3.555 * * [simplify]: Extracting #5: cost 13 inf + 1
3.555 * * [simplify]: Extracting #6: cost 14 inf + 2
3.556 * * [simplify]: Extracting #7: cost 9 inf + 249
3.556 * * [simplify]: Extracting #8: cost 5 inf + 836
3.556 * * [simplify]: Extracting #9: cost 1 inf + 2044
3.556 * * [simplify]: Extracting #10: cost 0 inf + 2386
3.557 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
3.557 * [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)))))))
3.557 * * * * [progress]: [ 76 / 98 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.557 * * * * [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))))))))>
3.557 * * * * [progress]: [ 78 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.557 * * * * [progress]: [ 79 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
3.557 * * * * [progress]: [ 80 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.557 * * * * [progress]: [ 81 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
3.557 * * * * [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))))))))>
3.557 * * * * [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))))))))>
3.557 * * * * [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))))))))>
3.557 * * * * [progress]: [ 85 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
3.557 * * * * [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))))))))>
3.557 * * * * [progress]: [ 87 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.557 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.557 * * [simplify]: iters left: 6 (8 enodes)
3.560 * * [simplify]: iters left: 5 (34 enodes)
3.565 * * [simplify]: iters left: 4 (45 enodes)
3.572 * * [simplify]: iters left: 3 (51 enodes)
3.578 * * [simplify]: iters left: 2 (57 enodes)
3.588 * * [simplify]: Extracting #0: cost 1 inf + 0
3.588 * * [simplify]: Extracting #1: cost 3 inf + 0
3.588 * * [simplify]: Extracting #2: cost 6 inf + 0
3.588 * * [simplify]: Extracting #3: cost 11 inf + 1
3.589 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.589 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.590 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.590 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.590 * * * * [progress]: [ 88 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.591 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.591 * * [simplify]: iters left: 6 (8 enodes)
3.596 * * [simplify]: iters left: 5 (34 enodes)
3.608 * * [simplify]: iters left: 4 (45 enodes)
3.620 * * [simplify]: iters left: 3 (51 enodes)
3.628 * * [simplify]: iters left: 2 (57 enodes)
3.635 * * [simplify]: Extracting #0: cost 1 inf + 0
3.635 * * [simplify]: Extracting #1: cost 3 inf + 0
3.635 * * [simplify]: Extracting #2: cost 6 inf + 0
3.635 * * [simplify]: Extracting #3: cost 11 inf + 1
3.635 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.635 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.637 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.637 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.637 * * * * [progress]: [ 89 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.637 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.637 * * [simplify]: iters left: 6 (8 enodes)
3.640 * * [simplify]: iters left: 5 (34 enodes)
3.645 * * [simplify]: iters left: 4 (45 enodes)
3.652 * * [simplify]: iters left: 3 (51 enodes)
3.660 * * [simplify]: iters left: 2 (57 enodes)
3.667 * * [simplify]: Extracting #0: cost 1 inf + 0
3.667 * * [simplify]: Extracting #1: cost 3 inf + 0
3.667 * * [simplify]: Extracting #2: cost 6 inf + 0
3.667 * * [simplify]: Extracting #3: cost 11 inf + 1
3.667 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.667 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.668 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.668 * [simplify]: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
3.668 * * * * [progress]: [ 90 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.668 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.668 * * [simplify]: iters left: 6 (8 enodes)
3.671 * * [simplify]: iters left: 5 (34 enodes)
3.676 * * [simplify]: iters left: 4 (45 enodes)
3.682 * * [simplify]: iters left: 3 (51 enodes)
3.695 * * [simplify]: iters left: 2 (57 enodes)
3.709 * * [simplify]: Extracting #0: cost 1 inf + 0
3.709 * * [simplify]: Extracting #1: cost 3 inf + 0
3.709 * * [simplify]: Extracting #2: cost 6 inf + 0
3.709 * * [simplify]: Extracting #3: cost 11 inf + 1
3.710 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.710 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.711 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.711 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.711 * * * * [progress]: [ 91 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.711 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.711 * * [simplify]: iters left: 6 (8 enodes)
3.716 * * [simplify]: iters left: 5 (34 enodes)
3.727 * * [simplify]: iters left: 4 (45 enodes)
3.740 * * [simplify]: iters left: 3 (51 enodes)
3.757 * * [simplify]: iters left: 2 (57 enodes)
3.765 * * [simplify]: Extracting #0: cost 1 inf + 0
3.765 * * [simplify]: Extracting #1: cost 3 inf + 0
3.765 * * [simplify]: Extracting #2: cost 6 inf + 0
3.765 * * [simplify]: Extracting #3: cost 11 inf + 1
3.765 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.765 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.766 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.766 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.766 * * * * [progress]: [ 92 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
3.766 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
3.766 * * [simplify]: iters left: 6 (8 enodes)
3.769 * * [simplify]: iters left: 5 (34 enodes)
3.774 * * [simplify]: iters left: 4 (45 enodes)
3.780 * * [simplify]: iters left: 3 (51 enodes)
3.787 * * [simplify]: iters left: 2 (57 enodes)
3.803 * * [simplify]: Extracting #0: cost 1 inf + 0
3.803 * * [simplify]: Extracting #1: cost 3 inf + 0
3.803 * * [simplify]: Extracting #2: cost 6 inf + 0
3.803 * * [simplify]: Extracting #3: cost 11 inf + 1
3.803 * * [simplify]: Extracting #4: cost 5 inf + 1620
3.804 * * [simplify]: Extracting #5: cost 0 inf + 1867
3.804 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
3.805 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (* N N) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
3.805 * * * * [progress]: [ 93 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.805 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.805 * * [simplify]: iters left: 6 (7 enodes)
3.810 * * [simplify]: iters left: 5 (31 enodes)
3.819 * * [simplify]: iters left: 4 (42 enodes)
3.831 * * [simplify]: iters left: 3 (48 enodes)
3.843 * * [simplify]: iters left: 2 (54 enodes)
3.857 * * [simplify]: Extracting #0: cost 1 inf + 0
3.857 * * [simplify]: Extracting #1: cost 4 inf + 0
3.857 * * [simplify]: Extracting #2: cost 9 inf + 1
3.857 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.858 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.858 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.858 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
3.858 * * * * [progress]: [ 94 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.859 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.859 * * [simplify]: iters left: 6 (7 enodes)
3.863 * * [simplify]: iters left: 5 (31 enodes)
3.873 * * [simplify]: iters left: 4 (42 enodes)
3.889 * * [simplify]: iters left: 3 (48 enodes)
3.902 * * [simplify]: iters left: 2 (54 enodes)
3.917 * * [simplify]: Extracting #0: cost 1 inf + 0
3.917 * * [simplify]: Extracting #1: cost 4 inf + 0
3.917 * * [simplify]: Extracting #2: cost 9 inf + 1
3.917 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.918 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.918 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.918 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
3.918 * * * * [progress]: [ 95 / 98 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
3.919 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.919 * * [simplify]: iters left: 6 (7 enodes)
3.923 * * [simplify]: iters left: 5 (31 enodes)
3.933 * * [simplify]: iters left: 4 (42 enodes)
3.945 * * [simplify]: iters left: 3 (48 enodes)
3.957 * * [simplify]: iters left: 2 (54 enodes)
3.971 * * [simplify]: Extracting #0: cost 1 inf + 0
3.971 * * [simplify]: Extracting #1: cost 4 inf + 0
3.971 * * [simplify]: Extracting #2: cost 9 inf + 1
3.971 * * [simplify]: Extracting #3: cost 5 inf + 1016
3.971 * * [simplify]: Extracting #4: cost 0 inf + 1263
3.972 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
3.972 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
3.972 * * * * [progress]: [ 96 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
3.972 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
3.972 * * [simplify]: iters left: 6 (7 enodes)
3.975 * * [simplify]: iters left: 5 (31 enodes)
3.980 * * [simplify]: iters left: 4 (42 enodes)
3.986 * * [simplify]: iters left: 3 (48 enodes)
3.992 * * [simplify]: iters left: 2 (54 enodes)
4.000 * * [simplify]: Extracting #0: cost 1 inf + 0
4.000 * * [simplify]: Extracting #1: cost 4 inf + 0
4.000 * * [simplify]: Extracting #2: cost 9 inf + 1
4.000 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.001 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.001 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.001 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
4.001 * * * * [progress]: [ 97 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.002 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
4.002 * * [simplify]: iters left: 6 (7 enodes)
4.006 * * [simplify]: iters left: 5 (31 enodes)
4.016 * * [simplify]: iters left: 4 (42 enodes)
4.031 * * [simplify]: iters left: 3 (48 enodes)
4.037 * * [simplify]: iters left: 2 (54 enodes)
4.044 * * [simplify]: Extracting #0: cost 1 inf + 0
4.044 * * [simplify]: Extracting #1: cost 4 inf + 0
4.044 * * [simplify]: Extracting #2: cost 9 inf + 1
4.044 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.044 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.045 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.045 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
4.045 * * * * [progress]: [ 98 / 98 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
4.045 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
4.045 * * [simplify]: iters left: 6 (7 enodes)
4.048 * * [simplify]: iters left: 5 (31 enodes)
4.053 * * [simplify]: iters left: 4 (42 enodes)
4.059 * * [simplify]: iters left: 3 (48 enodes)
4.065 * * [simplify]: iters left: 2 (54 enodes)
4.072 * * [simplify]: Extracting #0: cost 1 inf + 0
4.072 * * [simplify]: Extracting #1: cost 4 inf + 0
4.072 * * [simplify]: Extracting #2: cost 9 inf + 1
4.073 * * [simplify]: Extracting #3: cost 5 inf + 1016
4.073 * * [simplify]: Extracting #4: cost 0 inf + 1263
4.073 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
4.073 * [simplify]: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))
4.073 * * * [progress]: adding candidates to table
4.950 * * [progress]: iteration 4 / 4
4.950 * * * [progress]: picking best candidate
4.968 * * * * [pick]: Picked  #<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))))))))>
4.968 * * * [progress]: localizing error
5.005 * * * [progress]: generating rewritten candidates
5.005 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
5.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
5.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
5.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.051 * * * [progress]: generating series expansions
5.051 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
5.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.052 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
