* [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:  Computing exacts on every 8 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:  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 (+ 1 N)) (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 (+ 1 N)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ 1 N) N) (+ 1 (* (+ 1 N) N))))>
* [enter]simplify:  Simplifying (- (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))
* [enter]simplify:  Simplifying (+ 1 (* (+ 1 N) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 2 / 18 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ 1 N))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ 1 N))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ 1 N)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (atan N))))))>
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (atan N))))>
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
* * * * [misc]progress:  [ 14 / 18 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (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 (* (+ 1 N) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (* (+ 1 N) N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 26 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 1))>
* * * * [misc]progress:  [ 2 / 26 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 3 / 26 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 4 / 26 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 5 / 26 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 6 / 26 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 7 / 26 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 8 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ 1 N) N) 1))))>
* * * * [misc]progress:  [ 9 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 10 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 11 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 12 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 13 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 14 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 15 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 16 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 17 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 18 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow 1 3) (pow N 3)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))>
* [enter]simplify:  Simplifying (* (+ (pow 1 3) (pow N 3)) N)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (+ (* (* N N) (* N N)) N)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))
* * * * [misc]progress:  [ 19 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* 1 1) (* N N)) N) (- 1 N)))))>
* [enter]simplify:  Simplifying (* (- (* 1 1) (* N N)) N)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (- N (pow N 3))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N)))))
* * * * [misc]progress:  [ 20 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ 1 N)))))>
* * * * [misc]progress:  [ 21 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 22 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 23 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 24 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 25 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 26 / 26 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) into (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) into (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (* N (pow (cbrt (+ N 1)) 3)) 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 (* (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) N) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) N) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ (pow (cbrt (+ (/ 1 N) 1)) 3) 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 (* (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) 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 / 4 ] generating series at (2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow N 2)) 1/3) into (pow (/ 1 (pow N 2)) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow N -1/3) (* 1/3 (pow (/ 1 N) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow N -1/3) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (pow (/ 1 N) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3)))
* [misc]backup-simplify:  Simplify (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) into (- (+ (pow (pow N 2) 1/3) (* 2/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (cbrt (+ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2)
* [misc]backup-simplify:  Simplify (pow (exp (* 1/3 (- (log -1) (log N)))) 2) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))
* [misc]backup-simplify:  Simplify (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))
* [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 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))
* [misc]backup-simplify:  Simplify (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) 2))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) 2))) (/ 1 (- N))) (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) 2))) into (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) (pow N 2))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (pow N -1/3) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3))
* [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (pow N -1/3) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3))
* [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 81 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) 1))>
* * * * [misc]progress:  [ 2 / 81 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 3 / 81 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 4 / 81 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 5 / 81 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 6 / 81 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 7 / 81 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N))))))>
* * * * [misc]progress:  [ 8 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (+ 1 N) (+ 1/3 1/3)) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (+ 1 N)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ N 1)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (+ N 1) (+ 1/3 1/3)) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (+ 1/3 1/3)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (pow (+ 1 N) (+ 1/3 1/3)) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 9 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) (+ 1 1)) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ N 1)) (+ 1 1)) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) (+ 1 1)) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 10 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (+ 1 N) (+ 1 N)) 1/3) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (+ 1 N) (+ 1 N))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (+ N 1) (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (* (+ N 1) (+ N 1)) 1/3) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 11 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 12 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) 2) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 13 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) (+ 1 1)) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (cbrt (+ N 1)) (+ 1 1)) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 14 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 15 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (exp (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 16 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 17 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (log (exp (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 18 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (+ 1 