* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
* * * * [misc]progress:  [ 2 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
* * * * [misc]progress:  [ 3 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
* [enter]simplify:  Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (* (- 1 1) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (- 1 1) (atan N))))
* * * * [misc]progress:  [ 4 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
* [enter]simplify:  Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
* * * * [misc]progress:  [ 5 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
* [enter]simplify:  Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) 0))
* * * * [misc]progress:  [ 6 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
* [enter]simplify:  Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
* [enter]simplify:  Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (* (- 1 1) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ 1 N)) (atan N)) (* (- 1 1) (atan N))))
* * * * [misc]progress:  [ 7 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))>
* [enter]simplify:  Simplifying (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0))
* * * * [misc]progress:  [ 8 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
* [enter]simplify:  Simplifying (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) 0))
* * * * [misc]progress:  [ 9 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
* [enter]simplify:  Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (fma (- (atan N)) 1 (* (atan N) 1))))
* [enter]simplify:  Simplifying (fma (- (atan N)) 1 (* (atan N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (* (- 1 1) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (atan (+ N 1)) (atan N)) (* (- 1 1) (atan N))))
* * * * [misc]progress:  [ 10 / 32 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 11 / 32 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 12 / 32 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
* [enter]simplify:  Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ N 1))) (- (atan N))))
* * * * [misc]progress:  [ 13 / 32 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
* [enter]simplify:  Simplifying (sqrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (+ 1 N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (sqrt (atan (+ 1 N))) (sqrt (atan (+ N 1))) (- (atan N))))
* * * * [misc]progress:  [ 14 / 32 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
* * * * [misc]progress:  [ 15 / 32 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (- (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (fma N (+ N 1) 1)
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 16 / 32 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))
* * * * [misc]progress:  [ 17 / 32 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 18 / 32 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 19 / 32 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 20 / 32 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 21 / 32 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 22 / 32 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
* * * * [misc]progress:  [ 23 / 32 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
* * * * [misc]progress:  [ 24 / 32 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* * * * [misc]progress:  [ 25 / 32 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 26 / 32 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 27 / 32 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
* * * * [misc]progress:  [ 28 / 32 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))
* * * * [misc]progress:  [ 29 / 32 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* * * * [misc]progress:  [ 30 / 32 ] 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:  [ 31 / 32 ] 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:  [ 32 / 32 ] 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 (fma N (+ N 1) 1)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma N (+ N 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 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 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 1)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 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 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (fma N (+ N 1) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 25 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 2 / 25 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 3 / 25 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (fma N (+ N 1) 1)) 1))>
* * * * [misc]progress:  [ 4 / 25 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 5 / 25 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 6 / 25 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))) (cbrt (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 7 / 25 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 8 / 25 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (fma N (+ N 1) 1))) (sqrt (atan2 1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 9 / 25 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (fma N (+ N 1) 1))))>
* * * * [misc]progress:  [ 10 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 11 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 12 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N (+ N 1)) 1)))>
* * * * [misc]progress:  [ 13 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (fma N (+ N 1) 1) 1)))>
* * * * [misc]progress:  [ 14 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 15 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 16 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 17 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (fma N (+ N 1) 1) (fma N (+ N 1) 1)) (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 18 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (fma N (+ N 1) 1)) (sqrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 19 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (fma N (+ N 1) 1))))>
* * * * [misc]progress:  [ 20 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 21 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 22 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 23 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fma N (+ 1 N) 1)
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ 1 N) 1)))
* * * * [misc]progress:  [ 24 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fma N (+ 1 N) 1)
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ 1 N) 1)))
* * * * [misc]progress:  [ 25 / 25 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fma N (+ 1 N) 1)
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (fma N (+ 1 N) 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) into (atan2 1 (pow (cbrt (fma N (+ N 1) 1)) 3))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) into (atan2 1 (pow (cbrt (fma N (+ N 1) 1)) 3))
* [misc]backup-simplify:  Simplify (atan2 1 (pow (cbrt (fma N (+ N 1) 1)) 3)) into (atan2 1 (fma N (+ N 1) 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 (fma N (+ N 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (pow (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1))) (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) into (atan2 1 (pow (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3))
* [misc]backup-simplify:  Simplify (atan2 1 (pow (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) 3)) into (atan2 1 (fma (/ 1 N) (+ (/ 1 N) 1) 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 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1) 1)) into (atan2 1 (fma N (+ N 1) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) into (atan2 1 (pow (cbrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (* (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) into (atan2 1 (pow (cbrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3))
* [misc]backup-simplify:  Simplify (atan2 1 (pow (cbrt (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 3)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 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 (fma (/ -1 (/ 1 (- N))) (- 1 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1 (fma N (+ N 1) 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 2 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 3 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (fma N (+ N 1) 1) 1/3))))>
* * * * [misc]progress:  [ 4 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (pow (cbrt (fma N (+ N 1) 1)) 1))))>
* * * * [misc]progress:  [ 5 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (exp (log (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 6 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (log (exp (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 7 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 8 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 9 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))>
* [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) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))
* * * * [misc]progress:  [ 10 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 11 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 12 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 13 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* 1 (cbrt (fma N (+ N 1) 1))))))>
* * * * [misc]progress:  [ 14 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 15 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 16 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (fma N (+ N 1) 1) 1/3)) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 17 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (cbrt (fma N (+ N 1) 1)) 1)) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 18 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (exp (log (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 19 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log (exp (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 20 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 21 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 22 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 23 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 24 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 25 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 26 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 27 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 28 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 29 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ N 1) 1) 1/3) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 30 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 31 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 32 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 33 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 34 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 35 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 36 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 37 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 38 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 39 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* * * * [misc]progress:  [ 40 / 60 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 41 / 60 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 42 / 60 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) 1))>