5.052 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.052 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.052 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.052 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.052 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.052 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.052 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.052 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.053 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.054 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.055 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.056 * [backup-simplify]: Simplify 0 into 0
5.056 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.056 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.056 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
5.056 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.056 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.056 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.057 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.057 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.057 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.057 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.057 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.057 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.057 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.058 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.060 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.061 * [backup-simplify]: Simplify 0 into 0
5.062 * [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
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.063 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
5.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.063 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.063 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.063 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.063 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.063 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.064 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.064 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.064 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.065 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.066 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.067 * [backup-simplify]: Simplify 0 into 0
5.068 * [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
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.068 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
5.068 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.068 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
5.068 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.068 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.068 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.068 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.068 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.068 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.069 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.069 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.069 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.072 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.072 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.072 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
5.072 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.072 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.073 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.073 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.073 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.073 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.073 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.073 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.073 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.073 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.074 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.075 * [backup-simplify]: Simplify 0 into 0
5.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.076 * [backup-simplify]: Simplify 0 into 0
5.077 * [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
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.077 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.077 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
5.077 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.077 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.077 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.077 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.077 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.077 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.078 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.078 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.078 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.079 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.079 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.080 * [backup-simplify]: Simplify 0 into 0
5.081 * [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
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.081 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
5.082 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.082 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
5.082 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.082 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.082 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.082 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
5.082 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.082 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.082 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.082 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.082 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.083 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.084 * [backup-simplify]: Simplify 0 into 0
5.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.084 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.085 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.086 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.086 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0
5.086 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.086 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.086 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.086 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.086 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N
5.086 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.086 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.086 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.087 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.087 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.088 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
5.089 * [backup-simplify]: Simplify 0 into 0
5.090 * [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
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.090 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.090 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0
5.090 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.090 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.090 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.091 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.091 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N
5.091 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.091 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.091 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.091 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
5.091 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
5.094 * [backup-simplify]: Simplify 0 into 0
5.095 * [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
5.095 * [backup-simplify]: Simplify 0 into 0
5.095 * [backup-simplify]: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
5.095 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.095 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.095 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
5.095 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.095 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.096 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
5.096 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.096 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.096 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.096 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0
5.096 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.096 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.097 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N
5.097 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.097 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify 0 into 0
5.097 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.097 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.098 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0
5.098 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.098 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.098 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N
5.098 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.098 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
5.098 * * * [progress]: simplifying candidates
5.098 * * * * [progress]: [ 1 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))))>
5.098 * * * * [progress]: [ 2 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))))>
5.098 * * * * [progress]: [ 3 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
5.098 * * * * [progress]: [ 4 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
5.098 * * * * [progress]: [ 5 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
5.099 * * * * [progress]: [ 6 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
5.099 * * * * [progress]: [ 7 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
5.099 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
5.099 * * [simplify]: iters left: 6 (9 enodes)
5.103 * * [simplify]: iters left: 5 (33 enodes)
5.113 * * [simplify]: iters left: 4 (42 enodes)
5.125 * * [simplify]: iters left: 3 (44 enodes)
5.141 * * [simplify]: Extracting #0: cost 1 inf + 0
5.141 * * [simplify]: Extracting #1: cost 4 inf + 0
5.141 * * [simplify]: Extracting #2: cost 7 inf + 0
5.141 * * [simplify]: Extracting #3: cost 10 inf + 0
5.141 * * [simplify]: Extracting #4: cost 11 inf + 1
5.141 * * [simplify]: Extracting #5: cost 15 inf + 1
5.142 * * [simplify]: Extracting #6: cost 15 inf + 43
5.142 * * [simplify]: Extracting #7: cost 11 inf + 249
5.142 * * [simplify]: Extracting #8: cost 7 inf + 836
5.143 * * [simplify]: Extracting #9: cost 0 inf + 3310
5.144 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
5.144 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))
5.144 * * * * [progress]: [ 8 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
5.144 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
5.144 * * [simplify]: iters left: 6 (8 enodes)
5.148 * * [simplify]: iters left: 5 (29 enodes)
5.157 * * [simplify]: iters left: 4 (38 enodes)
5.168 * * [simplify]: iters left: 3 (40 enodes)
5.173 * * [simplify]: Extracting #0: cost 1 inf + 0
5.173 * * [simplify]: Extracting #1: cost 3 inf + 0
5.173 * * [simplify]: Extracting #2: cost 5 inf + 0
5.173 * * [simplify]: Extracting #3: cost 8 inf + 0
5.173 * * [simplify]: Extracting #4: cost 9 inf + 1
5.173 * * [simplify]: Extracting #5: cost 13 inf + 1
5.174 * * [simplify]: Extracting #6: cost 14 inf + 2
5.174 * * [simplify]: Extracting #7: cost 9 inf + 249
5.174 * * [simplify]: Extracting #8: cost 5 inf + 836
5.174 * * [simplify]: Extracting #9: cost 1 inf + 2044
5.174 * * [simplify]: Extracting #10: cost 0 inf + 2386
5.175 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
5.175 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))
5.175 * * * * [progress]: [ 9 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
5.175 * [simplify]: Simplifying (sqrt 1)
5.175 * * [simplify]: iters left: 1 (2 enodes)
5.177 * * [simplify]: Extracting #0: cost 1 inf + 0
5.177 * * [simplify]: Extracting #1: cost 0 inf + 1
5.177 * [simplify]: Simplified to 1