N) (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (+ 1 N) (+ 1 N))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (+ N 1) (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (cbrt (* (+ N 1) (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 19 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 20 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 21 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 22 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ (pow 1 3) (pow N 3)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ (pow 1 3) (pow N 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (+ (- 1 N) (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (+ (- 1 N) (* N N))) (cbrt (+ (- 1 N) (* N N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 23 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (- (* 1 1) (* N N)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (- (* 1 1) (* N N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 N)) (cbrt (- (* N N) (- N 1))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (- 1 N)) (cbrt (- (* N N) (- N 1))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 24 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- (* 1 1) (* N N))) (cbrt (+ (pow 1 3) (pow N 3)))) (* (cbrt (- 1 N)) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* 1 1) (* N N))) (cbrt (+ (pow 1 3) (pow N 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (cbrt (+ (pow N 3) 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ (pow N 3) 1))) (* (cbrt (- 1 N)) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (- 1 N)) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 N)) (cbrt (+ (* N N) (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ (pow N 3) 1))) (* (cbrt (- 1 N)) (cbrt (+ (* N N) (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 25 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- (* 1 1) (* N N))) (cbrt (- (* 1 1) (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* 1 1) (* N N))) (cbrt (- (* 1 1) (* N N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (- 1 N)) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 N)) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 26 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 27 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (cbrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (cbrt (cbrt (+ N 1)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 28 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ N 1)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 29 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt 1)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 30 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) (cbrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) (cbrt (cbrt (+ N 1)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 31 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) (sqrt (cbrt (+ N 1)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 32 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) 1) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) 1) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 33 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 34 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (sqrt (+ N 1))) (* (cbrt (sqrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 35 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt 1) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt 1) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 36 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 37 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (cbrt (+ 1 N))) (* (sqrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (cbrt (+ N 1))) (* (sqrt (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 38 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 39 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (+ (pow 1 3) (pow N 3)))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* N N) (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (+ (pow 1 3) (pow N 3)))) (cbrt (+ (* N N) (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 40 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (- (* 1 1) (* N N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (- (* 1 1) (* N N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 41 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ 1 N))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 (pow N 3))) (cbrt (+ N 1))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 42 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- (* 1 1) (* N N))) (cbrt (+ 1 N))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* 1 1) (* N N))) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 43 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 44 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (pow (+ 1 N) 1/3) N)))))>
* * * * [misc]progress:  [ 45 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (pow (cbrt (+ 1 N)) 1) N)))))>
* * * * [misc]progress:  [ 46 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (exp (log (cbrt (+ 1 N)))) N)))))>
* * * * [misc]progress:  [ 47 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (log (exp (cbrt (+ 1 N)))) N)))))>
* * * * [misc]progress:  [ 48 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N)))) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ 1 N)))) N)))))
* * * * [misc]progress:  [ 49 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ 1 N)))) N)))))
* * * * [misc]progress:  [ 50 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt 1) (cbrt (+ 1 N))) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (cbrt 1) (cbrt (+ 1 N))) N)))))
* * * * [misc]progress:  [ 51 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (/ (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ (pow 1 3) (pow N 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (pow N 3)))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (/ (cbrt (+ 1 (pow N 3))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) N)))))
* * * * [misc]progress:  [ 52 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (/ (cbrt (- (* 1 1) (* N N))) (cbrt (- 1 N))) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (* 1 1) (* N N)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* N N)))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) N)))))
* * * * [misc]progress:  [ 53 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N)))) N)))))>
* * * * [misc]progress:  [ 54 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (cbrt (+ 1 N)))) N)))))>
* * * * [misc]progress:  [ 55 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N)))) N)))))>
* * * * [misc]progress:  [ 56 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (* 1 (cbrt (+ 1 N))) N)))))>