* * * * [misc]progress:  [ 43 / 60 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 44 / 60 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 45 / 60 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 46 / 60 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 47 / 60 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 48 / 60 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))))>
* * * * [misc]progress:  [ 49 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma N (fma N 2/9 1/3) 1))))
* * * * [misc]progress:  [ 50 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))))))
* * * * [misc]progress:  [ 51 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3))))))
* * * * [misc]progress:  [ 52 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma N (fma N 2/9 1/3) 1)) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 53 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 54 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 55 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma N (fma N 2/9 1/3) 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 56 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 57 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))
* * * * [misc]progress:  [ 58 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 59 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 60 / 60 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 1))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (fma N (+ N 1) 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 1) (* 0 0)) into 1/3
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (fma N (+ N 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma N (+ N 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma N (+ N 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma N (+ N 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma N (+ N 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* N (+ N 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* N (+ N 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 1)) into 1
* [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 (+ (* 1/3 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 (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 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 2/9
* [misc]backup-simplify:  Simplify 2/9 into 2/9
* [misc]backup-simplify:  Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 N) (+ (/ 1 N) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 0 1)) into 1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1)) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1) 1) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) 1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (+ (/ 1 (- N)) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* -2/3 (log N))) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (pow N -2/3) into (pow N -2/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* 0 -1)) into -1
* [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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3)
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3))
* [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 (- 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 1) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log1p (expm1 (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 2 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (expm1 (log1p (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 3 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (fma N (+ N 1) 1) 1/3))))))>
* * * * [misc]progress:  [ 4 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (pow (cbrt (fma N (+ N 1) 1)) 1))))))>
* * * * [misc]progress:  [ 5 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (exp (log (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 6 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (log (exp (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 7 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))))
* * * * [misc]progress:  [ 8 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1)))))))))
* * * * [misc]progress:  [ 9 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))))>
* [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 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1))))))))
* * * * [misc]progress:  [ 10 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 11 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 12 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))))>
* * * * [misc]progress:  [ 13 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* 1 (cbrt (fma N (+ N 1) 1))))))))>
* * * * [misc]progress:  [ 14 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 15 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 16 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (pow (fma N (+ N 1) 1) 1/3)) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 17 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (pow (cbrt (fma N (+ N 1) 1)) 1)) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 18 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (exp (log (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 19 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (log (exp (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 20 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 21 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 22 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [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 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 23 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 24 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 25 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 26 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (* 1 (cbrt (fma N (+ N 1) 1)))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 27 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log1p (expm1 (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 28 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (expm1 (log1p (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 29 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (fma N (+ N 1) 1) 1/3)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 30 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (pow (cbrt (fma N (+ N 1) 1)) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 31 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (exp (log (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 32 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (log (exp (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 33 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 34 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 35 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (cbrt 1) (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 36 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 37 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 38 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 39 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (* 1 (cbrt (fma N (+ N 1) 1)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 40 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log1p (expm1 (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 41 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (expm1 (log1p (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 42 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (fma N (+ N 1) 1) 1/3) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 43 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (pow (cbrt (fma N (+ N 1) 1)) 1) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 44 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (exp (log (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 45 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (log (exp (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 46 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (fma (+ 1 N) N 1)) (cbrt (fma (+ 1 N) N 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 47 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma N (+ N 1) 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (fma N N 1) N)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (fma N N 1) N))) (cbrt (sqrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 48 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt 1) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 49 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (fma N (+ N 1) 1))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 50 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 51 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 52 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* 1 (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* * * * [misc]progress:  [ 53 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma N (fma N 2/9 1/3) 1))))))
* * * * [misc]progress:  [ 54 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))))))))
* * * * [misc]progress:  [ 55 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3))))))))
* * * * [misc]progress:  [ 56 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (fma N (fma N 2/9 1/3) 1)) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 57 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 58 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 59 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma N (fma N 2/9 1/3) 1)) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 60 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 61 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 62 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (fma N (fma N 2/9 1/3) 1)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma N (fma N 2/9 1/3) 1) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 63 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma (cbrt (/ 1 (pow N 4))) 2/9 (fma 1/3 (cbrt (/ 1 N)) (pow (/ 1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * * [misc]progress:  [ 64 / 64 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))>
* [enter]simplify:  Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fma 2/9 (cbrt (/ 1 (pow N 4))) (fma (cbrt (/ 1 N)) 1/3 (pow (/ -1 N) -2/3))) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (cbrt (fma N (+ N 1) 1)))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (N)
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (cbrt (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1)))))> #<alt (λ (N) (atan2 1 (fma N (+ N 1) 1)))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (sqrt (fma N (+ N 1) 1))) (cbrt (sqrt (fma N (+ N 1) 1)))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (sqrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))> #<alt (λ (N) (* (* (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))) (cbrt (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (cbrt (fma N (+ N 1) 1)))))))> #<alt (λ (N) (atan2 1 (* (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))) (* (sqrt (cbrt (fma N (+ N 1) 1))) (sqrt (* (cbrt (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1)))) (cbrt (cbrt (fma N (+ N 1) 1)))))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 1 256))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ N 1) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ N 1) 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