5.177 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
5.177 * * * * [progress]: [ 10 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))))))>
5.177 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.177 * * [simplify]: iters left: 6 (6 enodes)
5.179 * * [simplify]: iters left: 5 (23 enodes)
5.182 * * [simplify]: iters left: 4 (32 enodes)
5.187 * * [simplify]: iters left: 3 (34 enodes)
5.191 * * [simplify]: Extracting #0: cost 1 inf + 0
5.191 * * [simplify]: Extracting #1: cost 4 inf + 0
5.191 * * [simplify]: Extracting #2: cost 5 inf + 1
5.191 * * [simplify]: Extracting #3: cost 9 inf + 1
5.191 * * [simplify]: Extracting #4: cost 9 inf + 43
5.191 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.192 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.192 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))))))
5.192 * * * * [progress]: [ 11 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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))))))))))>
5.192 * * * * [progress]: [ 12 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
5.192 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.192 * * [simplify]: iters left: 6 (7 enodes)
5.194 * * [simplify]: iters left: 5 (26 enodes)
5.198 * * [simplify]: iters left: 4 (35 enodes)
5.207 * * [simplify]: iters left: 3 (37 enodes)
5.216 * * [simplify]: Extracting #0: cost 1 inf + 0
5.216 * * [simplify]: Extracting #1: cost 3 inf + 0
5.216 * * [simplify]: Extracting #2: cost 6 inf + 0
5.216 * * [simplify]: Extracting #3: cost 7 inf + 1
5.216 * * [simplify]: Extracting #4: cost 11 inf + 1
5.216 * * [simplify]: Extracting #5: cost 8 inf + 249
5.216 * * [simplify]: Extracting #6: cost 3 inf + 836
5.216 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.217 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.217 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.217 * [simplify]: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))))))
5.217 * * * * [progress]: [ 13 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
5.217 * * * * [progress]: [ 14 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
5.217 * * * * [progress]: [ 15 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 16 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 17 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 18 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 19 / 101 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 20 / 101 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.217 * * * * [progress]: [ 21 / 101 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.218 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
5.218 * * [simplify]: iters left: 6 (9 enodes)
5.220 * * [simplify]: iters left: 5 (33 enodes)
5.225 * * [simplify]: iters left: 4 (42 enodes)
5.231 * * [simplify]: iters left: 3 (44 enodes)
5.236 * * [simplify]: Extracting #0: cost 1 inf + 0
5.237 * * [simplify]: Extracting #1: cost 4 inf + 0
5.237 * * [simplify]: Extracting #2: cost 7 inf + 0
5.237 * * [simplify]: Extracting #3: cost 10 inf + 0
5.237 * * [simplify]: Extracting #4: cost 11 inf + 1
5.237 * * [simplify]: Extracting #5: cost 15 inf + 1
5.238 * * [simplify]: Extracting #6: cost 15 inf + 43
5.239 * * [simplify]: Extracting #7: cost 11 inf + 249
5.239 * * [simplify]: Extracting #8: cost 7 inf + 836
5.239 * * [simplify]: Extracting #9: cost 0 inf + 3310
5.239 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
5.240 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.240 * * * * [progress]: [ 22 / 101 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.240 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
5.240 * * [simplify]: iters left: 6 (8 enodes)
5.242 * * [simplify]: iters left: 5 (29 enodes)
5.251 * * [simplify]: iters left: 4 (38 enodes)
5.262 * * [simplify]: iters left: 3 (40 enodes)
5.273 * * [simplify]: Extracting #0: cost 1 inf + 0
5.273 * * [simplify]: Extracting #1: cost 3 inf + 0
5.273 * * [simplify]: Extracting #2: cost 5 inf + 0
5.273 * * [simplify]: Extracting #3: cost 8 inf + 0
5.273 * * [simplify]: Extracting #4: cost 9 inf + 1
5.273 * * [simplify]: Extracting #5: cost 13 inf + 1
5.273 * * [simplify]: Extracting #6: cost 14 inf + 2
5.274 * * [simplify]: Extracting #7: cost 9 inf + 249
5.274 * * [simplify]: Extracting #8: cost 5 inf + 836
5.274 * * [simplify]: Extracting #9: cost 1 inf + 2044
5.275 * * [simplify]: Extracting #10: cost 0 inf + 2386
5.276 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
5.276 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.276 * * * * [progress]: [ 23 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.276 * [simplify]: Simplifying (sqrt 1)
5.276 * * [simplify]: iters left: 1 (2 enodes)
5.280 * * [simplify]: Extracting #0: cost 1 inf + 0
5.280 * * [simplify]: Extracting #1: cost 0 inf + 1
5.280 * [simplify]: Simplified to 1
5.280 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.280 * * * * [progress]: [ 24 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.281 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.281 * * [simplify]: iters left: 6 (6 enodes)
5.284 * * [simplify]: iters left: 5 (23 enodes)
5.289 * * [simplify]: iters left: 4 (32 enodes)
5.294 * * [simplify]: iters left: 3 (34 enodes)
5.298 * * [simplify]: Extracting #0: cost 1 inf + 0
5.298 * * [simplify]: Extracting #1: cost 4 inf + 0
5.298 * * [simplify]: Extracting #2: cost 5 inf + 1
5.298 * * [simplify]: Extracting #3: cost 9 inf + 1
5.298 * * [simplify]: Extracting #4: cost 9 inf + 43
5.298 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.299 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.299 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.299 * * * * [progress]: [ 25 / 101 ] simplifiying candidate #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.299 * * * * [progress]: [ 26 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.299 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.299 * * [simplify]: iters left: 6 (7 enodes)
5.301 * * [simplify]: iters left: 5 (26 enodes)
5.305 * * [simplify]: iters left: 4 (35 enodes)
5.310 * * [simplify]: iters left: 3 (37 enodes)
5.319 * * [simplify]: Extracting #0: cost 1 inf + 0
5.319 * * [simplify]: Extracting #1: cost 3 inf + 0
5.319 * * [simplify]: Extracting #2: cost 6 inf + 0
5.319 * * [simplify]: Extracting #3: cost 7 inf + 1
5.319 * * [simplify]: Extracting #4: cost 11 inf + 1
5.320 * * [simplify]: Extracting #5: cost 8 inf + 249
5.320 * * [simplify]: Extracting #6: cost 3 inf + 836
5.320 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.321 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.321 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.321 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.321 * * * * [progress]: [ 27 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 28 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 29 / 101 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 30 / 101 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 31 / 101 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 32 / 101 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 33 / 101 ] 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 34 / 101 ] 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * * * * [progress]: [ 35 / 101 ] 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.322 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
5.323 * * [simplify]: iters left: 6 (9 enodes)
5.327 * * [simplify]: iters left: 5 (33 enodes)
5.337 * * [simplify]: iters left: 4 (42 enodes)
5.349 * * [simplify]: iters left: 3 (44 enodes)
5.355 * * [simplify]: Extracting #0: cost 1 inf + 0
5.355 * * [simplify]: Extracting #1: cost 4 inf + 0
5.355 * * [simplify]: Extracting #2: cost 7 inf + 0
5.355 * * [simplify]: Extracting #3: cost 10 inf + 0
5.355 * * [simplify]: Extracting #4: cost 11 inf + 1
5.355 * * [simplify]: Extracting #5: cost 15 inf + 1
5.355 * * [simplify]: Extracting #6: cost 15 inf + 43
5.355 * * [simplify]: Extracting #7: cost 11 inf + 249
5.355 * * [simplify]: Extracting #8: cost 7 inf + 836
5.355 * * [simplify]: Extracting #9: cost 0 inf + 3310
5.356 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
5.356 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.356 * * * * [progress]: [ 36 / 101 ] 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))))))))>
5.356 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
5.356 * * [simplify]: iters left: 6 (8 enodes)
5.358 * * [simplify]: iters left: 5 (29 enodes)
5.364 * * [simplify]: iters left: 4 (38 enodes)
5.370 * * [simplify]: iters left: 3 (40 enodes)
5.375 * * [simplify]: Extracting #0: cost 1 inf + 0
5.375 * * [simplify]: Extracting #1: cost 3 inf + 0
5.375 * * [simplify]: Extracting #2: cost 5 inf + 0
5.375 * * [simplify]: Extracting #3: cost 8 inf + 0
5.375 * * [simplify]: Extracting #4: cost 9 inf + 1
5.375 * * [simplify]: Extracting #5: cost 13 inf + 1
5.375 * * [simplify]: Extracting #6: cost 14 inf + 2
5.375 * * [simplify]: Extracting #7: cost 9 inf + 249
5.376 * * [simplify]: Extracting #8: cost 5 inf + 836
5.376 * * [simplify]: Extracting #9: cost 1 inf + 2044
5.376 * * [simplify]: Extracting #10: cost 0 inf + 2386
5.376 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
5.376 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.377 * * * * [progress]: [ 37 / 101 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.377 * [simplify]: Simplifying (sqrt 1)
5.377 * * [simplify]: iters left: 1 (2 enodes)
5.379 * * [simplify]: Extracting #0: cost 1 inf + 0
5.379 * * [simplify]: Extracting #1: cost 0 inf + 1
5.379 * [simplify]: Simplified to 1
5.379 * [simplify]: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.379 * * * * [progress]: [ 38 / 101 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) (/ 1 2)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.379 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.379 * * [simplify]: iters left: 6 (6 enodes)
5.381 * * [simplify]: iters left: 5 (23 enodes)
5.386 * * [simplify]: iters left: 4 (32 enodes)
5.396 * * [simplify]: iters left: 3 (34 enodes)
5.405 * * [simplify]: Extracting #0: cost 1 inf + 0
5.406 * * [simplify]: Extracting #1: cost 4 inf + 0
5.406 * * [simplify]: Extracting #2: cost 5 inf + 1
5.406 * * [simplify]: Extracting #3: cost 9 inf + 1
5.406 * * [simplify]: Extracting #4: cost 9 inf + 43
5.406 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.407 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.407 * [simplify]: Simplified (2 1 1) to (λ (N) (* (pow (atan2 1 (+ (+ N (* N N)) 1)) (/ 1 2)) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.407 * * * * [progress]: [ 39 / 101 ] 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))))))))>
5.407 * * * * [progress]: [ 40 / 101 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.407 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.407 * * [simplify]: iters left: 6 (7 enodes)
5.411 * * [simplify]: iters left: 5 (26 enodes)
5.419 * * [simplify]: iters left: 4 (35 enodes)
5.429 * * [simplify]: iters left: 3 (37 enodes)
5.438 * * [simplify]: Extracting #0: cost 1 inf + 0
5.439 * * [simplify]: Extracting #1: cost 3 inf + 0
5.439 * * [simplify]: Extracting #2: cost 6 inf + 0
5.439 * * [simplify]: Extracting #3: cost 7 inf + 1
5.439 * * [simplify]: Extracting #4: cost 11 inf + 1
5.439 * * [simplify]: Extracting #5: cost 8 inf + 249
5.439 * * [simplify]: Extracting #6: cost 3 inf + 836
5.440 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.440 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.441 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.441 * [simplify]: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
5.441 * * * * [progress]: [ 41 / 101 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.441 * * * * [progress]: [ 42 / 101 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
5.441 * * * * [progress]: [ 43 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))))>
5.441 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.441 * * [simplify]: iters left: 6 (6 enodes)
5.445 * * [simplify]: iters left: 5 (23 enodes)