* * * * [misc]progress:  [ 57 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (pow (+ 1 N) 1/3)) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 58 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (pow (cbrt (+ 1 N)) 1)) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 59 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (exp (log (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 60 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (log (exp (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 61 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 62 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 63 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt 1) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt 1) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 64 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ (pow 1 3) (pow N 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (pow N 3)))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 (pow N 3))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 65 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- (* 1 1) (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (* 1 1) (* N N)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* N N)))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 66 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 67 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 68 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (sqrt (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 69 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 70 / 81 ] 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 / 81 ] 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:  [ 72 / 81 ] 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:  [ 73 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 2/3 N)) (* (* 1/9 N) N))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (- (+ 1 (* 2/3 N)) (* (* 1/9 N) N)) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 74 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (pow (pow N 2) 1/3) (* 2/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (pow (pow N 2) 1/3) (* 2/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (- (+ (cbrt (* N N)) (* (cbrt (/ 1 N)) 2/3)) (* 1/9 (cbrt (/ 1 (pow N 4)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (- (+ (cbrt (* N N)) (* (cbrt (/ 1 N)) 2/3)) (* 1/9 (cbrt (/ 1 (pow N 4))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 75 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) (pow N 2)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2) (pow N 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (490 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt N) (cbrt N)) (- (+ (/ 2/3 N) 1) (/ 1/9 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt N) (cbrt N)) (- (+ (/ 2/3 N) 1) (/ 1/9 (* N N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 76 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2))) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N))
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N)) N)))))
* * * * [misc]progress:  [ 77 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) N)))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (- (pow (/ 1 N) -1/3) (- (* 1/9 (cbrt (/ 1 (pow N 5)))) (* (cbrt (/ (/ 1 N) N)) 1/3)))
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (- (pow (/ 1 N) -1/3) (- (* 1/9 (cbrt (/ 1 (pow N 5)))) (* (cbrt (/ (/ 1 N) N)) 1/3))) N)))))
* * * * [misc]progress:  [ 78 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* [exit]simplify:  Simplified to (+ (cbrt N) (* (- 1/3 (/ 1/9 N)) (/ (cbrt N) N)))
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (+ (cbrt N) (* (- 1/3 (/ 1/9 N)) (/ (cbrt N) N))) N)))))
* * * * [misc]progress:  [ 79 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 80 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (- (pow (/ 1 N) -1/3) (- (* 1/9 (cbrt (/ 1 (pow N 5)))) (* (cbrt (/ (/ 1 N) N)) 1/3)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (pow (/ 1 N) -1/3) (- (* 1/9 (cbrt (/ 1 (pow N 5)))) (* (cbrt (/ (/ 1 N) N)) 1/3)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 81 / 81 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* [exit]simplify:  Simplified to (+ (cbrt N) (* (- 1/3 (/ 1/9 N)) (/ (cbrt N) N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (+ (cbrt N) (* (- 1/3 (/ 1/9 N)) (/ (cbrt N) N)))) (* (cbrt (+ 1 N)) N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (- 1 (* N N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 0))))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 4)) (+ (* -1/3 (pow N 2)) 1)) into (- 1 (+ (* 1/9 (pow N 4)) (* 1/3 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N))))))) (pow (/ 1 N) 4)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N))))))) (pow (/ 1 N) 2)) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))))) into (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 4))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 2)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 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 (- (+ (* -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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 4)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N))))))))) into (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 4)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1)) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 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 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1)) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) into (atan2 1 (+ (/ (* (pow (cbrt (+ (/ 1 N) 1)) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* (cbrt (- 1 (/ 1 N))) N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (cbrt (+ 1 (/ 1 N))) (/ 1 N))))) into (atan2 1 (+ (/ (* (pow (cbrt (+ (/ 1 N) 1)) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* (cbrt (- 1 (/ 1 N))) N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ (* (pow (cbrt (+ (/ 1 N) 1)) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* (cbrt (- 1 (/ 1 N))) N)) 1)) into (atan2 1 (+ (/ (* (pow (cbrt (+ (/ 1 N) 1)) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* (cbrt (- 1 (/ 1 N))) 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 (+ (/ (* (pow (cbrt (+ (/ 1 (/ 1 N)) 1)) 2) (cbrt (- 1 (/ 1 (pow (/ 1 N) 2))))) (* (cbrt (- 1 (/ 1 (/ 1 N)))) (/ 1 N))) 1)) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (* (pow (cbrt (- 1 (/ 1 N))) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* N (cbrt (+ (/ 1 N) 1))))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) (* (cbrt (+ 1 (/ 1 (- N)))) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (* (pow (cbrt (- 1 (/ 1 N))) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* N (cbrt (+ (/ 1 N) 1))))))
* [misc]backup-simplify:  Simplify (atan2 1 (- 1 (/ (* (pow (cbrt (- 1 (/ 1 N))) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* N (cbrt (+ (/ 1 N) 1)))))) into (atan2 1 (- 1 (/ (* (pow (cbrt (- 1 (/ 1 N))) 2) (cbrt (- 1 (/ 1 (pow N 2))))) (* N (cbrt (+ (/ 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 (cbrt (- 1 (/ 1 (/ 1 (- N))))) 2) (cbrt (- 1 (/ 1 (pow (/ 1 (- N)) 2))))) (* (/ 1 (- N)) (cbrt (+ (/ 1 (/ 1 (- N))) 1)))))) into (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (- 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (- 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ -1/3 1)))) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify (- (/ -1/3 1) (+ (* 1 (/ -1/9 1)) (* 1/3 (/ -1/3 1)))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) into (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) into (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) into (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log N))))) (+ (* (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) (/ (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))
* [misc]backup-simplify:  Simplify (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (exp (* 1/3 (- (log -1) (log N))))) (+ (* (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) (/ (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) (/ (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))
* [misc]backup-simplify:  Simplify (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))) (pow (/ 1 N) 2)) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))) (/ 1 N)) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))) into (- (+ (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* N (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* (pow N 2) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))))
