* [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:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 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 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 253
* * [misc]simplify:  Extracting #4: cost 0 inf + 735
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (- (atan (+ 1 N)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ N 1))
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ N 1))
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1))
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
* [misc]approximate:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 28 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ 1 N) N) (+ 1 (* (+ 1 N) N))))>
* [enter]simplify:  Simplifying (- (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))
* [enter]simplify:  Simplifying (+ 1 (* (+ 1 N) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 43
* * [misc]simplify:  Extracting #3: cost 0 inf + 453
* [exit]simplify:  Simplified to (+ (+ N (* N N)) 1)
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N (* N N)) 1)))
* * * * [misc]progress:  [ 2 / 28 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ 1 N))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ 1 N))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 470
* * [misc]simplify:  Extracting #5: cost 1 inf + 2133
* * [misc]simplify:  Extracting #6: cost 0 inf + 2355
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))
* * * * [misc]progress:  [ 3 / 28 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ 1 N)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 28 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 5 / 28 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 6 / 28 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) (cbrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 7 / 28 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N))) (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 8 / 28 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ 1 N)) (atan N))) (sqrt (- (atan (+ 1 N)) (atan N)))))>
* * * * [misc]progress:  [ 9 / 28 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (+ (* (atan N) (atan N)) (* (atan (+ 1 N)) (atan N))))))>
* * * * [misc]progress:  [ 10 / 28 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (atan N))))>
* * * * [misc]progress:  [ 11 / 28 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 12 / 28 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) (+ (atan (+ 1 N)) (atan N))))>
* * * * [misc]progress:  [ 13 / 28 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 253
* * [misc]simplify:  Extracting #5: cost 4 inf + 254
* * [misc]simplify:  Extracting #6: cost 0 inf + 1002
* [exit]simplify:  Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 439
* * [misc]simplify:  Extracting #5: cost 4 inf + 440
* * [misc]simplify:  Extracting #6: cost 0 inf + 1188
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))
* * * * [misc]progress:  [ 14 / 28 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ 1 N)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 253
* * [misc]simplify:  Extracting #4: cost 3 inf + 254
* * [misc]simplify:  Extracting #5: cost 0 inf + 735
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))
* * * * [misc]progress:  [ 15 / 28 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ 1 N)) (- (atan N))))>
* * * * [misc]progress:  [ 16 / 28 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ 1 N)) 1) (atan N)))>
* * * * [misc]progress:  [ 17 / 28 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 18 / 28 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 19 / 28 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) (cbrt (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 20 / 28 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 21 / 28 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ 1 N))) (sqrt (atan (+ 1 N)))) (atan N)))>
* * * * [misc]progress:  [ 22 / 28 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ 1 N))) (atan N)))>
* * * * [misc]progress:  [ 23 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 253
* * [misc]simplify:  Extracting #4: cost 0 inf + 735
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 24 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 253
* * [misc]simplify:  Extracting #4: cost 0 inf + 735
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 25 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 253
* * [misc]simplify:  Extracting #4: cost 0 inf + 735
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [misc]simplify:  Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 26 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 191
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 27 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 191
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 28 / 28 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (atan (+ N 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 191
* [exit]simplify:  Simplified to (atan (+ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (* (+ 1 N) N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2))
* [misc]approximate:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) 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 / 39 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 1))>
* * * * [misc]progress:  [ 2 / 39 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 3 / 39 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 4 / 39 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 5 / 39 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 6 / 39 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 7 / 39 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 8 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (pow (* (+ 1 N) N) 1))))>