5.452 * * [simplify]: iters left: 4 (32 enodes)
5.462 * * [simplify]: iters left: 3 (34 enodes)
5.471 * * [simplify]: Extracting #0: cost 1 inf + 0
5.471 * * [simplify]: Extracting #1: cost 4 inf + 0
5.471 * * [simplify]: Extracting #2: cost 5 inf + 1
5.471 * * [simplify]: Extracting #3: cost 9 inf + 1
5.471 * * [simplify]: Extracting #4: cost 9 inf + 43
5.471 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.471 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.472 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))))
5.472 * [simplify]: Simplifying (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))
5.472 * * [simplify]: iters left: 6 (5 enodes)
5.476 * * [simplify]: iters left: 5 (20 enodes)
5.480 * * [simplify]: iters left: 4 (23 enodes)
5.483 * * [simplify]: iters left: 3 (25 enodes)
5.487 * * [simplify]: iters left: 2 (27 enodes)
5.493 * * [simplify]: Extracting #0: cost 1 inf + 0
5.493 * * [simplify]: Extracting #1: cost 0 inf + 1
5.493 * [simplify]: Simplified to 1
5.493 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.493 * * * * [progress]: [ 44 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))))>
5.494 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.494 * * [simplify]: iters left: 6 (6 enodes)
5.496 * * [simplify]: iters left: 5 (23 enodes)
5.499 * * [simplify]: iters left: 4 (32 enodes)
5.505 * * [simplify]: iters left: 3 (34 enodes)
5.514 * * [simplify]: Extracting #0: cost 1 inf + 0
5.514 * * [simplify]: Extracting #1: cost 4 inf + 0
5.514 * * [simplify]: Extracting #2: cost 5 inf + 1
5.514 * * [simplify]: Extracting #3: cost 9 inf + 1
5.514 * * [simplify]: Extracting #4: cost 9 inf + 43
5.514 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.515 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.515 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))))
5.516 * [simplify]: Simplifying (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))
5.516 * * [simplify]: iters left: 6 (8 enodes)
5.526 * * [simplify]: iters left: 5 (35 enodes)
5.544 * * [simplify]: iters left: 4 (49 enodes)
5.553 * * [simplify]: Extracting #0: cost 1 inf + 0
5.553 * * [simplify]: Extracting #1: cost 0 inf + 1
5.553 * [simplify]: Simplified to 1
5.553 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.554 * * * * [progress]: [ 45 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))))>
5.554 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.554 * * [simplify]: iters left: 6 (6 enodes)
5.557 * * [simplify]: iters left: 5 (23 enodes)
5.564 * * [simplify]: iters left: 4 (32 enodes)
5.574 * * [simplify]: iters left: 3 (34 enodes)
5.583 * * [simplify]: Extracting #0: cost 1 inf + 0
5.583 * * [simplify]: Extracting #1: cost 4 inf + 0
5.583 * * [simplify]: Extracting #2: cost 5 inf + 1
5.583 * * [simplify]: Extracting #3: cost 9 inf + 1
5.583 * * [simplify]: Extracting #4: cost 9 inf + 43
5.584 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.584 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.584 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))))
5.584 * [simplify]: Simplifying (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))
5.585 * * [simplify]: iters left: 6 (8 enodes)
5.592 * * [simplify]: iters left: 5 (34 enodes)
5.607 * * [simplify]: iters left: 4 (52 enodes)
5.613 * * [simplify]: Extracting #0: cost 1 inf + 0
5.613 * * [simplify]: Extracting #1: cost 0 inf + 1
5.613 * [simplify]: Simplified to 1
5.613 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.613 * * * * [progress]: [ 46 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))))>
5.613 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.613 * * [simplify]: iters left: 6 (6 enodes)
5.615 * * [simplify]: iters left: 5 (23 enodes)
5.619 * * [simplify]: iters left: 4 (32 enodes)
5.627 * * [simplify]: iters left: 3 (34 enodes)
5.632 * * [simplify]: Extracting #0: cost 1 inf + 0
5.632 * * [simplify]: Extracting #1: cost 4 inf + 0
5.632 * * [simplify]: Extracting #2: cost 5 inf + 1
5.632 * * [simplify]: Extracting #3: cost 9 inf + 1
5.632 * * [simplify]: Extracting #4: cost 9 inf + 43
5.632 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.632 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.632 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))))
5.632 * [simplify]: Simplifying (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
5.633 * * [simplify]: iters left: 6 (7 enodes)
5.640 * * [simplify]: iters left: 5 (31 enodes)
5.652 * * [simplify]: iters left: 4 (37 enodes)
5.661 * * [simplify]: Extracting #0: cost 1 inf + 0
5.661 * * [simplify]: Extracting #1: cost 0 inf + 1
5.661 * [simplify]: Simplified to 1
5.662 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.662 * * * * [progress]: [ 47 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (* 2 (/ 1/2 2)))))>
5.662 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.662 * * [simplify]: iters left: 6 (6 enodes)
5.665 * * [simplify]: iters left: 5 (23 enodes)
5.673 * * [simplify]: iters left: 4 (32 enodes)
5.682 * * [simplify]: iters left: 3 (34 enodes)
5.686 * * [simplify]: Extracting #0: cost 1 inf + 0
5.686 * * [simplify]: Extracting #1: cost 4 inf + 0
5.686 * * [simplify]: Extracting #2: cost 5 inf + 1
5.686 * * [simplify]: Extracting #3: cost 9 inf + 1
5.686 * * [simplify]: Extracting #4: cost 9 inf + 43
5.686 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.687 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.687 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (* 2 (/ 1/2 2)))))
5.687 * [simplify]: Simplifying (+ 1/2 (* 2 (/ 1/2 2)))
5.687 * * [simplify]: iters left: 6 (5 enodes)
5.691 * * [simplify]: iters left: 5 (21 enodes)
5.695 * * [simplify]: iters left: 4 (25 enodes)
5.699 * * [simplify]: iters left: 3 (27 enodes)
5.703 * * [simplify]: Extracting #0: cost 1 inf + 0
5.703 * * [simplify]: Extracting #1: cost 0 inf + 1
5.703 * [simplify]: Simplified to 1
5.703 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.703 * * * * [progress]: [ 48 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 (* 2 (/ (/ 1 2) 2)))))>
5.703 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
5.703 * * [simplify]: iters left: 6 (6 enodes)
5.704 * * [simplify]: iters left: 5 (23 enodes)
5.708 * * [simplify]: iters left: 4 (32 enodes)
5.716 * * [simplify]: iters left: 3 (34 enodes)
5.725 * * [simplify]: Extracting #0: cost 1 inf + 0
5.725 * * [simplify]: Extracting #1: cost 4 inf + 0
5.725 * * [simplify]: Extracting #2: cost 5 inf + 1
5.725 * * [simplify]: Extracting #3: cost 9 inf + 1
5.725 * * [simplify]: Extracting #4: cost 9 inf + 43
5.725 * * [simplify]: Extracting #5: cost 0 inf + 1098
5.726 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
5.726 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ 1/2 (* 2 (/ (/ 1 2) 2)))))
5.726 * [simplify]: Simplifying (+ 1/2 (* 2 (/ (/ 1 2) 2)))
5.726 * * [simplify]: iters left: 6 (7 enodes)
5.736 * * [simplify]: iters left: 5 (31 enodes)
5.745 * * [simplify]: iters left: 4 (35 enodes)
5.758 * * [simplify]: Extracting #0: cost 1 inf + 0
5.758 * * [simplify]: Extracting #1: cost 0 inf + 1
5.758 * [simplify]: Simplified to 1
5.758 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
5.758 * * * * [progress]: [ 49 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ 1/2 1/2))))>
5.759 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.759 * * [simplify]: iters left: 6 (7 enodes)
5.762 * * [simplify]: iters left: 5 (26 enodes)
5.771 * * [simplify]: iters left: 4 (35 enodes)
5.780 * * [simplify]: iters left: 3 (37 enodes)
5.789 * * [simplify]: Extracting #0: cost 1 inf + 0
5.789 * * [simplify]: Extracting #1: cost 3 inf + 0
5.789 * * [simplify]: Extracting #2: cost 6 inf + 0
5.790 * * [simplify]: Extracting #3: cost 7 inf + 1
5.790 * * [simplify]: Extracting #4: cost 11 inf + 1
5.790 * * [simplify]: Extracting #5: cost 8 inf + 249
5.790 * * [simplify]: Extracting #6: cost 3 inf + 836
5.790 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.791 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.791 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.791 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (+ 1/2 1/2))))
5.792 * [simplify]: Simplifying (+ 1 (+ 1/2 1/2))
5.792 * * [simplify]: iters left: 4 (4 enodes)
5.798 * * [simplify]: iters left: 3 (19 enodes)
5.803 * * [simplify]: iters left: 2 (23 enodes)
5.810 * * [simplify]: Extracting #0: cost 1 inf + 0
5.810 * * [simplify]: Extracting #1: cost 0 inf + 1
5.810 * [simplify]: Simplified to 2
5.810 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
5.811 * * * * [progress]: [ 50 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ 1/2 (/ 1 2)))))>
5.811 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.811 * * [simplify]: iters left: 6 (7 enodes)
5.813 * * [simplify]: iters left: 5 (26 enodes)
5.816 * * [simplify]: iters left: 4 (35 enodes)
5.822 * * [simplify]: iters left: 3 (37 enodes)
5.826 * * [simplify]: Extracting #0: cost 1 inf + 0
5.826 * * [simplify]: Extracting #1: cost 3 inf + 0
5.826 * * [simplify]: Extracting #2: cost 6 inf + 0
5.827 * * [simplify]: Extracting #3: cost 7 inf + 1
5.827 * * [simplify]: Extracting #4: cost 11 inf + 1
5.827 * * [simplify]: Extracting #5: cost 8 inf + 249
5.827 * * [simplify]: Extracting #6: cost 3 inf + 836
5.827 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.827 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.828 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.828 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (+ 1/2 (/ 1 2)))))
5.828 * [simplify]: Simplifying (+ 1 (+ 1/2 (/ 1 2)))
5.828 * * [simplify]: iters left: 6 (6 enodes)
5.831 * * [simplify]: iters left: 5 (25 enodes)
5.836 * * [simplify]: iters left: 4 (29 enodes)
5.839 * * [simplify]: Extracting #0: cost 1 inf + 0
5.839 * * [simplify]: Extracting #1: cost 0 inf + 1
5.839 * [simplify]: Simplified to 2
5.839 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
5.839 * * * * [progress]: [ 51 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ (/ 1 2) 1/2))))>
5.840 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.840 * * [simplify]: iters left: 6 (7 enodes)
5.841 * * [simplify]: iters left: 5 (26 enodes)
5.848 * * [simplify]: iters left: 4 (35 enodes)
5.858 * * [simplify]: iters left: 3 (37 enodes)
5.863 * * [simplify]: Extracting #0: cost 1 inf + 0
5.863 * * [simplify]: Extracting #1: cost 3 inf + 0
5.863 * * [simplify]: Extracting #2: cost 6 inf + 0
5.863 * * [simplify]: Extracting #3: cost 7 inf + 1
5.863 * * [simplify]: Extracting #4: cost 11 inf + 1
5.863 * * [simplify]: Extracting #5: cost 8 inf + 249
5.863 * * [simplify]: Extracting #6: cost 3 inf + 836
5.863 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.864 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.864 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.864 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (+ (/ 1 2) 1/2))))
5.864 * [simplify]: Simplifying (+ 1 (+ (/ 1 2) 1/2))
5.864 * * [simplify]: iters left: 6 (6 enodes)
5.872 * * [simplify]: iters left: 5 (25 enodes)
5.876 * * [simplify]: iters left: 4 (29 enodes)
5.880 * * [simplify]: Extracting #0: cost 1 inf + 0
5.880 * * [simplify]: Extracting #1: cost 0 inf + 1
5.880 * [simplify]: Simplified to 2
5.880 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
5.880 * * * * [progress]: [ 52 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ (/ 1 2) (/ 1 2)))))>
5.880 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.880 * * [simplify]: iters left: 6 (7 enodes)
5.882 * * [simplify]: iters left: 5 (26 enodes)
5.886 * * [simplify]: iters left: 4 (35 enodes)
5.891 * * [simplify]: iters left: 3 (37 enodes)
5.897 * * [simplify]: Extracting #0: cost 1 inf + 0
5.897 * * [simplify]: Extracting #1: cost 3 inf + 0
5.897 * * [simplify]: Extracting #2: cost 6 inf + 0
5.897 * * [simplify]: Extracting #3: cost 7 inf + 1
5.898 * * [simplify]: Extracting #4: cost 11 inf + 1
5.898 * * [simplify]: Extracting #5: cost 8 inf + 249
5.898 * * [simplify]: Extracting #6: cost 3 inf + 836