* [misc]approximate:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (pow N -1/3)) into (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (pow N -1/3)) into (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) into (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 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) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow N -1/3)) (+ (* (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (/ (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))))) into (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
* [misc]backup-simplify:  Simplify (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log 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 (/ 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (pow N -1/3)) (+ (* (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (/ (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3))) (* (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) (/ (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))))) into (- (* 1/9 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
* [misc]backup-simplify:  Simplify (- (* 1/9 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 1/9 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (- N)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 1/3 (* (pow (/ 1 (- N)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N)))))))))) into (- (+ (* 1/3 (* (pow (/ -1 (pow N 4)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* (pow (/ -1 N) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* 1/9 (* (pow (/ -1 (pow N 7)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (- 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* N N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* N N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* N N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 1 (* N 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 (- 1 (* N N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* N 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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 0))) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 N)) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 N) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (- 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ -1/3 1)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify (- (/ -1/3 1) (+ (* 1 (/ -1/9 1)) (* 1/3 (/ -1/3 1)))) into -1/9
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
* [misc]backup-simplify:  Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9
* [misc]backup-simplify:  Simplify -1/9 into -1/9
* [misc]backup-simplify:  Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) into (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 N))) (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) (cbrt (- 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 N) (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 N) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 N) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) 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 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 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) into (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (* (pow N -1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/3 (- (log -1) (log N))))) (+ (* (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) (/ (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow N -1/3) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) (* (* 1/3 (pow (/ 1 N) 1/3)) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (* 2/3 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))
* [misc]backup-simplify:  Simplify (* 2/3 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (* 2/3 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (exp (* 1/3 (- (log -1) (log N))))) (+ (* (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))) (/ (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) (/ (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))
* [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow N -1/3) (- (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) (* (* -1/9 (pow (/ 1 N) 1/3)) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))))
* [misc]backup-simplify:  Simplify (- (* 1/9 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (* 1/9 (* (pow (/ 1 N) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (exp (* 1/3 (- (log -1) (log N))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (/ 1 N)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (pow (/ 1 N) 2)) (+ (* (* 2/3 (* (pow (/ 1 (/ 1 N)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))) (/ 1 N)) (* (pow (/ 1 (/ 1 N)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) into (- (+ (* (pow N 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))) (* 2/3 (* (pow (/ 1 (pow N 2)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (* (pow (/ 1 (pow N 5)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (pow N -1/3)) into (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (+ 1 (/ 1 (- N)))) (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (+ 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (+ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (+ 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 (+ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N))))
* [misc]taylor:  Taking taylor expansion of (/ (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) (cbrt (- 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (* (/ 1 (- N)) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (* (/ 1 (- N)) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) 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 (- 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 -1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log -1) (* 2 (log N)))) into (* 1/3 (- (log -1) (* 2 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log -1) (* 2 (log N))))) into (exp (* 1/3 (- (log -1) (* 2 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (pow (- 1 (/ 1 (- N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (- 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 (- 1 (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log N))) into (* -1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log N))) into (pow N -1/3)
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log -1) (* 2 (log N))))) (pow N -1/3)) into (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))
* [misc]backup-simplify:  Simplify (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N))))))) into (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log -1) (* 2 (log N))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 1) 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) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow N -1/3)) (+ (* (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (/ (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))))) into (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) into (- (* 2/3 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))))
* [misc]backup-simplify:  Simplify (- (* 2/3 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) into (- (* 2/3 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log 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 (/ 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) (log -1)) into (- (log -1) (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (log -1) (* 2 (log N)))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (* 2 (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3))
* [misc]backup-simplify:  Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (pow N -1/3)) (+ (* (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))) (/ (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3))) (* (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))) (/ (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))))) into (- (* 1/9 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- (* 1/9 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- (* 1/3 (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (* (pow N 1/3) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) into (- (* 1/9 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))))