* * * * [misc]progress:  [ 9 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (exp (log (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 10 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (log (exp (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 11 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ 1 N) N)) (cbrt (* (+ 1 N) N))) (cbrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 12 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ 1 N) N) (* (+ 1 N) N)) (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 13 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ 1 N) N)) (sqrt (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 14 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 15 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 328
* [exit]simplify:  Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 16 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ 1 N)) N)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 126
* [exit]simplify:  Simplified to (sqrt (+ N 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ 1 N)) N)))))
* * * * [misc]progress:  [ 17 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 18 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow 1 3) (pow N 3)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))>
* [enter]simplify:  Simplifying (* (+ (pow 1 3) (pow N 3)) N)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 44
* * [misc]simplify:  Extracting #4: cost 0 inf + 450
* [exit]simplify:  Simplified to (+ (* (* N N) (* N N)) N)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))
* * * * [misc]progress:  [ 19 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (/ (* (- (* 1 1) (* N N)) N) (- 1 N)))))>
* [enter]simplify:  Simplifying (* (- (* 1 1) (* N N)) N)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 368
* * [misc]simplify:  Extracting #4: cost 0 inf + 571
* [exit]simplify:  Simplified to (- N (* N (* N N)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- N (* N (* N N))) (- 1 N)))))
* * * * [misc]progress:  [ 20 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* N (+ 1 N)))))>
* * * * [misc]progress:  [ 21 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ 1 (* (+ 1 N) N)) 1)))>
* * * * [misc]progress:  [ 22 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 23 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 24 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))) (cbrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 25 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N))) (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 26 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 27 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow 1 3) (pow (* (+ 1 N) N) 3)) (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))>
* * * * [misc]progress:  [ 28 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 29 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))) (- 1 (* (+ 1 N) N)))))>
* * * * [misc]progress:  [ 30 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* (+ 1 N) N) 1)))>
* * * * [misc]progress:  [ 31 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 32 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 33 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 34 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 167
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 35 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 167
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 36 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (+ N (pow N 2)))))>
* [enter]simplify:  Simplifying (+ N (pow N 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 167
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 37 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 38 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 39 / 39 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (+ (pow N 2) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow N 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow N 2) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow N 2)) 1) into (+ (pow N 2) 1)
* [misc]approximate:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 N) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) 1)
* [misc]approximate:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- N)) 2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 37 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ N (+ (pow N 2) 1))) 1))>
* * * * [misc]progress:  [ 2 / 37 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 3 / 37 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 4 / 37 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ N (+ (pow N 2) 1)))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))) (cbrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 5 / 37 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ N (+ (pow N 2) 1))) (atan2 1 (+ N (+ (pow N 2) 1)))) (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 6 / 37 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 7 / 37 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 8 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ N (+ (pow N 2) 1)) 1)))>