5.898 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.899 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.899 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.899 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (+ (/ 1 2) (/ 1 2)))))
5.900 * [simplify]: Simplifying (+ 1 (+ (/ 1 2) (/ 1 2)))
5.900 * * [simplify]: iters left: 6 (5 enodes)
5.906 * * [simplify]: iters left: 5 (22 enodes)
5.914 * * [simplify]: iters left: 4 (26 enodes)
5.921 * * [simplify]: Extracting #0: cost 1 inf + 0
5.921 * * [simplify]: Extracting #1: cost 0 inf + 1
5.921 * [simplify]: Simplified to 2
5.921 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
5.922 * * * * [progress]: [ 53 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (* 2 1/2))))>
5.922 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.922 * * [simplify]: iters left: 6 (7 enodes)
5.925 * * [simplify]: iters left: 5 (26 enodes)
5.933 * * [simplify]: iters left: 4 (35 enodes)
5.944 * * [simplify]: iters left: 3 (37 enodes)
5.954 * * [simplify]: Extracting #0: cost 1 inf + 0
5.954 * * [simplify]: Extracting #1: cost 3 inf + 0
5.954 * * [simplify]: Extracting #2: cost 6 inf + 0
5.954 * * [simplify]: Extracting #3: cost 7 inf + 1
5.954 * * [simplify]: Extracting #4: cost 11 inf + 1
5.954 * * [simplify]: Extracting #5: cost 8 inf + 249
5.954 * * [simplify]: Extracting #6: cost 3 inf + 836
5.955 * * [simplify]: Extracting #7: cost 1 inf + 1400
5.955 * * [simplify]: Extracting #8: cost 0 inf + 1702
5.956 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
5.956 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (* 2 1/2))))
5.956 * [simplify]: Simplifying (+ 1 (* 2 1/2))
5.956 * * [simplify]: iters left: 4 (5 enodes)
5.962 * * [simplify]: iters left: 3 (19 enodes)
5.970 * * [simplify]: iters left: 2 (21 enodes)
5.975 * * [simplify]: Extracting #0: cost 1 inf + 0
5.975 * * [simplify]: Extracting #1: cost 0 inf + 1
5.975 * [simplify]: Simplified to 2
5.975 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
5.975 * * * * [progress]: [ 54 / 101 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (* 2 (/ 1 2)))))>
5.976 * [simplify]: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
5.976 * * [simplify]: iters left: 6 (7 enodes)
5.980 * * [simplify]: iters left: 5 (26 enodes)
5.987 * * [simplify]: iters left: 4 (35 enodes)
5.998 * * [simplify]: iters left: 3 (37 enodes)
6.011 * * [simplify]: Extracting #0: cost 1 inf + 0
6.011 * * [simplify]: Extracting #1: cost 3 inf + 0
6.011 * * [simplify]: Extracting #2: cost 6 inf + 0
6.011 * * [simplify]: Extracting #3: cost 7 inf + 1
6.011 * * [simplify]: Extracting #4: cost 11 inf + 1
6.011 * * [simplify]: Extracting #5: cost 8 inf + 249
6.011 * * [simplify]: Extracting #6: cost 3 inf + 836
6.012 * * [simplify]: Extracting #7: cost 1 inf + 1400
6.012 * * [simplify]: Extracting #8: cost 0 inf + 1702
6.013 * [simplify]: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))
6.013 * [simplify]: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) (+ 1 (* 2 (/ 1 2)))))
6.013 * [simplify]: Simplifying (+ 1 (* 2 (/ 1 2)))
6.013 * * [simplify]: iters left: 6 (5 enodes)
6.020 * * [simplify]: iters left: 5 (17 enodes)
6.024 * * [simplify]: iters left: 4 (19 enodes)
6.030 * * [simplify]: Extracting #0: cost 1 inf + 0
6.030 * * [simplify]: Extracting #1: cost 0 inf + 1
6.030 * [simplify]: Simplified to 2
6.030 * [simplify]: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))
6.030 * * * * [progress]: [ 55 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))))>
6.030 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.031 * * [simplify]: iters left: 6 (6 enodes)
6.034 * * [simplify]: iters left: 5 (23 enodes)
6.041 * * [simplify]: iters left: 4 (32 enodes)
6.047 * * [simplify]: iters left: 3 (34 enodes)
6.051 * * [simplify]: Extracting #0: cost 1 inf + 0
6.051 * * [simplify]: Extracting #1: cost 4 inf + 0
6.051 * * [simplify]: Extracting #2: cost 5 inf + 1
6.051 * * [simplify]: Extracting #3: cost 9 inf + 1
6.051 * * [simplify]: Extracting #4: cost 9 inf + 43
6.051 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.051 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.051 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))))
6.052 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))
6.052 * * [simplify]: iters left: 6 (7 enodes)
6.056 * * [simplify]: iters left: 5 (28 enodes)
6.062 * * [simplify]: iters left: 4 (32 enodes)
6.067 * * [simplify]: Extracting #0: cost 1 inf + 0
6.067 * * [simplify]: Extracting #1: cost 0 inf + 1
6.067 * [simplify]: Simplified to 1
6.067 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.067 * * * * [progress]: [ 56 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))))>
6.067 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.067 * * [simplify]: iters left: 6 (6 enodes)
6.069 * * [simplify]: iters left: 5 (23 enodes)
6.072 * * [simplify]: iters left: 4 (32 enodes)
6.079 * * [simplify]: iters left: 3 (34 enodes)
6.087 * * [simplify]: Extracting #0: cost 1 inf + 0
6.087 * * [simplify]: Extracting #1: cost 4 inf + 0
6.087 * * [simplify]: Extracting #2: cost 5 inf + 1
6.087 * * [simplify]: Extracting #3: cost 9 inf + 1
6.087 * * [simplify]: Extracting #4: cost 9 inf + 43
6.088 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.088 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.088 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))))
6.089 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))
6.089 * * [simplify]: iters left: 6 (8 enodes)
6.094 * * [simplify]: iters left: 5 (34 enodes)
6.105 * * [simplify]: iters left: 4 (52 enodes)
6.110 * * [simplify]: Extracting #0: cost 1 inf + 0
6.110 * * [simplify]: Extracting #1: cost 0 inf + 1
6.110 * [simplify]: Simplified to 1
6.110 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.110 * * * * [progress]: [ 57 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))))>
6.110 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.110 * * [simplify]: iters left: 6 (6 enodes)
6.112 * * [simplify]: iters left: 5 (23 enodes)
6.119 * * [simplify]: iters left: 4 (32 enodes)
6.124 * * [simplify]: iters left: 3 (34 enodes)
6.128 * * [simplify]: Extracting #0: cost 1 inf + 0
6.128 * * [simplify]: Extracting #1: cost 4 inf + 0
6.128 * * [simplify]: Extracting #2: cost 5 inf + 1
6.128 * * [simplify]: Extracting #3: cost 9 inf + 1
6.128 * * [simplify]: Extracting #4: cost 9 inf + 43
6.128 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.128 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.128 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))))
6.129 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))
6.129 * * [simplify]: iters left: 6 (8 enodes)
6.135 * * [simplify]: iters left: 5 (34 enodes)
6.154 * * [simplify]: iters left: 4 (52 enodes)
6.163 * * [simplify]: Extracting #0: cost 1 inf + 0
6.164 * * [simplify]: Extracting #1: cost 0 inf + 1
6.164 * [simplify]: Simplified to 1
6.164 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.164 * * * * [progress]: [ 58 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))))>
6.164 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.164 * * [simplify]: iters left: 6 (6 enodes)
6.168 * * [simplify]: iters left: 5 (23 enodes)
6.174 * * [simplify]: iters left: 4 (32 enodes)
6.184 * * [simplify]: iters left: 3 (34 enodes)
6.192 * * [simplify]: Extracting #0: cost 1 inf + 0
6.192 * * [simplify]: Extracting #1: cost 4 inf + 0
6.192 * * [simplify]: Extracting #2: cost 5 inf + 1
6.192 * * [simplify]: Extracting #3: cost 9 inf + 1
6.192 * * [simplify]: Extracting #4: cost 9 inf + 43
6.193 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.193 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.193 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))))
6.193 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
6.194 * * [simplify]: iters left: 6 (6 enodes)
6.200 * * [simplify]: iters left: 5 (28 enodes)
6.214 * * [simplify]: iters left: 4 (42 enodes)
6.222 * * [simplify]: Extracting #0: cost 1 inf + 0
6.222 * * [simplify]: Extracting #1: cost 0 inf + 1
6.222 * [simplify]: Simplified to 1
6.222 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.222 * * * * [progress]: [ 59 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (* 2 (/ 1/2 2)))))>
6.223 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.223 * * [simplify]: iters left: 6 (6 enodes)
6.226 * * [simplify]: iters left: 5 (23 enodes)
6.232 * * [simplify]: iters left: 4 (32 enodes)
6.241 * * [simplify]: iters left: 3 (34 enodes)
6.250 * * [simplify]: Extracting #0: cost 1 inf + 0
6.250 * * [simplify]: Extracting #1: cost 4 inf + 0
6.250 * * [simplify]: Extracting #2: cost 5 inf + 1
6.250 * * [simplify]: Extracting #3: cost 9 inf + 1
6.250 * * [simplify]: Extracting #4: cost 9 inf + 43
6.250 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.251 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.251 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (* 2 (/ 1/2 2)))))
6.251 * [simplify]: Simplifying (+ (/ 1 2) (* 2 (/ 1/2 2)))
6.251 * * [simplify]: iters left: 6 (7 enodes)
6.262 * * [simplify]: iters left: 5 (28 enodes)
6.271 * * [simplify]: iters left: 4 (30 enodes)
6.277 * * [simplify]: Extracting #0: cost 1 inf + 0
6.278 * * [simplify]: Extracting #1: cost 0 inf + 1
6.278 * [simplify]: Simplified to 1
6.278 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.278 * * * * [progress]: [ 60 / 101 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))))>
6.278 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
6.278 * * [simplify]: iters left: 6 (6 enodes)
6.281 * * [simplify]: iters left: 5 (23 enodes)
6.288 * * [simplify]: iters left: 4 (32 enodes)
6.298 * * [simplify]: iters left: 3 (34 enodes)
6.306 * * [simplify]: Extracting #0: cost 1 inf + 0
6.306 * * [simplify]: Extracting #1: cost 4 inf + 0
6.306 * * [simplify]: Extracting #2: cost 5 inf + 1
6.306 * * [simplify]: Extracting #3: cost 9 inf + 1
6.306 * * [simplify]: Extracting #4: cost 9 inf + 43
6.306 * * [simplify]: Extracting #5: cost 0 inf + 1098
6.307 * [simplify]: Simplified to (atan2 1 (+ (+ N (* N N)) 1))
6.307 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N (* N N)) 1)) (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))))
6.307 * [simplify]: Simplifying (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))
6.307 * * [simplify]: iters left: 6 (6 enodes)
6.315 * * [simplify]: iters left: 5 (29 enodes)
6.322 * * [simplify]: iters left: 4 (33 enodes)
6.329 * * [simplify]: Extracting #0: cost 1 inf + 0
6.329 * * [simplify]: Extracting #1: cost 0 inf + 1
6.330 * [simplify]: Simplified to 1
6.330 * [simplify]: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))
6.330 * * * * [progress]: [ 61 / 101 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1/2))>
6.330 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
6.330 * * [simplify]: iters left: 6 (9 enodes)
6.334 * * [simplify]: iters left: 5 (33 enodes)
6.344 * * [simplify]: iters left: 4 (47 enodes)
6.357 * * [simplify]: iters left: 3 (51 enodes)
6.371 * * [simplify]: iters left: 2 (61 enodes)
6.388 * * [simplify]: iters left: 1 (81 enodes)
6.410 * * [simplify]: Extracting #0: cost 1 inf + 0
6.411 * * [simplify]: Extracting #1: cost 11 inf + 0
6.411 * * [simplify]: Extracting #2: cost 27 inf + 1
6.411 * * [simplify]: Extracting #3: cost 24 inf + 7
6.411 * * [simplify]: Extracting #4: cost 27 inf + 8
6.411 * * [simplify]: Extracting #5: cost 28 inf + 9
6.411 * * [simplify]: Extracting #6: cost 22 inf + 420
6.411 * * [simplify]: Extracting #7: cost 16 inf + 1709
6.412 * * [simplify]: Extracting #8: cost 5 inf + 6588
6.413 * * [simplify]: Extracting #9: cost 0 inf + 9524
6.414 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
6.414 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 1/2))
6.414 * * * * [progress]: [ 62 / 101 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
6.415 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
6.415 * * [simplify]: iters left: 6 (10 enodes)
6.417 * * [simplify]: iters left: 5 (36 enodes)
6.423 * * [simplify]: iters left: 4 (50 enodes)
6.429 * * [simplify]: iters left: 3 (55 enodes)