* [misc]backup-simplify:  Simplify (- (* 1/9 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N))))))))) into (- (* 1/9 (* (pow N 1/3) (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (* 2 (log N)))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/9 (* (pow (/ 1 (- N)) 1/3) (* (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N))))))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (* (pow (/ 1 (- N)) 1/3) (* (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N))))))))))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (* (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 (- N))))))))))) into (- (+ (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 N) 1/3)) (* 2/3 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 4)) 1/3)))) (* 1/9 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 7)) 1/3))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (pow (- 1 (* N N)) 1/3) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 2 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (pow (cbrt (- 1 (* N N))) 1) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 3 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (exp (log (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 4 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (log (exp (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 5 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 6 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- 1 (* N N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 7 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt 1) (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt 1) (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 8 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- (pow 1 3) (pow (* N N) 3))) (cbrt (+ (* 1 1) (+ (* (* N N) (* N N)) (* 1 (* N N)))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (pow 1 3) (pow (* N N) 3)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (pow (* N N) 3)))
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (pow (* N N) 3))) (cbrt (+ (* 1 1) (+ (* (* N N) (* N N)) (* 1 (* N N)))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 9 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- (* 1 1) (* (* N N) (* N N)))) (cbrt (+ 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (* 1 1) (* (* N N) (* N N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* (* N N) (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* (* N N) (* N N)))) (cbrt (+ 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 10 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 11 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (* (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 12 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 (* N N))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 13 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* 1 (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 14 / 162 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) 1))>
* * * * [misc]progress:  [ 15 / 162 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 16 / 162 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 17 / 162 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 18 / 162 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 19 / 162 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N))))) (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))))>
* * * * [misc]progress:  [ 20 / 162 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N))))))>
* * * * [misc]progress:  [ 21 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (pow (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) 1)) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 22 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (exp (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (exp (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 23 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (exp (log (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 24 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (log (exp (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 25 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (/ (- 1 (* N N)) (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (- 1 (* N N)) (- 1 N))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (* N N)) (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (/ (- 1 (* N N)) (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 26 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 27 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (* (* (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 28 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 29 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- (cbrt (- 1 (* N N)))) (- (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 30 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 31 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 32 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 33 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 34 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 35 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) 1) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 36 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 37 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 38 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 39 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 40 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 41 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (sqrt (- 1 (* N N)))) 1) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (sqrt (- 1 (* N N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (sqrt (- 1 (* N N)))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 42 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 43 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 44 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (cbrt 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 45 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt 1) (cbrt (cbrt (- 1 N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (/ (cbrt 1) (cbrt (cbrt (- 1 N)))) (cbrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 46 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 47 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt 1) 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 48 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (cbrt (cbrt (- 1 (* N N))))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (cbrt (cbrt (- 1 (* N N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 49 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 50 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt 1))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 51 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 52 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (- 1 (* N N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N)))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 53 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) 1) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 54 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 55 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 56 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 57 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 58 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 59 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (sqrt (cbrt (- 1 (* N N)))) 1) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (sqrt (cbrt (- 1 (* N N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (sqrt (cbrt (- 1 (* N N)))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 60 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 61 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt (sqrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 62 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (cbrt 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 63 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (- 1 N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (/ 1 (cbrt (cbrt (- 1 N)))) (cbrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 64 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 (sqrt (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 65 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ 1 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 66 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* 1 (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 67 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (cbrt (- 1 (* N N))) (/ 1 (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 68 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ 1 (/ (cbrt (- 1 N)) (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 69 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N))))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 70 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 71 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt 1)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (cbrt 1)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 72 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N))))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 73 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 74 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) 1) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (/ (cbrt (- 1 (* N N))) 1) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 75 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (/ (cbrt (- 1 N)) (cbrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (/ (cbrt (- 1 N)) (cbrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 76 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (/ (cbrt (- 1 N)) (cbrt (sqrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- 1 (* N N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (/ (cbrt (- 1 N)) (cbrt (sqrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 77 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (/ (cbrt (- 1 N)) (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (/ (cbrt (- 1 N)) (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 78 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (/ (cbrt (- 1 N)) (cbrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (/ (cbrt (- 1 N)) (cbrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 79 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (/ (cbrt (- 1 N)) (sqrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (- 1 (* N N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (/ (cbrt (- 1 N)) (sqrt (cbrt (- 1 (* N N))))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 80 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ 1 (/ (cbrt (- 1 N)) (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 81 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (- 1 (* N N))) (cbrt (- (pow 1 3) (pow N 3)))) (cbrt (+ (* 1 1) (+ (* N N) (* 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* 1 1) (+ (* N N) (* 1 N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ 1 N) (* N N)))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (- 1 (* N N))) (cbrt (- (pow 1 3) (pow N 3)))) (cbrt (+ (+ 1 N) (* N N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 82 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (- 1 (* N N))) (cbrt (- (* 1 1) (* N N)))) (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt (- 1 (* N N))) (cbrt (- (* 1 1) (* N N)))) (cbrt (+ N 1)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 83 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- (pow 1 3) (pow (* N N) 3))) (* (cbrt (- 1 N)) (cbrt (+ (* 1 1) (+ (* (* N N) (* N N)) (* 1 (* N N)))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (pow 1 3) (pow (* N N) 3)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (pow (* N N) 3)))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (pow (* N N) 3))) (* (cbrt (- 1 N)) (cbrt (+ (* 1 1) (+ (* (* N N) (* N N)) (* 1 (* N N)))))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 84 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- (* 1 1) (* (* N N) (* N N)))) (* (cbrt (- 1 N)) (cbrt (+ 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- (* 1 1) (* (* N N) (* N N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (* (* N N) (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* (* N N) (* N N)))) (* (cbrt (- 1 N)) (cbrt (+ 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 85 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) 1) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (/ (cbrt (+ N 1)) (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (- 1 (* N N))) (/ (cbrt (+ N 1)) (cbrt (- 1 N)))) 1) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 86 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (pow (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) 1) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 87 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (+ (log (cbrt (+ 1 N))) (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (+ 1 N))) (- (log (cbrt (- 1 (* N N)))) (log (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ N 1))) (log (cbrt (- 1 N)))) (log (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (exp (+ (- (log (cbrt (+ N 1))) (log (cbrt (- 1 N)))) (log (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 88 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (+ (log (cbrt (+ 1 N))) (log (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (+ 1 N))) (log (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cbrt (+ N 1))) (log (cbrt (- 1 N)))) (log (cbrt (- 1 (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (exp (+ (- (log (cbrt (+ N 1))) (log (cbrt (- 1 N)))) (log (cbrt (- 1 (* N N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 89 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (exp (log (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 90 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (log (exp (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 91 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (+ 1 N) (/ (- 1 (* N N)) (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (+ 1 N) (/ (- 1 (* N N)) (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (251 enodes)
