* [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:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [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 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 (+ N 1)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) 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 (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) 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 N) 1)) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) 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 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) 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 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) 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 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (- (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) 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 / 18 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ N 1))) (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 (+ 1 N)) (atan N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ N 1))) (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 (+ 1 N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (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 (+ 1 N))) (sqrt (atan N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
* * * * [misc]progress:  [ 14 / 18 ] simplifiying candidate #<alt (λ (N) (* 1 (- (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 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* * * * [misc]progress:  [ 16 / 18 ] 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:  [ 17 / 18 ] 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:  [ 18 / 18 ] 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:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) 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 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) 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 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 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 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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 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 (* (+ N 1) N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ N 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 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 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 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 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 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) 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 N) 1) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 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 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) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 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 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]backup-simplify:  Simplify (+ 1 0) 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 (+ 0 1) 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 (- N)) 1) (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 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 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)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 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 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]backup-simplify:  Simplify (+ -1 0) 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 (+ 0 1) 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 (* (+ N 1) N))) 1))>
* * * * [misc]progress:  [ 2 / 26 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 3 / 26 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 4 / 26 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 5 / 26 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 6 / 26 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 7 / 26 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 8 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
* * * * [misc]progress:  [ 9 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 10 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 11 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 12 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 13 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 14 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 15 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N)))))
* * * * [misc]progress:  [ 16 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
* [enter]simplify:  Simplifying (sqrt (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 N))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N)))))
* * * * [misc]progress:  [ 17 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 18 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
* [enter]simplify:  Simplifying (* (+ (pow N 3) (pow 1 3)) N)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (+ N (pow N 4))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1)))))))
* * * * [misc]progress:  [ 19 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
* [enter]simplify:  Simplifying (* (- (* N N) (* 1 1)) N)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (- (pow N 3) N)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1)))))
* * * * [misc]progress:  [ 20 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
* * * * [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) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * [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 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) 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 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 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 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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 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 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [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 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [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 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 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 (+ 1 (* (+ N 1) N))) 1))
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))) 2))
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 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 (+ 1 (* (+ N 1) N)))) 2))>
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3)))
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) 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:  [ 41 / 73 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 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 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 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 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N))))))>
* [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 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [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 (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [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 (+ 1 (* (+ N 1) N))))))
* * * * [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 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (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 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ (* N N) (+ N 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* N N) (+ N 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* N N) (+ N 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* N N) (+ N 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* N N) (+ N 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* N N) (+ N 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* N N) (+ N 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* N N) (+ N 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* N N) (+ N 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* N N) (+ N 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* N N) (+ N 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* N N) (+ N 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* N N) (+ N 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* N N) (+ N 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* N N) (+ N 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ N (+ (pow N 2) 1)))) into (log (atan2 1 (+ N (+ (pow N 2) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1))))) into (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ N (+ (pow N 2) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ N (+ (pow N 2) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) into (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3) into (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))) in N
* [misc]taylor:  Rewrote expression to (pow (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) into (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]backup-simplify:  Simplify (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3) into (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) 1/3) into (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 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)))) 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:  [ 4 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (* N N) (+ N 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* N N) (+ N 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* N N) (+ N 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* N N) (+ N 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* N N) (+ N 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) (/ 1 N)) (+ (/ 1 N) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 1 N) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 N) (/ 1 N)) (+ (/ 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 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)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (+ (/ 1 (- N)) 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 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/3)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 2 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (pow (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 3 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (exp (log (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 4 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (log (exp (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 5 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (cbrt (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 6 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 7 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (cbrt 1) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* 1 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 8 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 9 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 10 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 11 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* 1 (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 12 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (pow (atan2 1 (+ (* N N) (+ N 1))) 1/3)) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 13 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (pow (cbrt (atan2 1 (+ (* N N) (+ N 1)))) 1)) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 14 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (exp (log (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 15 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (log (exp (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 16 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* (cbrt (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (cbrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (fabs (* (cbrt (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))) (cbrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 17 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * [misc]simplify:  iters left: 6 (8 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 (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (fabs (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 18 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* (cbrt 1) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (fabs (* 1 (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 19 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* (* (cbrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (cbrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 20 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (* (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 21 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 22 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (* 1 (cbrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 23 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2))))>
* * * * [misc]progress:  [ 24 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1))))>
* * * * [misc]progress:  [ 25 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 26 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 27 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 28 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 29 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
* * * * [misc]progress:  [ 30 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
* * * * [misc]progress:  [ 31 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * * * [misc]progress:  [ 32 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 33 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))))
* * * * [misc]progress:  [ 34 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 35 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 1))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 36 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (exp (log (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 37 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (log (exp (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 38 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (* (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 39 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (cbrt (* (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 40 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 41 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (* 1 (atan2 1 (+ (* N N) (+ N 1)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 42 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 43 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 44 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 45 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 46 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 47 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1/3)
* * [misc]simplify:  iters left: 6 (9 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 (atan2 1 (+ (* N N) (+ N 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 48 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (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 2) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 49 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (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 2) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 50 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (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 2) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 51 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [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 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 52 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [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 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * * [misc]progress:  [ 53 / 53 ] simplifiying candidate #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [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 1 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1)))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1)))))))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3)))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>)
* * * [misc]regime-changes:  Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N)))
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1)))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1)))))))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3)))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>)
* * * * [misc]regimes:  Trying to branch on (- (atan (+ N 1)) (atan N)) from (#<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1)))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1)))))))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (* (* (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3)))> #<alt (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))> #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 1 256))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* (+ N 1) N) 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