6.437 * * [simplify]: iters left: 2 (65 enodes)
6.447 * * [simplify]: iters left: 1 (85 enodes)
6.461 * * [simplify]: Extracting #0: cost 1 inf + 0
6.461 * * [simplify]: Extracting #1: cost 13 inf + 0
6.461 * * [simplify]: Extracting #2: cost 28 inf + 2
6.461 * * [simplify]: Extracting #3: cost 28 inf + 7
6.461 * * [simplify]: Extracting #4: cost 28 inf + 9
6.461 * * [simplify]: Extracting #5: cost 20 inf + 984
6.462 * * [simplify]: Extracting #6: cost 17 inf + 1408
6.462 * * [simplify]: Extracting #7: cost 6 inf + 6937
6.464 * * [simplify]: Extracting #8: cost 0 inf + 10164
6.465 * [simplify]: Simplified to (atan2 1 (+ (* (+ N 1) N) 1))
6.465 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* (+ N 1) N) 1)) 1))
6.465 * * * * [progress]: [ 63 / 101 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
6.465 * [simplify]: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
6.465 * * [simplify]: iters left: 6 (10 enodes)
6.468 * * [simplify]: iters left: 5 (36 enodes)
6.474 * * [simplify]: iters left: 4 (50 enodes)
6.480 * * [simplify]: iters left: 3 (55 enodes)
6.491 * * [simplify]: iters left: 2 (65 enodes)
6.505 * * [simplify]: iters left: 1 (85 enodes)
6.531 * * [simplify]: Extracting #0: cost 1 inf + 0
6.531 * * [simplify]: Extracting #1: cost 13 inf + 0
6.531 * * [simplify]: Extracting #2: cost 28 inf + 2
6.532 * * [simplify]: Extracting #3: cost 28 inf + 7
6.532 * * [simplify]: Extracting #4: cost 28 inf + 9
6.532 * * [simplify]: Extracting #5: cost 20 inf + 984
6.533 * * [simplify]: Extracting #6: cost 17 inf + 1408
6.535 * * [simplify]: Extracting #7: cost 6 inf + 6937
6.536 * * [simplify]: Extracting #8: cost 0 inf + 10164
6.537 * [simplify]: Simplified to (atan2 1 (+ (* (+ N 1) N) 1))
6.537 * [simplify]: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* (+ N 1) N) 1)) 1))
6.537 * * * * [progress]: [ 64 / 101 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (/ 1 2)))>
6.537 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
6.537 * * [simplify]: iters left: 6 (9 enodes)
6.540 * * [simplify]: iters left: 5 (33 enodes)
6.545 * * [simplify]: iters left: 4 (47 enodes)
6.551 * * [simplify]: iters left: 3 (51 enodes)
6.560 * * [simplify]: iters left: 2 (61 enodes)
6.576 * * [simplify]: iters left: 1 (81 enodes)
6.596 * * [simplify]: Extracting #0: cost 1 inf + 0
6.596 * * [simplify]: Extracting #1: cost 11 inf + 0
6.596 * * [simplify]: Extracting #2: cost 27 inf + 1
6.596 * * [simplify]: Extracting #3: cost 24 inf + 7
6.596 * * [simplify]: Extracting #4: cost 27 inf + 8
6.596 * * [simplify]: Extracting #5: cost 28 inf + 9
6.596 * * [simplify]: Extracting #6: cost 22 inf + 420
6.597 * * [simplify]: Extracting #7: cost 16 inf + 1709
6.597 * * [simplify]: Extracting #8: cost 5 inf + 6588
6.598 * * [simplify]: Extracting #9: cost 0 inf + 9524
6.600 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
6.600 * [simplify]: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (/ 1 2)))
6.600 * [simplify]: Simplifying (/ 1 2)
6.600 * * [simplify]: iters left: 2 (3 enodes)
6.602 * * [simplify]: iters left: 1 (12 enodes)
6.605 * * [simplify]: Extracting #0: cost 1 inf + 0
6.605 * * [simplify]: Extracting #1: cost 0 inf + 1
6.605 * [simplify]: Simplified to 1/2
6.605 * [simplify]: Simplified (2 2) to (λ (N) (pow (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) 1/2))
6.605 * * * * [progress]: [ 65 / 101 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
6.605 * * * * [progress]: [ 66 / 101 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
6.605 * [simplify]: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
6.605 * * [simplify]: iters left: 6 (12 enodes)
6.608 * * [simplify]: iters left: 5 (44 enodes)
6.614 * * [simplify]: iters left: 4 (57 enodes)
6.624 * * [simplify]: iters left: 3 (59 enodes)
6.638 * * [simplify]: Extracting #0: cost 1 inf + 0
6.638 * * [simplify]: Extracting #1: cost 6 inf + 0
6.638 * * [simplify]: Extracting #2: cost 12 inf + 0
6.638 * * [simplify]: Extracting #3: cost 15 inf + 0
6.639 * * [simplify]: Extracting #4: cost 18 inf + 0
6.639 * * [simplify]: Extracting #5: cost 19 inf + 1
6.639 * * [simplify]: Extracting #6: cost 23 inf + 1
6.639 * * [simplify]: Extracting #7: cost 24 inf + 2
6.639 * * [simplify]: Extracting #8: cost 16 inf + 935
6.640 * * [simplify]: Extracting #9: cost 7 inf + 3612
6.641 * * [simplify]: Extracting #10: cost 2 inf + 5942
6.643 * * [simplify]: Extracting #11: cost 0 inf + 7026
6.644 * [simplify]: Simplified to (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (log (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))))
6.644 * [simplify]: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))) (log (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))))))
6.645 * * * * [progress]: [ 67 / 101 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
6.645 * [simplify]: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
6.645 * * [simplify]: iters left: 6 (12 enodes)
6.650 * * [simplify]: iters left: 5 (40 enodes)
6.662 * * [simplify]: iters left: 4 (58 enodes)
6.677 * * [simplify]: iters left: 3 (62 enodes)
6.685 * * [simplify]: Extracting #0: cost 1 inf + 0
6.685 * * [simplify]: Extracting #1: cost 5 inf + 0
6.685 * * [simplify]: Extracting #2: cost 10 inf + 0
6.685 * * [simplify]: Extracting #3: cost 13 inf + 0
6.685 * * [simplify]: Extracting #4: cost 16 inf + 0
6.685 * * [simplify]: Extracting #5: cost 17 inf + 1
6.685 * * [simplify]: Extracting #6: cost 21 inf + 1
6.686 * * [simplify]: Extracting #7: cost 22 inf + 2
6.686 * * [simplify]: Extracting #8: cost 11 inf + 1582
6.686 * * [simplify]: Extracting #9: cost 4 inf + 4024
6.687 * * [simplify]: Extracting #10: cost 0 inf + 5822
6.688 * [simplify]: Simplified to (+ (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))
6.688 * [simplify]: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))) (log (sqrt (atan2 1 (+ (* (+ N 1) N) 1)))))))
6.688 * * * * [progress]: [ 68 / 101 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
6.688 * * * * [progress]: [ 69 / 101 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
6.688 * * * * [progress]: [ 70 / 101 ] 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 (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))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
6.688 * [simplify]: Simplifying (* (* (* (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 (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)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
6.688 * * [simplify]: iters left: 6 (14 enodes)
6.692 * * [simplify]: iters left: 5 (55 enodes)
6.705 * * [simplify]: iters left: 4 (120 enodes)
6.736 * * [simplify]: iters left: 3 (184 enodes)
6.801 * * [simplify]: iters left: 2 (298 enodes)
6.964 * * [simplify]: Extracting #0: cost 1 inf + 0
6.964 * * [simplify]: Extracting #1: cost 54 inf + 0
6.965 * * [simplify]: Extracting #2: cost 169 inf + 4
6.966 * * [simplify]: Extracting #3: cost 170 inf + 13
6.968 * * [simplify]: Extracting #4: cost 173 inf + 14
6.970 * * [simplify]: Extracting #5: cost 165 inf + 2065
6.975 * * [simplify]: Extracting #6: cost 121 inf + 21492
6.988 * * [simplify]: Extracting #7: cost 20 inf + 85249
7.005 * * [simplify]: Extracting #8: cost 0 inf + 99573
7.026 * * [simplify]: Extracting #9: cost 0 inf + 99533
7.042 * [simplify]: Simplified to (* (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)))
7.043 * [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)))))
7.043 * * * * [progress]: [ 71 / 101 ] 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 (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))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
7.043 * [simplify]: Simplifying (* (* (* (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 (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))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
7.043 * * [simplify]: iters left: 6 (14 enodes)
7.051 * * [simplify]: iters left: 5 (53 enodes)
7.063 * * [simplify]: iters left: 4 (113 enodes)
7.089 * * [simplify]: iters left: 3 (220 enodes)
7.152 * * [simplify]: iters left: 2 (336 enodes)
7.338 * * [simplify]: Extracting #0: cost 1 inf + 0
7.338 * * [simplify]: Extracting #1: cost 53 inf + 0
7.339 * * [simplify]: Extracting #2: cost 153 inf + 4
7.339 * * [simplify]: Extracting #3: cost 155 inf + 10
7.340 * * [simplify]: Extracting #4: cost 158 inf + 12
7.341 * * [simplify]: Extracting #5: cost 154 inf + 342
7.342 * * [simplify]: Extracting #6: cost 144 inf + 3213
7.345 * * [simplify]: Extracting #7: cost 119 inf + 14688
7.357 * * [simplify]: Extracting #8: cost 58 inf + 51370
7.373 * * [simplify]: Extracting #9: cost 5 inf + 88843
7.392 * * [simplify]: Extracting #10: cost 0 inf + 92438
7.428 * [simplify]: Simplified to (* (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 1 (+ (* (+ N 1) N) 1)))
7.429 * [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)))))
7.429 * * * * [progress]: [ 72 / 101 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
7.429 * * * * [progress]: [ 73 / 101 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (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)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
7.429 * * * * [progress]: [ 74 / 101 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
7.429 * [simplify]: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.429 * * [simplify]: iters left: 6 (9 enodes)
7.434 * * [simplify]: iters left: 5 (33 enodes)
7.444 * * [simplify]: iters left: 4 (47 enodes)
7.451 * * [simplify]: iters left: 3 (51 enodes)
7.458 * * [simplify]: iters left: 2 (61 enodes)
7.468 * * [simplify]: iters left: 1 (81 enodes)
7.491 * * [simplify]: Extracting #0: cost 1 inf + 0
7.491 * * [simplify]: Extracting #1: cost 11 inf + 0
7.491 * * [simplify]: Extracting #2: cost 27 inf + 1
7.491 * * [simplify]: Extracting #3: cost 24 inf + 7
7.492 * * [simplify]: Extracting #4: cost 27 inf + 8
7.492 * * [simplify]: Extracting #5: cost 28 inf + 9
7.492 * * [simplify]: Extracting #6: cost 22 inf + 420
7.492 * * [simplify]: Extracting #7: cost 16 inf + 1709
7.493 * * [simplify]: Extracting #8: cost 5 inf + 6588
7.494 * * [simplify]: Extracting #9: cost 0 inf + 9524
7.495 * [simplify]: Simplified to (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))
7.495 * [simplify]: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* (+ N 1) N) 1)) (atan2 1 (+ (* (+ N 1) N) 1)))))
7.496 * * * * [progress]: [ 75 / 101 ] 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)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
7.496 * * * * [progress]: [ 76 / 101 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
7.496 * * * * [progress]: [ 77 / 101 ] 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))))))))>
7.496 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.496 * * [simplify]: iters left: 6 (9 enodes)
7.498 * * [simplify]: iters left: 5 (30 enodes)
7.503 * * [simplify]: iters left: 4 (40 enodes)
7.509 * * [simplify]: iters left: 3 (42 enodes)
7.517 * * [simplify]: Extracting #0: cost 1 inf + 0
7.517 * * [simplify]: Extracting #1: cost 4 inf + 0
7.517 * * [simplify]: Extracting #2: cost 8 inf + 0
7.517 * * [simplify]: Extracting #3: cost 9 inf + 1
7.517 * * [simplify]: Extracting #4: cost 13 inf + 1
7.517 * * [simplify]: Extracting #5: cost 14 inf + 2
7.517 * * [simplify]: Extracting #6: cost 8 inf + 330
7.518 * * [simplify]: Extracting #7: cost 6 inf + 714
7.518 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.519 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.520 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.520 * [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))))))))
7.520 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.520 * * [simplify]: iters left: 6 (9 enodes)
7.525 * * [simplify]: iters left: 5 (30 enodes)
7.534 * * [simplify]: iters left: 4 (40 enodes)
7.545 * * [simplify]: iters left: 3 (42 enodes)
7.556 * * [simplify]: Extracting #0: cost 1 inf + 0
7.556 * * [simplify]: Extracting #1: cost 4 inf + 0
7.556 * * [simplify]: Extracting #2: cost 8 inf + 0