* * * * [misc]progress:  [ 9 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 10 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 11 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ N (+ (pow N 2) 1))) (cbrt (+ N (+ (pow N 2) 1)))) (cbrt (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 12 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ N (+ (pow N 2) 1)) (+ N (+ (pow N 2) 1))) (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 13 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ N (+ (pow N 2) 1))) (sqrt (+ N (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 14 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow N 3) (pow (+ (pow N 2) 1) 3)) (+ (* N N) (- (* (+ (pow N 2) 1) (+ (pow N 2) 1)) (* N (+ (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 15 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 16 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* N N) (* (+ (pow N 2) 1) (+ (pow N 2) 1))) (- N (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 17 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ N (pow N 2)) 1)))>
* * * * [misc]progress:  [ 18 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ (pow N 2) 1) N)))>
* * * * [misc]progress:  [ 19 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (pow (+ (pow N 2) 1) 1))))>
* * * * [misc]progress:  [ 20 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (exp (log (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 21 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (log (exp (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 22 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (* (* (cbrt (+ (pow N 2) 1)) (cbrt (+ (pow N 2) 1))) (cbrt (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 23 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (cbrt (* (* (+ (pow N 2) 1) (+ (pow N 2) 1)) (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 24 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (* (sqrt (+ (pow N 2) 1)) (sqrt (+ (pow N 2) 1))))))>
* * * * [misc]progress:  [ 25 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (/ (+ (pow (pow N 2) 3) (pow 1 3)) (+ (* (pow N 2) (pow N 2)) (- (* 1 1) (* (pow N 2) 1)))))))>
* * * * [misc]progress:  [ 26 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (* 1 (+ (pow N 2) 1)))))>
* * * * [misc]progress:  [ 27 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (/ (- (* (pow N 2) (pow N 2)) (* 1 1)) (- (pow N 2) 1)))))>
* * * * [misc]progress:  [ 28 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ 1 (pow N 2)))))>
* * * * [misc]progress:  [ 29 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 30 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 31 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 32 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 33 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 34 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 35 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ (pow N 2) 1)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 3
* * [misc]simplify:  Extracting #4: cost 0 inf + 126
* [exit]simplify:  Simplified to (+ 1 (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 36 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ (pow N 2) 1)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 3
* * [misc]simplify:  Extracting #4: cost 0 inf + 126
* [exit]simplify:  Simplified to (+ 1 (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 37 / 37 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ (pow N 2) 1)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 3
* * [misc]simplify:  Extracting #4: cost 0 inf + 126
* [exit]simplify:  Simplified to (+ 1 (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * [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)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (* 1/2 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (+ (* 1 3/8) (+ (* 1/2 1/2) (* 3/8 1))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (* 1/2 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (+ (* 1 3/8) (+ (* 1/2 1/2) (* 3/8 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 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8
* [misc]backup-simplify:  Simplify (+ (* 1 3/8) (+ (* -1/2 -1/2) (* 3/8 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 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (pow (+ 1 (* (+ 1 N) N)) 1/2))))>
* * * * [misc]progress:  [ 2 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (pow (sqrt (+ 1 (* (+ 1 N) N))) 1))))>
* * * * [misc]progress:  [ 3 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (exp (log (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 4 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (log (exp (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 5 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 6 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (cbrt (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 7 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) (sqrt (cbrt (+ 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 1139
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ N (* N N)) 1)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (fabs (cbrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ 1 (* (+ 1 N) N))))))))
* * * * [misc]progress:  [ 8 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))))))
* * * * [misc]progress:  [ 9 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt 1) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* 1 (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 10 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 99 inf + 1
* * [misc]simplify:  Extracting #4: cost 198 inf + 298
* * [misc]simplify:  Extracting #5: cost 72 inf + 16933
* * [misc]simplify:  Extracting #6: cost 0 inf + 28638
* * [misc]simplify:  Extracting #7: cost 0 inf + 28519
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))
* * * * [misc]progress:  [ 11 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (- 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 52 inf + 1
* * [misc]simplify:  Extracting #4: cost 71 inf + 3572
* * [misc]simplify:  Extracting #5: cost 23 inf + 9245
* * [misc]simplify:  Extracting #6: cost 0 inf + 11872