* [exit]simplify:  Simplified to (* (- 1 (* N N)) (/ (+ N 1) (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (cbrt (* (- 1 (* N N)) (/ (+ N 1) (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 92 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (+ 1 N) (* (* (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (+ 1 N) (* (* (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* [exit]simplify:  Simplified to (/ (* (+ N 1) (- 1 (* N N))) (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (cbrt (/ (* (+ N 1) (- 1 (* N N))) (- 1 N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 93 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (cbrt (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (cbrt (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 94 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (cbrt (* (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 95 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 96 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (- 1 (* N N)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (pow 1 3) (pow N 3))) (cbrt (- 1 (* N N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (+ (* 1 1) (- (* N N) (* 1 N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 N)) (cbrt (- (* N N) (- N 1))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (+ 1 (pow N 3)))) (* (cbrt (- 1 N)) (cbrt (- (* N N) (- N 1))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 97 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- (* 1 1) (* N N))) (cbrt (- 1 (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* 1 1) (* N N))) (cbrt (- 1 (* N N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* [enter]simplify:  Simplifying (* (cbrt (- 1 N)) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 N)) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (* (cbrt (- 1 N)) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 98 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 99 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (* (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (* (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))))) (cbrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 100 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (sqrt (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 101 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 102 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 103 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (cbrt 1))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 104 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 105 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 106 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N))))) 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 107 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 108 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 109 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt 1))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 110 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 111 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (sqrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 112 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) 1)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (sqrt (- 1 (* N N)))) 1)) (/ (cbrt (sqrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 113 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 114 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt (sqrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt (sqrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 115 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt 1))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (cbrt 1))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 116 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 117 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (sqrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) (sqrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 118 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt 1) 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 119 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 120 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt (sqrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 121 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt 1))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (cbrt 1))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 122 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 123 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) (sqrt (cbrt (- 1 N))))) (/ (cbrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 124 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (* (cbrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 (* N N))))) 1)) (/ (cbrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 125 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 126 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 127 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt 1))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 128 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 129 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (/ (sqrt (cbrt (- 1 (* N N)))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 130 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) 1)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (sqrt (cbrt (- 1 (* N N)))) 1)) (/ (sqrt (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 131 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt (* (cbrt (- 1 N)) (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 132 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt (sqrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt (sqrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (cbrt (sqrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 133 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt 1))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (cbrt 1))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 134 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (* (cbrt (cbrt (- 1 N))) (cbrt (cbrt (- 1 N)))))) (/ (cbrt (- 1 (* N N))) (cbrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 135 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (sqrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 (sqrt (cbrt (- 1 N))))) (/ (cbrt (- 1 (* N N))) (sqrt (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 136 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ 1 1)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 137 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) 1) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 138 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N)))) (/ 1 (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (- 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N)))) (/ 1 (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 139 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- (pow 1 3) (pow N 3))))) (cbrt (+ (* 1 1) (+ (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* 1 1) (+ (* N N) (* 1 N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ 1 N) (* N N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- (pow 1 3) (pow N 3))))) (cbrt (+ (+ 1 N) (* N N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 140 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- (* 1 1) (* N N))))) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- (* 1 1) (* N N))))) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 141 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 142 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (sqrt (+ N 1))) (* (cbrt (sqrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 143 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt 1) (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt 1) (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 144 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) (* (cbrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) (* (cbrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 145 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (sqrt (cbrt (+ 1 N))) (* (sqrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (cbrt (+ N 1))) (* (sqrt (cbrt (+ 1 N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 146 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* 1 (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 147 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (cbrt (- 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 N))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ 1 N)) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 148 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (+ (pow 1 3) (pow N 3))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (pow 1 3) (pow N 3))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (* N N))) (/ (cbrt (- 1 N)) (cbrt (+ 1 (pow N 3)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (/ (cbrt (- 1 (* N N))) (/ (cbrt (- 1 N)) (cbrt (+ 1 (pow N 3))))) (cbrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 149 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (/ (* (cbrt (- (* 1 1) (* N N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* 1 1) (* N N))) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (cbrt (- 1 N)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (+ 1 (* (/ (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 150 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N))) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* * * * [misc]progress:  [ 151 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- 1 (+ (* 1/9 (pow N 4)) (* 1/3 (pow N 2)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* 1/9 (pow N 4)) (* 1/3 (pow N 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (- 1 (+ (* 1/9 (pow N 4)) (* 1/3 (* N N))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- 1 (+ (* 1/9 (pow N 4)) (* 1/3 (* N N)))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 152 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 4))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 2))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 4))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (pow N 2)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (457 enodes)
* [exit]simplify:  Simplified to (- (cbrt (* (* N N) -1)) (* (cbrt (* (* N N) -1)) (+ (/ 1/3 (* N N)) (/ 1/9 (pow N 4)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- (cbrt (* (* N N) -1)) (* (cbrt (* (* N N) -1)) (+ (/ 1/3 (* N N)) (/ 1/9 (pow N 4))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 153 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 4))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 2))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))) (pow N 4)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (405 enodes)
* [exit]simplify:  Simplified to (- (/ (cbrt -1) (pow (/ -1 N) (* 2 1/3))) (* (/ (cbrt -1) (pow (/ -1 N) (* 2 1/3))) (+ (/ (/ 1/3 N) N) (/ 1/9 (pow N 4)))))
* [misc]simplify:  Simplified (2 2 2 1 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (- (/ (cbrt -1) (pow (/ -1 N) (* 2 1/3))) (* (/ (cbrt -1) (pow (/ -1 N) (* 2 1/3))) (+ (/ (/ 1/3 N) N) (/ 1/9 (pow N 4))))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 154 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1)))
* * * * [misc]progress:  [ 155 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1)))
* * * * [misc]progress:  [ 156 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (/ (* N (* (cbrt (- 1 (pow N 2))) (pow (cbrt (+ N 1)) 2))) (cbrt (- 1 N))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (/ (cbrt (- 1 N)) N) (cbrt (- 1 (* N N))))) 1)))
* * * * [misc]progress:  [ 157 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 N) 1) (* 1/9 (pow N 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ 1 (* 1/3 N)) (* (* 1/9 N) N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 158 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* N (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* (pow N 2) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* N (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (* (pow N 2) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (327 enodes)
* [exit]simplify:  Simplified to (* (/ (* (pow -1 1/3) (* (pow N 1/3) (pow N 1/3))) (* (pow -1 1/3) (pow N 1/3))) (- (+ (/ 1/3 N) 1) (/ (/ 1/9 N) N)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (* (pow -1 1/3) (* (pow N 1/3) (pow N 1/3))) (* (pow -1 1/3) (pow N 1/3))) (- (+ (/ 1/3 N) 1) (/ (/ 1/9 N) N)))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 159 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (- (+ (* 1/3 (* (pow (/ -1 (pow N 4)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* (pow (/ -1 N) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* 1/9 (* (pow (/ -1 (pow N 7)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (* (pow (/ -1 (pow N 4)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* (pow (/ -1 N) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))) (* 1/9 (* (pow (/ -1 (pow N 7)) 1/3) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N)))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt -1) (pow (/ -1 N) (* 1/3 2))) (- (* 1/3 (cbrt (/ -1 (pow N 4)))) (- (* (cbrt (/ -1 (pow N 7))) 1/9) (cbrt (/ -1 N)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* (/ (cbrt -1) (pow (/ -1 N) (* 1/3 2))) (- (* 1/3 (cbrt (/ -1 (pow N 4)))) (- (* (cbrt (/ -1 (pow N 7))) 1/9) (cbrt (/ -1 N)))))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 160 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 2/3 N)) (* (* 1/9 N) N))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (- (+ 1 (* 2/3 N)) (* (* 1/9 N) N)) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 161 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* (pow N 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))) (* 2/3 (* (pow (/ 1 (pow N 2)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (* (pow (/ 1 (pow N 5)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* (pow N 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))) (* 2/3 (* (pow (/ 1 (pow N 2)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N))))))))) (* 1/9 (* (pow (/ 1 (pow N 5)) 1/3) (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 N)))))) (exp (* 1/3 (- (log -1) (log (/ 1 N)))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (* (/ (pow -1 1/3) (/ (* (pow -1 1/3) (cbrt N)) (* (cbrt N) (cbrt N)))) (+ (- (* 2/3 (cbrt (/ (/ 1 N) N))) (* 1/9 (cbrt (/ 1 (pow N 5))))) (cbrt N)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (/ (pow -1 1/3) (/ (* (pow -1 1/3) (cbrt N)) (* (cbrt N) (cbrt N)))) (+ (- (* 2/3 (cbrt (/ (/ 1 N) N))) (* 1/9 (cbrt (/ 1 (pow N 5))))) (cbrt N))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 162 / 162 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (- (+ (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 N) 1/3)) (* 2/3 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 4)) 1/3)))) (* 1/9 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 7)) 1/3)))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (- (+ (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 N) 1/3)) (* 2/3 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 4)) 1/3)))) (* 1/9 (* (* (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow (/ -1 (pow N 7)) 1/3))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (* (* (* (pow (exp 1/3) (log N)) (pow -1 1/3)) (pow (/ -1 N) (* (- 2) 1/3))) (+ (- (cbrt (/ -1 N)) (* 1/9 (cbrt (/ -1 (pow N 7))))) (* 2/3 (cbrt (/ -1 (pow N 4))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (* (* (pow (exp 1/3) (log N)) (pow -1 1/3)) (pow (/ -1 N) (* (- 2) 1/3))) (+ (- (cbrt (/ -1 N)) (* 1/9 (cbrt (/ -1 (pow N 7))))) (* 2/3 (cbrt (/ -1 (pow N 4)))))) (* (cbrt (+ 1 N)) 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 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (/ (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))> #<alt (λ (N) (- (atan (+ 1 N)) (atan N)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (N)
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (/ (/ (* (cbrt (- 1 (* N N))) (cbrt (- 1 (* N N)))) (cbrt (- 1 N))) (cbrt (- 1 N))) (* (cbrt (+ 1 N)) N)))))> #<alt (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))> #<alt (λ (N) (- (atan (+ 1 N)) (atan N)))> #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (/ (cbrt (- 1 (* N N))) (cbrt (- 1 N)))) (* (cbrt (+ 1 N)) N)))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 3 256))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (* (+ 1 N) 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