7.556 * * [simplify]: Extracting #3: cost 9 inf + 1
7.556 * * [simplify]: Extracting #4: cost 13 inf + 1
7.556 * * [simplify]: Extracting #5: cost 14 inf + 2
7.556 * * [simplify]: Extracting #6: cost 8 inf + 330
7.556 * * [simplify]: Extracting #7: cost 6 inf + 714
7.556 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.557 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.557 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.557 * [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)))))
7.557 * * * * [progress]: [ 78 / 101 ] 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))))))))>
7.557 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.558 * * [simplify]: iters left: 6 (9 enodes)
7.560 * * [simplify]: iters left: 5 (30 enodes)
7.565 * * [simplify]: iters left: 4 (40 enodes)
7.571 * * [simplify]: iters left: 3 (42 enodes)
7.576 * * [simplify]: Extracting #0: cost 1 inf + 0
7.576 * * [simplify]: Extracting #1: cost 4 inf + 0
7.576 * * [simplify]: Extracting #2: cost 8 inf + 0
7.576 * * [simplify]: Extracting #3: cost 9 inf + 1
7.576 * * [simplify]: Extracting #4: cost 13 inf + 1
7.576 * * [simplify]: Extracting #5: cost 14 inf + 2
7.576 * * [simplify]: Extracting #6: cost 8 inf + 330
7.576 * * [simplify]: Extracting #7: cost 6 inf + 714
7.577 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.577 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.577 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.577 * [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))))))))
7.577 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.578 * * [simplify]: iters left: 6 (9 enodes)
7.580 * * [simplify]: iters left: 5 (30 enodes)
7.584 * * [simplify]: iters left: 4 (40 enodes)
7.590 * * [simplify]: iters left: 3 (42 enodes)
7.595 * * [simplify]: Extracting #0: cost 1 inf + 0
7.595 * * [simplify]: Extracting #1: cost 4 inf + 0
7.595 * * [simplify]: Extracting #2: cost 8 inf + 0
7.595 * * [simplify]: Extracting #3: cost 9 inf + 1
7.595 * * [simplify]: Extracting #4: cost 13 inf + 1
7.596 * * [simplify]: Extracting #5: cost 14 inf + 2
7.596 * * [simplify]: Extracting #6: cost 8 inf + 330
7.596 * * [simplify]: Extracting #7: cost 6 inf + 714
7.596 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.596 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.597 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.597 * [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)))))
7.597 * * * * [progress]: [ 79 / 101 ] 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))))))))>
7.597 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.598 * * [simplify]: iters left: 6 (9 enodes)
7.600 * * [simplify]: iters left: 5 (30 enodes)
7.604 * * [simplify]: iters left: 4 (40 enodes)
7.610 * * [simplify]: iters left: 3 (42 enodes)
7.623 * * [simplify]: Extracting #0: cost 1 inf + 0
7.623 * * [simplify]: Extracting #1: cost 4 inf + 0
7.623 * * [simplify]: Extracting #2: cost 8 inf + 0
7.623 * * [simplify]: Extracting #3: cost 9 inf + 1
7.623 * * [simplify]: Extracting #4: cost 13 inf + 1
7.623 * * [simplify]: Extracting #5: cost 14 inf + 2
7.623 * * [simplify]: Extracting #6: cost 8 inf + 330
7.623 * * [simplify]: Extracting #7: cost 6 inf + 714
7.624 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.625 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.625 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.626 * [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))))))))
7.626 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.626 * * [simplify]: iters left: 6 (9 enodes)
7.629 * * [simplify]: iters left: 5 (30 enodes)
7.633 * * [simplify]: iters left: 4 (40 enodes)
7.639 * * [simplify]: iters left: 3 (42 enodes)
7.645 * * [simplify]: Extracting #0: cost 1 inf + 0
7.645 * * [simplify]: Extracting #1: cost 4 inf + 0
7.645 * * [simplify]: Extracting #2: cost 8 inf + 0
7.645 * * [simplify]: Extracting #3: cost 9 inf + 1
7.645 * * [simplify]: Extracting #4: cost 13 inf + 1
7.645 * * [simplify]: Extracting #5: cost 14 inf + 2
7.645 * * [simplify]: Extracting #6: cost 8 inf + 330
7.645 * * [simplify]: Extracting #7: cost 6 inf + 714
7.645 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.646 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.646 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.646 * [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)))))
7.646 * * * * [progress]: [ 80 / 101 ] 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))))))))>
7.646 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.646 * * [simplify]: iters left: 6 (9 enodes)
7.649 * * [simplify]: iters left: 5 (30 enodes)
7.656 * * [simplify]: iters left: 4 (40 enodes)
7.663 * * [simplify]: iters left: 3 (42 enodes)
7.669 * * [simplify]: Extracting #0: cost 1 inf + 0
7.669 * * [simplify]: Extracting #1: cost 4 inf + 0
7.669 * * [simplify]: Extracting #2: cost 8 inf + 0
7.669 * * [simplify]: Extracting #3: cost 9 inf + 1
7.669 * * [simplify]: Extracting #4: cost 13 inf + 1
7.669 * * [simplify]: Extracting #5: cost 14 inf + 2
7.670 * * [simplify]: Extracting #6: cost 8 inf + 330
7.670 * * [simplify]: Extracting #7: cost 6 inf + 714
7.670 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.670 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.671 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.671 * [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))))))))
7.671 * [simplify]: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.671 * * [simplify]: iters left: 6 (9 enodes)
7.673 * * [simplify]: iters left: 5 (30 enodes)
7.678 * * [simplify]: iters left: 4 (40 enodes)
7.683 * * [simplify]: iters left: 3 (42 enodes)
7.690 * * [simplify]: Extracting #0: cost 1 inf + 0
7.690 * * [simplify]: Extracting #1: cost 4 inf + 0
7.690 * * [simplify]: Extracting #2: cost 8 inf + 0
7.690 * * [simplify]: Extracting #3: cost 9 inf + 1
7.690 * * [simplify]: Extracting #4: cost 13 inf + 1
7.690 * * [simplify]: Extracting #5: cost 14 inf + 2
7.690 * * [simplify]: Extracting #6: cost 8 inf + 330
7.691 * * [simplify]: Extracting #7: cost 6 inf + 714
7.691 * * [simplify]: Extracting #8: cost 2 inf + 1742
7.692 * * [simplify]: Extracting #9: cost 0 inf + 2386
7.692 * [simplify]: Simplified to (sqrt (atan2 1 (+ (+ (* N N) N) 1)))
7.692 * [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)))))
7.693 * * * * [progress]: [ 81 / 101 ] 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)))))))>
7.693 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
7.693 * * [simplify]: iters left: 6 (8 enodes)
7.697 * * [simplify]: iters left: 5 (29 enodes)
7.705 * * [simplify]: iters left: 4 (38 enodes)
7.712 * * [simplify]: iters left: 3 (40 enodes)
7.717 * * [simplify]: Extracting #0: cost 1 inf + 0
7.717 * * [simplify]: Extracting #1: cost 3 inf + 0
7.717 * * [simplify]: Extracting #2: cost 5 inf + 0
7.717 * * [simplify]: Extracting #3: cost 8 inf + 0
7.717 * * [simplify]: Extracting #4: cost 9 inf + 1
7.718 * * [simplify]: Extracting #5: cost 13 inf + 1
7.718 * * [simplify]: Extracting #6: cost 14 inf + 2
7.718 * * [simplify]: Extracting #7: cost 9 inf + 249
7.718 * * [simplify]: Extracting #8: cost 5 inf + 836
7.719 * * [simplify]: Extracting #9: cost 1 inf + 2044
7.719 * * [simplify]: Extracting #10: cost 0 inf + 2386
7.719 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
7.719 * [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))))))
7.720 * * * * [progress]: [ 82 / 101 ] 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
7.720 * [simplify]: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.720 * * [simplify]: iters left: 6 (9 enodes)
7.722 * * [simplify]: iters left: 5 (32 enodes)
7.727 * * [simplify]: iters left: 4 (41 enodes)
7.733 * * [simplify]: iters left: 3 (43 enodes)
7.742 * * [simplify]: Extracting #0: cost 1 inf + 0
7.742 * * [simplify]: Extracting #1: cost 3 inf + 0
7.742 * * [simplify]: Extracting #2: cost 5 inf + 0
7.742 * * [simplify]: Extracting #3: cost 7 inf + 0
7.742 * * [simplify]: Extracting #4: cost 10 inf + 0
7.742 * * [simplify]: Extracting #5: cost 11 inf + 1
7.742 * * [simplify]: Extracting #6: cost 15 inf + 1
7.742 * * [simplify]: Extracting #7: cost 16 inf + 2
7.743 * * [simplify]: Extracting #8: cost 10 inf + 330
7.743 * * [simplify]: Extracting #9: cost 8 inf + 714
7.743 * * [simplify]: Extracting #10: cost 4 inf + 1782
7.744 * * [simplify]: Extracting #11: cost 0 inf + 3310
7.745 * [simplify]: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (cbrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))))
7.745 * [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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
7.745 * * * * [progress]: [ 83 / 101 ] 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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
7.746 * [simplify]: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
7.746 * * [simplify]: iters left: 6 (9 enodes)
7.751 * * [simplify]: iters left: 5 (33 enodes)
7.755 * * [simplify]: iters left: 4 (42 enodes)
7.762 * * [simplify]: iters left: 3 (44 enodes)
7.767 * * [simplify]: Extracting #0: cost 1 inf + 0
7.768 * * [simplify]: Extracting #1: cost 4 inf + 0
7.768 * * [simplify]: Extracting #2: cost 7 inf + 0
7.768 * * [simplify]: Extracting #3: cost 10 inf + 0
7.768 * * [simplify]: Extracting #4: cost 11 inf + 1
7.768 * * [simplify]: Extracting #5: cost 15 inf + 1
7.768 * * [simplify]: Extracting #6: cost 15 inf + 43
7.768 * * [simplify]: Extracting #7: cost 11 inf + 249
7.768 * * [simplify]: Extracting #8: cost 7 inf + 836
7.768 * * [simplify]: Extracting #9: cost 0 inf + 3310
7.769 * [simplify]: Simplified to (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1))))
7.769 * [simplify]: Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (+ (* N N) N) 1)))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
7.769 * * * * [progress]: [ 84 / 101 ] 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)))))))))>
7.769 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
7.769 * * [simplify]: iters left: 6 (8 enodes)
7.771 * * [simplify]: iters left: 5 (29 enodes)
7.776 * * [simplify]: iters left: 4 (38 enodes)
7.784 * * [simplify]: iters left: 3 (40 enodes)
7.794 * * [simplify]: Extracting #0: cost 1 inf + 0
7.794 * * [simplify]: Extracting #1: cost 3 inf + 0
7.794 * * [simplify]: Extracting #2: cost 5 inf + 0
7.794 * * [simplify]: Extracting #3: cost 8 inf + 0
7.794 * * [simplify]: Extracting #4: cost 9 inf + 1
7.794 * * [simplify]: Extracting #5: cost 13 inf + 1
7.795 * * [simplify]: Extracting #6: cost 14 inf + 2
7.795 * * [simplify]: Extracting #7: cost 9 inf + 249
7.795 * * [simplify]: Extracting #8: cost 5 inf + 836
7.796 * * [simplify]: Extracting #9: cost 1 inf + 2044
7.796 * * [simplify]: Extracting #10: cost 0 inf + 2386
7.797 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
7.797 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
7.797 * * * * [progress]: [ 85 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
7.797 * [simplify]: Simplifying (sqrt 1)
7.798 * * [simplify]: iters left: 1 (2 enodes)
7.801 * * [simplify]: Extracting #0: cost 1 inf + 0
7.801 * * [simplify]: Extracting #1: cost 0 inf + 1
7.801 * [simplify]: Simplified to 1
7.801 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
7.801 * * * * [progress]: [ 86 / 101 ] 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)))))))))>
7.801 * [simplify]: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
7.802 * * [simplify]: iters left: 6 (8 enodes)
7.805 * * [simplify]: iters left: 5 (29 enodes)
7.814 * * [simplify]: iters left: 4 (38 enodes)
7.826 * * [simplify]: iters left: 3 (40 enodes)
7.839 * * [simplify]: Extracting #0: cost 1 inf + 0
7.839 * * [simplify]: Extracting #1: cost 3 inf + 0
7.839 * * [simplify]: Extracting #2: cost 5 inf + 0
7.839 * * [simplify]: Extracting #3: cost 8 inf + 0
7.839 * * [simplify]: Extracting #4: cost 9 inf + 1
7.839 * * [simplify]: Extracting #5: cost 13 inf + 1
7.839 * * [simplify]: Extracting #6: cost 14 inf + 2
7.839 * * [simplify]: Extracting #7: cost 9 inf + 249
7.839 * * [simplify]: Extracting #8: cost 5 inf + 836
7.840 * * [simplify]: Extracting #9: cost 1 inf + 2044
7.840 * * [simplify]: Extracting #10: cost 0 inf + 2386
7.840 * [simplify]: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1))))
7.841 * [simplify]: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (+ N (* N N)) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
7.841 * * * * [progress]: [ 87 / 101 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
7.841 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
7.841 * * * * [progress]: [ 89 / 101 ] 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))))))>
7.841 * * * * [progress]: [ 90 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
7.841 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.841 * * [simplify]: iters left: 6 (8 enodes)
7.844 * * [simplify]: iters left: 5 (34 enodes)
7.850 * * [simplify]: iters left: 4 (45 enodes)
7.856 * * [simplify]: iters left: 3 (51 enodes)
7.863 * * [simplify]: iters left: 2 (57 enodes)
7.870 * * [simplify]: Extracting #0: cost 1 inf + 0
7.871 * * [simplify]: Extracting #1: cost 3 inf + 0
7.871 * * [simplify]: Extracting #2: cost 6 inf + 0
7.871 * * [simplify]: Extracting #3: cost 11 inf + 1
7.871 * * [simplify]: Extracting #4: cost 5 inf + 1620
7.871 * * [simplify]: Extracting #5: cost 0 inf + 1867
7.871 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
7.871 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))
7.872 * * * * [progress]: [ 91 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
7.872 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.872 * * [simplify]: iters left: 6 (8 enodes)
7.874 * * [simplify]: iters left: 5 (34 enodes)
7.880 * * [simplify]: iters left: 4 (45 enodes)
7.886 * * [simplify]: iters left: 3 (51 enodes)
7.893 * * [simplify]: iters left: 2 (57 enodes)
7.902 * * [simplify]: Extracting #0: cost 1 inf + 0
7.902 * * [simplify]: Extracting #1: cost 3 inf + 0
7.902 * * [simplify]: Extracting #2: cost 6 inf + 0
7.902 * * [simplify]: Extracting #3: cost 11 inf + 1
7.902 * * [simplify]: Extracting #4: cost 5 inf + 1620
7.903 * * [simplify]: Extracting #5: cost 0 inf + 1867
7.903 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
7.903 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))
7.903 * * * * [progress]: [ 92 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
7.903 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.903 * * [simplify]: iters left: 6 (8 enodes)
7.906 * * [simplify]: iters left: 5 (34 enodes)
7.911 * * [simplify]: iters left: 4 (45 enodes)
7.917 * * [simplify]: iters left: 3 (51 enodes)
7.925 * * [simplify]: iters left: 2 (57 enodes)
7.932 * * [simplify]: Extracting #0: cost 1 inf + 0
7.932 * * [simplify]: Extracting #1: cost 3 inf + 0
7.932 * * [simplify]: Extracting #2: cost 6 inf + 0
7.932 * * [simplify]: Extracting #3: cost 11 inf + 1
7.932 * * [simplify]: Extracting #4: cost 5 inf + 1620
7.932 * * [simplify]: Extracting #5: cost 0 inf + 1867
7.933 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
7.933 * [simplify]: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))))))
7.933 * * * * [progress]: [ 93 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
7.933 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.933 * * [simplify]: iters left: 6 (8 enodes)
7.936 * * [simplify]: iters left: 5 (34 enodes)
7.941 * * [simplify]: iters left: 4 (45 enodes)
7.948 * * [simplify]: iters left: 3 (51 enodes)
7.955 * * [simplify]: iters left: 2 (57 enodes)
7.962 * * [simplify]: Extracting #0: cost 1 inf + 0
7.962 * * [simplify]: Extracting #1: cost 3 inf + 0
7.962 * * [simplify]: Extracting #2: cost 6 inf + 0
7.962 * * [simplify]: Extracting #3: cost 11 inf + 1
7.963 * * [simplify]: Extracting #4: cost 5 inf + 1620
7.963 * * [simplify]: Extracting #5: cost 0 inf + 1867
7.964 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
7.964 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
7.964 * * * * [progress]: [ 94 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
7.964 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.964 * * [simplify]: iters left: 6 (8 enodes)
7.968 * * [simplify]: iters left: 5 (34 enodes)
7.973 * * [simplify]: iters left: 4 (45 enodes)
7.980 * * [simplify]: iters left: 3 (51 enodes)
7.986 * * [simplify]: iters left: 2 (57 enodes)
7.993 * * [simplify]: Extracting #0: cost 1 inf + 0
7.993 * * [simplify]: Extracting #1: cost 3 inf + 0
7.993 * * [simplify]: Extracting #2: cost 6 inf + 0
7.993 * * [simplify]: Extracting #3: cost 11 inf + 1
7.993 * * [simplify]: Extracting #4: cost 5 inf + 1620
7.993 * * [simplify]: Extracting #5: cost 0 inf + 1867
7.994 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
7.994 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
7.994 * * * * [progress]: [ 95 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
7.994 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
7.994 * * [simplify]: iters left: 6 (8 enodes)
7.996 * * [simplify]: iters left: 5 (34 enodes)
8.007 * * [simplify]: iters left: 4 (45 enodes)
8.019 * * [simplify]: iters left: 3 (51 enodes)
8.027 * * [simplify]: iters left: 2 (57 enodes)
8.034 * * [simplify]: Extracting #0: cost 1 inf + 0
8.034 * * [simplify]: Extracting #1: cost 3 inf + 0
8.034 * * [simplify]: Extracting #2: cost 6 inf + 0
8.034 * * [simplify]: Extracting #3: cost 11 inf + 1
8.034 * * [simplify]: Extracting #4: cost 5 inf + 1620
8.035 * * [simplify]: Extracting #5: cost 0 inf + 1867
8.035 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
8.035 * [simplify]: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (* N N) 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
8.035 * * * * [progress]: [ 96 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.035 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.035 * * [simplify]: iters left: 6 (8 enodes)
8.038 * * [simplify]: iters left: 5 (34 enodes)
8.043 * * [simplify]: iters left: 4 (45 enodes)
8.049 * * [simplify]: iters left: 3 (51 enodes)
8.056 * * [simplify]: iters left: 2 (57 enodes)
8.062 * * [simplify]: Extracting #0: cost 1 inf + 0
8.062 * * [simplify]: Extracting #1: cost 3 inf + 0
8.063 * * [simplify]: Extracting #2: cost 6 inf + 0
8.063 * * [simplify]: Extracting #3: cost 11 inf + 1
8.063 * * [simplify]: Extracting #4: cost 5 inf + 1620
8.063 * * [simplify]: Extracting #5: cost 0 inf + 1867
8.063 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
8.063 * [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))))))))
8.063 * * * * [progress]: [ 97 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.064 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.064 * * [simplify]: iters left: 6 (8 enodes)
8.066 * * [simplify]: iters left: 5 (34 enodes)
8.071 * * [simplify]: iters left: 4 (45 enodes)
8.077 * * [simplify]: iters left: 3 (51 enodes)
8.083 * * [simplify]: iters left: 2 (57 enodes)
8.100 * * [simplify]: Extracting #0: cost 1 inf + 0
8.100 * * [simplify]: Extracting #1: cost 3 inf + 0
8.100 * * [simplify]: Extracting #2: cost 6 inf + 0
8.100 * * [simplify]: Extracting #3: cost 11 inf + 1
8.101 * * [simplify]: Extracting #4: cost 5 inf + 1620
8.101 * * [simplify]: Extracting #5: cost 0 inf + 1867
8.102 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
8.102 * [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))))))))
8.102 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
8.102 * [simplify]: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
8.102 * * [simplify]: iters left: 6 (8 enodes)
8.107 * * [simplify]: iters left: 5 (34 enodes)
8.112 * * [simplify]: iters left: 4 (45 enodes)
8.118 * * [simplify]: iters left: 3 (51 enodes)
8.125 * * [simplify]: iters left: 2 (57 enodes)
8.132 * * [simplify]: Extracting #0: cost 1 inf + 0
8.132 * * [simplify]: Extracting #1: cost 3 inf + 0
8.132 * * [simplify]: Extracting #2: cost 6 inf + 0
8.132 * * [simplify]: Extracting #3: cost 11 inf + 1
8.133 * * [simplify]: Extracting #4: cost 5 inf + 1620
8.133 * * [simplify]: Extracting #5: cost 0 inf + 1867
8.133 * [simplify]: Simplified to (sqrt (atan2 1 (+ N (+ (* N N) 1))))
8.133 * [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))))))))
8.133 * * * * [progress]: [ 99 / 101 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
8.133 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
8.134 * * [simplify]: iters left: 6 (7 enodes)
8.136 * * [simplify]: iters left: 5 (31 enodes)
8.141 * * [simplify]: iters left: 4 (42 enodes)
8.147 * * [simplify]: iters left: 3 (48 enodes)
8.153 * * [simplify]: iters left: 2 (54 enodes)
8.159 * * [simplify]: Extracting #0: cost 1 inf + 0
8.159 * * [simplify]: Extracting #1: cost 4 inf + 0
8.159 * * [simplify]: Extracting #2: cost 9 inf + 1
8.159 * * [simplify]: Extracting #3: cost 5 inf + 1016
8.160 * * [simplify]: Extracting #4: cost 0 inf + 1263
8.160 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
8.160 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
8.160 * * * * [progress]: [ 100 / 101 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
8.160 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
8.160 * * [simplify]: iters left: 6 (7 enodes)
8.163 * * [simplify]: iters left: 5 (31 enodes)
8.167 * * [simplify]: iters left: 4 (42 enodes)
8.173 * * [simplify]: iters left: 3 (48 enodes)
8.181 * * [simplify]: iters left: 2 (54 enodes)
8.187 * * [simplify]: Extracting #0: cost 1 inf + 0
8.187 * * [simplify]: Extracting #1: cost 4 inf + 0
8.187 * * [simplify]: Extracting #2: cost 9 inf + 1
8.187 * * [simplify]: Extracting #3: cost 5 inf + 1016
8.188 * * [simplify]: Extracting #4: cost 0 inf + 1263
8.188 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
8.188 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
8.188 * * * * [progress]: [ 101 / 101 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
8.188 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
8.188 * * [simplify]: iters left: 6 (7 enodes)
8.190 * * [simplify]: iters left: 5 (31 enodes)
8.195 * * [simplify]: iters left: 4 (42 enodes)
8.206 * * [simplify]: iters left: 3 (48 enodes)
8.217 * * [simplify]: iters left: 2 (54 enodes)
8.224 * * [simplify]: Extracting #0: cost 1 inf + 0
8.224 * * [simplify]: Extracting #1: cost 4 inf + 0
8.224 * * [simplify]: Extracting #2: cost 9 inf + 1
8.224 * * [simplify]: Extracting #3: cost 5 inf + 1016
8.224 * * [simplify]: Extracting #4: cost 0 inf + 1263
8.225 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1)))
8.225 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
8.225 * * * [progress]: adding candidates to table
9.003 * [progress]: [Phase 3 of 3] Extracting.
9.003 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<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)))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.004 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
9.004 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<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)))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.037 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))> #<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))))))))> #<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)))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ N (+ (* N N) 1))))))> #<alt (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
9.072 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
9.072 * [simplify]: Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
9.073 * * [simplify]: iters left: 6 (6 enodes)
9.073 * * [simplify]: iters left: 5 (11 enodes)
9.073 * * [simplify]: Extracting #0: cost 1 inf + 0
9.073 * * [simplify]: Extracting #1: cost 3 inf + 0
9.073 * * [simplify]: Extracting #2: cost 3 inf + 1
9.073 * * [simplify]: Extracting #3: cost 5 inf + 1
9.073 * * [simplify]: Extracting #4: cost 0 inf + 510
9.074 * [simplify]: Simplified to (atan2 1 (+ (* (+ N 1) N) 1))
11.039 * [regime-testing]: Baseline error score: 0.35946848131270165
11.041 * [regime-testing]: Oracle error score: 0.31971351194153025
11.045 * [regime-testing]: End program error score: 0.35946848131270165
11.082 * [regime-testing]: Target error score: 0.3600935594474685