* * [misc]simplify:  Extracting #7: cost 0 inf + 11751
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))) (sqrt (- 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 12 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 13 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (fabs (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (fabs (sqrt (+ (+ 1 (* N N)) N))))))
* * * * [misc]progress:  [ 14 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* 1 (sqrt (+ 1 (* (+ 1 N) N)))))))>
* * * * [misc]progress:  [ 15 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (+ 1 (* (+ 1 N) N)) 1/2) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 16 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (pow (sqrt (+ 1 (* (+ 1 N) N))) 1) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 17 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (exp (log (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 18 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (log (exp (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 19 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 20 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (cbrt (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 21 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) (sqrt (cbrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 1139
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ N (* N N)) 1)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fabs (cbrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 22 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 23 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt 1) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 24 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (/ (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 99 inf + 1
* * [misc]simplify:  Extracting #4: cost 198 inf + 298
* * [misc]simplify:  Extracting #5: cost 72 inf + 16933
* * [misc]simplify:  Extracting #6: cost 0 inf + 28638
* * [misc]simplify:  Extracting #7: cost 0 inf + 28519
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (sqrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 25 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (/ (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (- 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 52 inf + 1
* * [misc]simplify:  Extracting #4: cost 71 inf + 3572
* * [misc]simplify:  Extracting #5: cost 23 inf + 9245
* * [misc]simplify:  Extracting #6: cost 0 inf + 11872
* * [misc]simplify:  Extracting #7: cost 0 inf + 11751
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))) (sqrt (- 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 26 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 27 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (fabs (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (fabs (sqrt (+ (+ 1 (* N N)) N))) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 28 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* 1 (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 29 / 85 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) 1))>
* * * * [misc]progress:  [ 30 / 85 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 31 / 85 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 32 / 85 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))) (cbrt (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))) (cbrt (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 33 / 85 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 34 / 85 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))) (sqrt (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 35 / 85 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* * * * [misc]progress:  [ 36 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ 1 (* (+ 1 N) N)) (+ 1/2 1/2))))>
* [enter]simplify:  Simplifying (+ 1 (* (+ 1 N) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 43
* * [misc]simplify:  Extracting #3: cost 0 inf + 453
* [exit]simplify:  Simplified to (+ (+ N (* N N)) 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (pow (+ (+ N (* N N)) 1) (+ 1/2 1/2))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (pow (+ 1 (* (+ 1 N) N)) 1)))
* * * * [misc]progress:  [ 37 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (sqrt (+ 1 (* (+ 1 N) N))) (+ 1 1))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (pow (sqrt (+ (+ 1 (* N N)) N)) (+ 1 1))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (pow (sqrt (+ 1 (* (+ 1 N) N))) 2)))
* * * * [misc]progress:  [ 38 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N))) 1/2)))>
* [enter]simplify:  Simplifying (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (468 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 62 inf + 0
* * [misc]simplify:  Extracting #2: cost 361 inf + 44
* * [misc]simplify:  Extracting #3: cost 269 inf + 12126
* * [misc]simplify:  Extracting #4: cost 85 inf + 46744
* * [misc]simplify:  Extracting #5: cost 11 inf + 57748
* * [misc]simplify:  Extracting #6: cost 0 inf + 59246
* [exit]simplify:  Simplified to (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (pow (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) 1/2)))
* * * * [misc]progress:  [ 39 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 43
* * [misc]simplify:  Extracting #3: cost 1 inf + 453
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (+ (+ (* N N) N) 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (pow (+ (+ (* N N) N) 1) 1)))
* * * * [misc]progress:  [ 40 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (sqrt (+ 1 (* (+ 1 N) N))) 2)))>
* * * * [misc]progress:  [ 41 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (sqrt (+ 1 (* (+ 1 N) N))) (+ 1 1))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (pow (sqrt (+ (+ 1 (* N N)) N)) (+ 1 1))))
* * * * [misc]progress:  [ 42 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) 1)))>
* * * * [misc]progress:  [ 43 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (+ (log (sqrt (+ 1 (* (+ 1 N) N)))) (log (sqrt (+ 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (+ 1 (* (+ 1 N) N)))) (log (sqrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 1119
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (+ (* N N) N) 1))) (log (sqrt (+ (+ (* N N) N) 1))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (exp (+ (log (sqrt (+ (+ (* N N) N) 1))) (log (sqrt (+ (+ (* N N) N) 1)))))))
* * * * [misc]progress:  [ 44 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 45 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 46 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))) (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))) (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (494 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 77 inf + 0
* * [misc]simplify:  Extracting #2: cost 528 inf + 3
* * [misc]simplify:  Extracting #3: cost 719 inf + 18997
* * [misc]simplify:  Extracting #4: cost 388 inf + 83396
* * [misc]simplify:  Extracting #5: cost 77 inf + 177046
* * [misc]simplify:  Extracting #6: cost 0 inf + 199495
* * [misc]simplify:  Extracting #7: cost 0 inf + 199253
* [exit]simplify:  Simplified to (* (* (+ (* (+ N 1) N) 1) (+ (* (+ N 1) N) 1)) (+ (* (+ N 1) N) 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (cbrt (* (* (+ (* (+ N 1) N) 1) (+ (* (+ N 1) N) 1)) (+ (* (+ N 1) N) 1)))))
* * * * [misc]progress:  [ 47 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) (cbrt (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))) (cbrt (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 48 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 49 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (sqrt (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (468 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 62 inf + 0
* * [misc]simplify:  Extracting #2: cost 361 inf + 44
* * [misc]simplify:  Extracting #3: cost 269 inf + 12126
* * [misc]simplify:  Extracting #4: cost 85 inf + 46744
* * [misc]simplify:  Extracting #5: cost 11 inf + 57748
* * [misc]simplify:  Extracting #6: cost 0 inf + 59246
* [exit]simplify:  Simplified to (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (sqrt (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))))))
* * * * [misc]progress:  [ 50 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))))>
* * * * [misc]progress:  [ 51 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N))))>
* [enter]simplify:  Simplifying (* (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 124
* * [misc]simplify:  Extracting #3: cost 5 inf + 288
* * [misc]simplify:  Extracting #4: cost 0 inf + 498
* [exit]simplify:  Simplified to (+ N (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 52 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 66 inf + 1
* * [misc]simplify:  Extracting #3: cost 101 inf + 1680
* * [misc]simplify:  Extracting #4: cost 32 inf + 12209
* * [misc]simplify:  Extracting #5: cost 0 inf + 17366
* * [misc]simplify:  Extracting #6: cost 0 inf + 17085
* [exit]simplify:  Simplified to (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 45 inf + 0
* * [misc]simplify:  Extracting #2: cost 137 inf + 290
* * [misc]simplify:  Extracting #3: cost 116 inf + 8080
* * [misc]simplify:  Extracting #4: cost 25 inf + 23461
* * [misc]simplify:  Extracting #5: cost 0 inf + 27093
* * [misc]simplify:  Extracting #6: cost 0 inf + 27051
* [exit]simplify:  Simplified to (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N)))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))) (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N))))))
* * * * [misc]progress:  [ 53 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 19 inf + 0
* * [misc]simplify:  Extracting #4: cost 88 inf + 1
* * [misc]simplify:  Extracting #5: cost 120 inf + 1022
* * [misc]simplify:  Extracting #6: cost 51 inf + 11103
* * [misc]simplify:  Extracting #7: cost 0 inf + 18604
* * [misc]simplify:  Extracting #8: cost 0 inf + 18401
* [exit]simplify:  Simplified to (* (sqrt (- 1 (* (* N (+ N 1)) (* N (+ N 1))))) (sqrt (+ 1 (* (* (* (* N (+ N 1)) (* N (+ N 1))) N) (+ N 1)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (- 1 (* (* N (+ N 1)) (* N (+ N 1))))) (sqrt (+ 1 (* (* (* (* N (+ N 1)) (* N (+ N 1))) N) (+ N 1))))) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 21 inf + 0
* * [misc]simplify:  Extracting #4: cost 90 inf + 2
* * [misc]simplify:  Extracting #5: cost 88 inf + 4024
* * [misc]simplify:  Extracting #6: cost 20 inf + 13873
* * [misc]simplify:  Extracting #7: cost 0 inf + 17431
* [exit]simplify:  Simplified to (* (sqrt (- 1 (+ (* N N) N))) (sqrt (- (- (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) -1)))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (* (sqrt (- 1 (+ (* N N) N))) (sqrt (- (- (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) -1))))))
* * * * [misc]progress:  [ 54 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 19 inf + 0
* * [misc]simplify:  Extracting #4: cost 118 inf + 1
* * [misc]simplify:  Extracting #5: cost 154 inf + 1588
* * [misc]simplify:  Extracting #6: cost 41 inf + 18752
* * [misc]simplify:  Extracting #7: cost 0 inf + 24292
* * [misc]simplify:  Extracting #8: cost 0 inf + 24130
* [exit]simplify:  Simplified to (* (sqrt (+ (* (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))) 1)) (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ (* (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))) 1)) (sqrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))))
* [enter]simplify:  Simplifying (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (334 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 49 inf + 0
* * [misc]simplify:  Extracting #4: cost 130 inf + 3
* * [misc]simplify:  Extracting #5: cost 132 inf + 4156
* * [misc]simplify:  Extracting #6: cost 27 inf + 20986
* * [misc]simplify:  Extracting #7: cost 0 inf + 25504
* * [misc]simplify:  Extracting #8: cost 0 inf + 25464
* [exit]simplify:  Simplified to (* (sqrt (- 1 (+ N (* N N)))) (sqrt (- 1 (- (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N)))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (* (sqrt (- 1 (+ N (* N N)))) (sqrt (- 1 (- (+ N (* N N)) (* (+ N (* N N)) (+ N (* N N))))))))))
* * * * [misc]progress:  [ 55 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (- 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (480 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 15 inf + 0
* * [misc]simplify:  Extracting #2: cost 94 inf + 1
* * [misc]simplify:  Extracting #3: cost 104 inf + 939
* * [misc]simplify:  Extracting #4: cost 26 inf + 14314
* * [misc]simplify:  Extracting #5: cost 0 inf + 18030
* * [misc]simplify:  Extracting #6: cost 0 inf + 17990
* [exit]simplify:  Simplified to (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (- 1 (* (+ 1 N) N)))))))
* [enter]simplify:  Simplifying (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (- 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 31 inf + 0
* * [misc]simplify:  Extracting #2: cost 57 inf + 165
* * [misc]simplify:  Extracting #3: cost 17 inf + 3188
* * [misc]simplify:  Extracting #4: cost 0 inf + 4738
* * [misc]simplify:  Extracting #5: cost 0 inf + 4660
* [exit]simplify:  Simplified to (- (- 1 N) (* N N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))) (- (- 1 N) (* N N)))))
* * * * [misc]progress:  [ 56 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* * * * [misc]progress:  [ 57 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N)))))) (cbrt (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 857
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N)))))) (cbrt (sqrt (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 58 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))) (sqrt (cbrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 655
* * [misc]simplify:  Extracting #6: cost 0 inf + 897
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))) (sqrt (cbrt (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 59 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 60 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt 1)) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt 1)) (sqrt (+ (+ 1 (* N N)) N)))))
* * * * [misc]progress:  [ 61 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ (+ N 1) (* N N)))))))
* * * * [misc]progress:  [ 62 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) 1) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 615
* [exit]simplify:  Simplified to (sqrt (+ (+ 1 (* N N)) N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) 1) (sqrt (+ (+ 1 (* N N)) N)))))
* * * * [misc]progress:  [ 63 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 1139
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ (* N N) N) 1))) (cbrt (sqrt (+ (+ (* N N) N) 1))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (sqrt (+ (+ (* N N) N) 1))) (cbrt (sqrt (+ (+ (* N N) N) 1)))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 64 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) (* (sqrt (cbrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 1139
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ N (* N N)) 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (fabs (cbrt (+ (+ N (* N N)) 1))) (* (sqrt (cbrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 65 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 66 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt 1) (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 67 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 43
* * [misc]simplify:  Extracting #5: cost 1 inf + 615
* * [misc]simplify:  Extracting #6: cost 0 inf + 817
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ N 1) (* N N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))))
* * * * [misc]progress:  [ 68 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))))>
* * * * [misc]progress:  [ 69 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 0
* * [misc]simplify:  Extracting #3: cost 73 inf + 44
* * [misc]simplify:  Extracting #4: cost 73 inf + 5197
* * [misc]simplify:  Extracting #5: cost 10 inf + 15236
* * [misc]simplify:  Extracting #6: cost 0 inf + 16169
* * [misc]simplify:  Extracting #7: cost 0 inf + 16089
* [exit]simplify:  Simplified to (sqrt (+ (* (+ N (* N N)) (+ N (* N N))) (- 1 (+ N (* N N)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (sqrt (+ (* (+ N (* N N)) (+ N (* N N))) (- 1 (+ N (* N N))))))))
* * * * [misc]progress:  [ 70 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (sqrt (- 1 (* (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (172 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 0
* * [misc]simplify:  Extracting #3: cost 57 inf + 43
* * [misc]simplify:  Extracting #4: cost 9 inf + 3642
* * [misc]simplify:  Extracting #5: cost 0 inf + 4460
* [exit]simplify:  Simplified to (sqrt (- 1 (+ (* N N) N)))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (sqrt (- 1 (+ (* N N) N))))))
* * * * [misc]progress:  [ 71 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 18 inf + 0
* * [misc]simplify:  Extracting #4: cost 60 inf + 2
* * [misc]simplify:  Extracting #5: cost 69 inf + 2275
* * [misc]simplify:  Extracting #6: cost 4 inf + 12836
* * [misc]simplify:  Extracting #7: cost 0 inf + 13636
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)))) (sqrt (+ (+ (* N N) N) 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)))) (sqrt (+ (+ (* N N) N) 1))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))
* * * * [misc]progress:  [ 72 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (- 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 17 inf + 0
* * [misc]simplify:  Extracting #4: cost 51 inf + 43
* * [misc]simplify:  Extracting #5: cost 61 inf + 3766
* * [misc]simplify:  Extracting #6: cost 7 inf + 10680
* * [misc]simplify:  Extracting #7: cost 0 inf + 11376
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (+ N (* N N)))) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (+ N (* N N)))) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) (sqrt (- 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 73 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* * * * [misc]progress:  [ 74 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)))))>
* [enter]simplify:  Simplifying (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 45
* * [misc]simplify:  Extracting #4: cost 0 inf + 911
* * [misc]simplify:  Extracting #5: cost 0 inf + 871
* [exit]simplify:  Simplified to (+ (* (+ (* 3/8 N) 1/2) N) 1)
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (* (+ (* 3/8 N) 1/2) N) 1))))
* * * * [misc]progress:  [ 75 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (* 3/8 (/ 1 N)) (+ N 1/2)))))>
* [enter]simplify:  Simplifying (+ (* 3/8 (/ 1 N)) (+ N 1/2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 44
* * [misc]simplify:  Extracting #3: cost 6 inf + 45
* * [misc]simplify:  Extracting #4: cost 2 inf + 293
* * [misc]simplify:  Extracting #5: cost 0 inf + 418
* [exit]simplify:  Simplified to (+ (+ 1/2 N) (/ 3/8 N))
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (+ 1/2 N) (/ 3/8 N)))))
* * * * [misc]progress:  [ 76 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))))))>
* [enter]simplify:  Simplifying (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 18 inf + 0
* * [misc]simplify:  Extracting #2: cost 19 inf + 86
* * [misc]simplify:  Extracting #3: cost 10 inf + 868
* * [misc]simplify:  Extracting #4: cost 3 inf + 1401
* * [misc]simplify:  Extracting #5: cost 0 inf + 1527
* [exit]simplify:  Simplified to (- (- -1/2 (/ 3/8 N)) N)
* [misc]simplify:  Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (- (- -1/2 (/ 3/8 N)) N))))
* * * * [misc]progress:  [ 77 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 45
* * [misc]simplify:  Extracting #4: cost 0 inf + 911
* * [misc]simplify:  Extracting #5: cost 0 inf + 871
* [exit]simplify:  Simplified to (+ (* (+ (* 3/8 N) 1/2) N) 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (* (+ (* 3/8 N) 1/2) N) 1) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 78 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (+ (* 3/8 (/ 1 N)) (+ N 1/2)) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (+ (* 3/8 (/ 1 N)) (+ N 1/2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 44
* * [misc]simplify:  Extracting #3: cost 6 inf + 45
* * [misc]simplify:  Extracting #4: cost 2 inf + 293
* * [misc]simplify:  Extracting #5: cost 0 inf + 418
* [exit]simplify:  Simplified to (+ (+ 1/2 N) (/ 3/8 N))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (+ 1/2 N) (/ 3/8 N)) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 79 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) (sqrt (+ 1 (* (+ 1 N) N))))))>
* [enter]simplify:  Simplifying (- (+ (* 3/8 (/ 1 N)) (+ N 1/2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 18 inf + 0
* * [misc]simplify:  Extracting #2: cost 19 inf + 86
* * [misc]simplify:  Extracting #3: cost 10 inf + 868
* * [misc]simplify:  Extracting #4: cost 3 inf + 1401
* * [misc]simplify:  Extracting #5: cost 0 inf + 1527
* [exit]simplify:  Simplified to (- (- -1/2 (/ 3/8 N)) N)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (atan2 1 (* (- (- -1/2 (/ 3/8 N)) N) (sqrt (+ 1 (* (+ 1 N) N))))))
* * * * [misc]progress:  [ 80 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 81 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 82 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (atan2 1 (+ N (+ (pow N 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 590
* * [misc]simplify:  Extracting #4: cost 0 inf + 633
* [exit]simplify:  Simplified to (atan2 1 (+ N (+ (* N N) 1)))
* [misc]simplify:  Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1))))
* * * * [misc]progress:  [ 83 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 84 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * * [misc]progress:  [ 85 / 85 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
* [enter]simplify:  Simplifying (+ N (+ (pow N 2) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 370
* * [misc]simplify:  Extracting #3: cost 0 inf + 371
* [exit]simplify:  Simplified to (+ N (+ 1 (* N N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))) (cbrt (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow 1 3) (pow N 3)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (N)
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))) (cbrt (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) (sqrt (atan2 1 (+ N (+ (pow N 2) 1))))))> #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))> #<alt (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow 1 3) (pow N 3)) N) (+ (* 1 1) (- (* N N) (* 1 N)))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 2 256))>
* [enter]simplify:  Simplifying (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 7 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 954
* [exit]simplify:  Simplified to (atan2 1 (* (sqrt (+ (* (+ N 1) N) 1)) (sqrt (+ (* (+ N 1) N) 1))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs