* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (- (atan (+ 1 N)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 28 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ 1 N) N) (+ 1 (* (+ 1 N) N))))>
* [enter]simplify:  Simplifying (- (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))
* [enter]simplify:  Simplifying (+ 1 (* (+ 1 N) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 2 / 28 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ 1 N))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ 1 N))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))
* * * * [misc]progress:  [ 3 / 28 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ 1 N)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 28 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 5 / 28 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 6 / 28 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 7 / 28 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 8 / 28 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 9 / 28 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (atan N))))))>
* * * * [misc]progress:  [ 10 / 28 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (atan N))))>
* * * * [misc]progress:  [ 11 / 28 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 12 / 28 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 13 / 28 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
* * * * [misc]progress:  [ 14 / 28 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))
* * * * [misc]progress:  [ 15 / 28 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (atan N))))>
* * * * [misc]progress:  [ 16 / 28 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ 1 N)) 1) (atan N)))>
* * * * [misc]progress:  [ 17 / 28 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 18 / 28 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 19 / 28 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 20 / 28 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 21 / 28 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 22 / 28 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ 1 N))) (atan N)))>
* * * * [misc]progress:  [ 23 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 24 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 25 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 26 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 27 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 28 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (* (+ 1 N) N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 26 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 1))>
* * * * [misc]progress:  [ 2 / 26 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 3 / 26 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 4 / 26 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 5 / 26 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 6 / 26 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 7 / 26 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 8 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ 1 N) N) 1))))>
* * * * [misc]progress:  [ 9 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 10 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 11 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 12 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 13 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 14 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 15 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 16 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 17 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 18 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow 1 3) (pow N 3)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))>
* [enter]simplify:  Simplifying (* (+ (pow 1 3) (pow N 3)) N)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (+ (pow N 4) N)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (pow N 4) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))
* * * * [misc]progress:  [ 19 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* 1 1) (* N N)) N) (- 1 N)))))>
* [enter]simplify:  Simplifying (* (- (* 1 1) (* N N)) N)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (- N (pow N 3))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N)))))
* * * * [misc]progress:  [ 20 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ 1 N)))))>
* * * * [misc]progress:  [ 21 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 22 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 23 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 24 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 25 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 26 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 24 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1))>
* * * * [misc]progress:  [ 2 / 24 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 3 / 24 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 4 / 24 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 5 / 24 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 6 / 24 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 7 / 24 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 8 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ N (+ (pow N 2) 1)) 1)))>
* * * * [misc]progress:  [ 9 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 10 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 11 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ N (+ (pow N 2) 1))) (cbrt (+ N (+ (pow N 2) 1)))) (cbrt (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 12 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1))) (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 13 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ N (+ (pow N 2) 1))) (sqrt (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 14 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow N 3) (pow (+ (pow N 2) 1) 3)) (+ (* N N) (- (* (+ (pow N 2) 1) (+ (pow N 2) 1)) (* N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 15 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 16 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* N N) (* (+ (pow N 2) 1) (+ (pow N 2) 1))) (- N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 17 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ N (pow N 2)) 1)))>
* * * * [misc]progress:  [ 18 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ (pow N 2) 1) N)))>
* * * * [misc]progress:  [ 19 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 20 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 21 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 22 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 N) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N))))
* * * * [misc]progress:  [ 23 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 N) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N))))
* * * * [misc]progress:  [ 24 / 24 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 N) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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
* [misc]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
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/2)))>
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1)))>
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (exp (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (log (exp (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt 1) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* 1 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (fabs (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* 1 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/2) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ N (+ (pow N 2) 1))) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) (+ 1/2 1/2)))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2) to (λ (N) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1))
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1)))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2))
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1)))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2))
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1))
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 2))>
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1)))
* * * * [misc]progress:  [ 31 / 73 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) 1))>
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (log (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 3)))
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (cbrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))) (cbrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 N) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N))))
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))) (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt 1)) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [misc]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 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (* (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (* (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1))))>
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (exp (log (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (log (exp (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (cbrt (* (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))>
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* 1 (atan2 1 (+ N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N)))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (* (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))> #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (N)
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (cbrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N)))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (* (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (* (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) (* (sqrt (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))))> #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 6 256))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs