* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 132 additional inputs, on iter 1 have 124 / 256
* * * * [misc]points:  Computing exacts on every 8 of 132 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 132 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 132 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 132 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 67 additional inputs, on iter 2 have 189 / 256
* * * * [misc]points:  Computing exacts on every 4 of 67 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 67 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 67 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 40 additional inputs, on iter 3 have 216 / 256
* * * * [misc]points:  Computing exacts on every 2 of 40 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 40 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 25 additional inputs, on iter 4 have 231 / 256
* * * * [misc]points:  Computing exacts for 25 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 13 additional inputs, on iter 5 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 7 additional inputs, on iter 6 have 249 / 256
* * * * [misc]points:  Computing exacts for 7 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 7 have 253 / 256
* * * * [misc]points:  Computing exacts for 4 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 (- (log (+ N 1)) (log N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (- (log1p N) (log N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (log1p N) (log N)) in N
* [misc]taylor:  Taking taylor expansion of (log1p N) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log 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 (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (- (log1p N) (log N)) in N
* [misc]taylor:  Taking taylor expansion of (log1p N) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (+ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log 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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (- (log N)) into (- (log N))
* [misc]backup-simplify:  Simplify (+ 0 (- (log N))) into (- (log N))
* [misc]backup-simplify:  Simplify (- (log N)) into (- (log N))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (log1p (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 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 (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (log1p (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of 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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (- (- (log N))) into (log N)
* [misc]backup-simplify:  Simplify (+ (- (log N)) (log N)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (log1p (/ 1 (- N))) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- 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 (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (log1p (/ 1 (- N))) in N
* [misc]taylor:  Rewrote expression to (log (+ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- 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 (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N))
* [misc]backup-simplify:  Simplify (- (- (log -1) (log N))) into (- (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (- (log -1) (log N)) (- (log N) (log -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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 2 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 3 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
* [enter]simplify:  Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1))))
* [enter]simplify:  Simplifying (fma (- (log N)) 1 (* (log N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (fma -1 (log N) (log N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N))))
* * * * [misc]progress:  [ 4 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))>
* [enter]simplify:  Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 5 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))>
* [enter]simplify:  Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 6 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
* [enter]simplify:  Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1))))
* [enter]simplify:  Simplifying (fma (- (log N)) 1 (* (log N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (fma -1 (log N) (log N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N))))
* * * * [misc]progress:  [ 7 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))>
* [enter]simplify:  Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))))
* [enter]simplify:  Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 8 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))>
* [enter]simplify:  Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))))
* [enter]simplify:  Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0))
* * * * [misc]progress:  [ 9 / 32 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1))))>
* [enter]simplify:  Simplifying (fma 1 (log1p N) (- (* (log N) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1))))
* [enter]simplify:  Simplifying (fma (- (log N)) 1 (* (log N) 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (fma -1 (log N) (log N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N))))
* * * * [misc]progress:  [ 10 / 32 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 11 / 32 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 12 / 32 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N))))>
* [enter]simplify:  Simplifying (* (cbrt (log1p N)) (cbrt (log1p N)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (log1p N)) (cbrt (log1p N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N))))
* * * * [misc]progress:  [ 13 / 32 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))>
* [enter]simplify:  Simplifying (sqrt (log1p N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (log1p N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))
* * * * [misc]progress:  [ 14 / 32 ] simplifiying candidate #<alt (λ (N) (fma 1 (log1p N) (- (log N))))>
* * * * [misc]progress:  [ 15 / 32 ] simplifiying candidate #<alt (λ (N) (log (/ (+ 1 N) N)))>
* [enter]simplify:  Simplifying (/ (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (+ N 1) N)
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (/ (+ N 1) N)))
* * * * [misc]progress:  [ 16 / 32 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (log1p N)) N)))>
* [enter]simplify:  Simplifying (/ (exp (log1p N)) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (exp (log1p N)) N)
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N)))
* * * * [misc]progress:  [ 17 / 32 ] simplifiying candidate #<alt (λ (N) (pow (- (log1p N) (log N)) 1))>
* * * * [misc]progress:  [ 18 / 32 ] simplifiying candidate #<alt (λ (N) (exp (log (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 19 / 32 ] simplifiying candidate #<alt (λ (N) (log (exp (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 20 / 32 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 21 / 32 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 22 / 32 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N)))))>
* * * * [misc]progress:  [ 23 / 32 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N))))))>
* * * * [misc]progress:  [ 24 / 32 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (log N))))>
* * * * [misc]progress:  [ 25 / 32 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log1p N) (log N))))>
* * * * [misc]progress:  [ 26 / 32 ] simplifiying candidate #<alt (λ (N) (/ (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N))))>
* * * * [misc]progress:  [ 27 / 32 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (log1p N)) (sqrt (log N)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (log1p N)) (sqrt (log N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N)))))
* [enter]simplify:  Simplifying (- (sqrt (log1p N)) (sqrt (log N)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (log1p N)) (sqrt (log N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N)))))
* * * * [misc]progress:  [ 28 / 32 ] simplifiying candidate #<alt (λ (N) (* 1 (- (log1p N) (log N))))>
* [enter]simplify:  Simplifying (- (log1p N) (log N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (- (log1p N) (log N))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N))))
* * * * [misc]progress:  [ 29 / 32 ] simplifiying candidate #<alt (λ (N) (+ (log1p N) (- (log N))))>
* * * * [misc]progress:  [ 30 / 32 ] simplifiying candidate #<alt (λ (N) (- N (+ (log N) (* 1/2 (pow N 2)))))>
* [enter]simplify:  Simplifying (- N (+ (log N) (* 1/2 (pow N 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (fma (* N -1/2) N (- N (log N)))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N))))
* * * * [misc]progress:  [ 31 / 32 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 32 / 32 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [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 1)
* [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 (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (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 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (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 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (- 0) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1/3 N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N)
* [misc]approximate:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N)
* [misc]approximate:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 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 (- 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 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0
* [misc]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 -1) (+ (* -1/3 (/ 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 (- 0) into 0
* [misc]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 -1) (+ (* -1/3 (/ 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 (* -1/3 (/ 1 (- N))) into (/ 1/3 N)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [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 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]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 (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]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 (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ -1/2 (* 1/3 (/ 1 N))) into (- (* 1/3 (/ 1 N)) 1/2)
* [misc]approximate:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 (- (/ 0 1) (+ (* 1/3 (/ 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 (+ 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 (- (/ 0 1) (+ (* 1/3 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1 N)) -1/2) into (- (* 1/3 (/ 1 N)) 1/2)
* [misc]approximate:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) 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 (- 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 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 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 -1) (+ (* -1/3 (/ 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 (+ 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 (- (/ 0 -1) (+ (* -1/3 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1/3 (/ 1 (- N))) -1/2) into (- (* 1/3 (/ 1 N)) 1/2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 68 ] simplifiying candidate #<alt (λ (N) (fma (log1p (expm1 (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 2 / 68 ] simplifiying candidate #<alt (λ (N) (fma (expm1 (log1p (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 3 / 68 ] simplifiying candidate #<alt (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 4 / 68 ] simplifiying candidate #<alt (λ (N) (fma (pow N (- 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (- 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to -2
* [misc]simplify:  Simplified (2 1 2) to (λ (N) (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 5 / 68 ] simplifiying candidate #<alt (λ (N) (fma (pow (* N N) (- 1)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 1 2) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 6 / 68 ] simplifiying candidate #<alt (λ (N) (fma (pow (/ 1 (* N N)) 1) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 7 / 68 ] simplifiying candidate #<alt (λ (N) (fma (exp (- (log (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 8 / 68 ] simplifiying candidate #<alt (λ (N) (fma (exp (log (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 9 / 68 ] simplifiying candidate #<alt (λ (N) (fma (log (exp (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 10 / 68 ] simplifiying candidate #<alt (λ (N) (fma (* (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 11 / 68 ] simplifiying candidate #<alt (λ (N) (fma (cbrt (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 12 / 68 ] simplifiying candidate #<alt (λ (N) (fma (* (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 13 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ (- 1) (- (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 14 / 68 ] simplifiying candidate #<alt (λ (N) (fma (* 1 (/ 1 (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 15 / 68 ] simplifiying candidate #<alt (λ (N) (fma (* 1 (/ 1 (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 16 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (/ (* N N) 1)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 17 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 18 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (log1p (expm1 (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 19 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (expm1 (log1p (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 20 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (pow (/ 1/3 N) 1) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 21 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (exp (log (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 22 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (log (exp (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 23 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 24 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (cbrt (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 25 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N))) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 26 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ (- 1/3) (- N)) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 27 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* 1 (/ 1/3 N)) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 28 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 29 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1 (/ N 1/3)) 1/2) (/ 1 N)))>
* * * * [misc]progress:  [ 30 / 68 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 31 / 68 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 32 / 68 ] simplifiying candidate #<alt (λ (N) (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 33 / 68 ] simplifiying candidate #<alt (λ (N) (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1))>
* * * * [misc]progress:  [ 34 / 68 ] simplifiying candidate #<alt (λ (N) (exp (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 35 / 68 ] simplifiying candidate #<alt (λ (N) (log (exp (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 36 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 37 / 68 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 38 / 68 ] simplifiying candidate #<alt (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 39 / 68 ] simplifiying candidate #<alt (λ (N) (* 1 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))>
* * * * [misc]progress:  [ 40 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (log1p (expm1 (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 41 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (expm1 (log1p (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 42 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- 1/2)) (/ 1 N)))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N)))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- 1/2)) (/ 1 N)))
* * * * [misc]progress:  [ 43 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/2)) (/ 1 N)))>
* [enter]simplify:  Simplifying (sqrt (/ 1/3 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1/3 N))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/2)) (/ 1 N)))
* * * * [misc]progress:  [ 44 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (fma 1 (/ 1/3 N) (- 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 45 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (fma 1/3 (/ 1 N) (- 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 46 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (pow (- (/ 1/3 N) 1/2) 1) (/ 1 N)))>
* * * * [misc]progress:  [ 47 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (exp (log (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 48 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (log (exp (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 49 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (* (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))) (cbrt (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 50 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (cbrt (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 51 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (* (sqrt (- (/ 1/3 N) 1/2)) (sqrt (- (/ 1/3 N) 1/2))) (/ 1 N)))>
* * * * [misc]progress:  [ 52 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (/ (- (pow (/ 1/3 N) 3) (pow 1/2 3)) (+ (* (/ 1/3 N) (/ 1/3 N)) (+ (* 1/2 1/2) (* (/ 1/3 N) 1/2)))) (/ 1 N)))>
* * * * [misc]progress:  [ 53 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) (- 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 54 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (* 1 (- (/ 1/3 N) 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 55 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (/ (- (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 1/2)) (+ (/ 1/3 N) 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 56 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) (- 1/2)) (/ 1 N)))>
* * * * [misc]progress:  [ 57 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 58 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 59 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 60 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1/3 N)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ 1/3 N)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 61 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1/3 N)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ 1/3 N)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 62 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (/ 1/3 N)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (/ 1/3 N)
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 63 / 68 ] simplifiying candidate #<alt (λ (N) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (230 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)))
* * * * [misc]progress:  [ 64 / 68 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 65 / 68 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 66 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (- (* 1/3 (/ 1 N)) 1/2)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (+ (/ 1/3 N) -1/2)
* [misc]simplify:  Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N)))
* * * * [misc]progress:  [ 67 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (- (* 1/3 (/ 1 N)) 1/2)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (+ (/ 1/3 N) -1/2)
* [misc]simplify:  Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N)))
* * * * [misc]progress:  [ 68 / 68 ] simplifiying candidate #<alt (λ (N) (fma (/ 1 (* N N)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))>
* [enter]simplify:  Simplifying (- (* 1/3 (/ 1 N)) 1/2)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (+ (/ 1/3 N) -1/2)
* [misc]simplify:  Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (pow N 1/3) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (pow N 1/3) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 N) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 N) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (* 1 1/3) into 1/3
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (log 1/3) into (log 1/3)
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))
* [misc]backup-simplify:  Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/3 1) into 1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (* 1/3 (log N)) into (* 1/3 (log N))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log N))) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (pow N 1/3) into (pow N 1/3)
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6)
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1/3 0) into 1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) 0) into (log N)
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Rewrote expression to (pow (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N
* [misc]taylor:  Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of 1/3 in N
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1/3 -1) into -1/3
* [misc]taylor:  Taking taylor expansion of 1/2 in N
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1))))
* [misc]backup-simplify:  Simplify (- 1/2) into -1/2
* [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (* 1 -1/2) into -1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/2 0) into -1/2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ -1/3 0) into -1/3
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1))
* [misc]backup-simplify:  Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1)
* [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 (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* N N)) in N
* [misc]taylor:  Taking taylor expansion of (* N N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (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 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (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 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (- 0) into 0
* [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (log1p (expm1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 2 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (expm1 (log1p (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 3 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)))>
* * * * [misc]progress:  [ 4 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (pow (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1)))>
* * * * [misc]progress:  [ 5 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (exp (log (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 6 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (log (exp (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 7 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (385 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))
* * * * [misc]progress:  [ 8 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))
* * * * [misc]progress:  [ 9 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt 1) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))
* * * * [misc]progress:  [ 10 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (* (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 11 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 12 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))))>
* * * * [misc]progress:  [ 13 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))>
* * * * [misc]progress:  [ 14 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log1p (expm1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 15 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (expm1 (log1p (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 16 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3)) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 17 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (pow (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1)) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 18 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (exp (log (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 19 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log (exp (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 20 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (385 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 21 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 22 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt 1) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 23 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (* (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 24 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 25 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 26 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 27 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (log1p (expm1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 28 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (expm1 (log1p (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 29 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (pow (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1/3) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 30 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (pow (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 31 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (exp (log (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 32 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (log (exp (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 33 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (385 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 34 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 35 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt 1) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (N) (* (* (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 36 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* (* (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 37 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 38 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 39 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 40 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (log1p (expm1 (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 41 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (expm1 (log1p (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 42 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 43 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow N (- 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- 2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to -2
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 44 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow (* N N) (- 1)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 45 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow (/ 1 (* N N)) 1) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 46 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (exp (- (log (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 47 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (exp (log (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 48 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (log (exp (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 49 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 50 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (cbrt (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 51 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N)))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 52 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ (- 1) (- (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 53 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* 1 (/ 1 (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 54 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (* 1 (/ 1 (* N N))) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 55 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (/ (* N N) 1)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 56 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* * * * [misc]progress:  [ 57 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (443 enodes)
* [exit]simplify:  Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))))
* * * * [misc]progress:  [ 58 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))))
* * * * [misc]progress:  [ 59 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))))>
* [enter]simplify:  Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))
* [misc]simplify:  Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))))
* * * * [misc]progress:  [ 60 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (443 enodes)
* [exit]simplify:  Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 61 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))
* [misc]simplify:  Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 62 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))
* [misc]simplify:  Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 63 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* * [misc]simplify:  iters left: 2 (443 enodes)
* [exit]simplify:  Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 64 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 65 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (* (* (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 66 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 67 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * * [misc]progress:  [ 68 / 68 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>
* [enter]simplify:  Simplifying (/ 1 (pow N 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* N N))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (N) (log (/ (+ 1 N) N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (log (/ (+ 1 N) N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 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 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 N) N)) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 N) N) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 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 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log N)) 0) into (- (log N))
* [misc]backup-simplify:  Simplify (- (log N)) into (- (log N))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 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 (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 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 (log 1) into 0
* [misc]backup-simplify:  Simplify 0 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)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]backup-simplify:  Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* [misc]approximate:  Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 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 (log 1) into 0
* [misc]taylor:  Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 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 (log 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify -1/2 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 (- 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 (- 0) into 0
* [misc]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 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [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]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 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 1) 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 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (* 1 (/ 1 N))) into (+ (/ 1 N) 1)
* [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]backup-simplify:  Simplify (+ 0 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) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 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)) (* 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (/ 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (/ 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 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 (/ 1 N)) 1) into (+ (/ 1 N) 1)
* [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]backup-simplify:  Simplify (+ 0 -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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 -1) (+ (* 1 (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 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 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 -1) (+ (* 1 (/ 0 -1)) (* -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 (- 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 (- 0) into 0
* [misc]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 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0
* [misc]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 (- 0) into 0
* [misc]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 -1) (+ (* 1 (/ 0 -1)) (* -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 (- 0) into 0
* [misc]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 (- 0) into 0
* [misc]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 -1) (+ (* 1 (/ 0 -1)) (* -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 (- 0) into 0
* [misc]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 (- 0) into 0
* [misc]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 -1) (+ (* 1 (/ 0 -1)) (* -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 (/ 1 (- N))) 1) into (+ (/ 1 N) 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 39 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 2 / 39 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 3 / 39 ] simplifiying candidate #<alt (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N)))))>
* [enter]simplify:  Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N)))))
* * * * [misc]progress:  [ 4 / 39 ] simplifiying candidate #<alt (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ 1 N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ N 1) N)))
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N)))))
* * * * [misc]progress:  [ 5 / 39 ] simplifiying candidate #<alt (λ (N) (+ (log 1) (log (/ (+ 1 N) N))))>
* [enter]simplify:  Simplifying (log 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N))))
* * * * [misc]progress:  [ 6 / 39 ] simplifiying candidate #<alt (λ (N) (+ (log (+ 1 N)) (log (/ 1 N))))>
* [enter]simplify:  Simplifying (log (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log1p N)
* [misc]simplify:  Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N))))
* * * * [misc]progress:  [ 7 / 39 ] simplifiying candidate #<alt (λ (N) (- (log (+ 1 N)) (log N)))>
* [enter]simplify:  Simplifying (log (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (log1p N)
* [misc]simplify:  Simplified (2 1) to (λ (N) (- (log1p N) (log N)))
* * * * [misc]progress:  [ 8 / 39 ] simplifiying candidate #<alt (λ (N) (* 1 (log (/ (+ 1 N) N))))>
* * * * [misc]progress:  [ 9 / 39 ] simplifiying candidate #<alt (λ (N) (pow (log (/ (+ 1 N) N)) 1))>
* * * * [misc]progress:  [ 10 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (+ 1 N) N)))>
* [enter]simplify:  Simplifying (/ (+ 1 N) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (+ N 1) N)
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (/ (+ N 1) N)))
* * * * [misc]progress:  [ 11 / 39 ] simplifiying candidate #<alt (λ (N) (exp (log (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 12 / 39 ] simplifiying candidate #<alt (λ (N) (log (exp (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 13 / 39 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 14 / 39 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 15 / 39 ] simplifiying candidate #<alt (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 16 / 39 ] simplifiying candidate #<alt (λ (N) (* 1 (log (/ (+ 1 N) N))))>
* * * * [misc]progress:  [ 17 / 39 ] simplifiying candidate #<alt (λ (N) (log (log1p (expm1 (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 18 / 39 ] simplifiying candidate #<alt (λ (N) (log (expm1 (log1p (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 19 / 39 ] simplifiying candidate #<alt (λ (N) (log (pow (/ (+ 1 N) N) 1)))>
* * * * [misc]progress:  [ 20 / 39 ] simplifiying candidate #<alt (λ (N) (log (exp (log (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 21 / 39 ] simplifiying candidate #<alt (λ (N) (log (log (exp (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 22 / 39 ] simplifiying candidate #<alt (λ (N) (log (* (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 23 / 39 ] simplifiying candidate #<alt (λ (N) (log (cbrt (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 24 / 39 ] simplifiying candidate #<alt (λ (N) (log (* (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)))))>
* * * * [misc]progress:  [ 25 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (- (+ 1 N)) (- N))))>
* * * * [misc]progress:  [ 26 / 39 ] simplifiying candidate #<alt (λ (N) (log (* 1 (/ (+ 1 N) N))))>
* * * * [misc]progress:  [ 27 / 39 ] simplifiying candidate #<alt (λ (N) (log (* (+ 1 N) (/ 1 N))))>
* * * * [misc]progress:  [ 28 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ 1 (/ N (+ 1 N)))))>
* * * * [misc]progress:  [ 29 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ 1 N))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N))))))
* * * * [misc]progress:  [ 30 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ 1 N))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 N))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ N 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N))))))
* * * * [misc]progress:  [ 31 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ 1 (/ N (+ 1 N)))))>
* * * * [misc]progress:  [ 32 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (+ (pow 1 3) (pow N 3)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))))))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow N 3))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (fma (* N N) N 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N)))))))
* * * * [misc]progress:  [ 33 / 39 ] simplifiying candidate #<alt (λ (N) (log (/ (- (* 1 1) (* N N)) (* N (- 1 N)))))>
* [enter]simplify:  Simplifying (- (* 1 1) (* N N))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (- 1 (* N N))
* [misc]simplify:  Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N)))))
* * * * [misc]progress:  [ 34 / 39 ] simplifiying candidate #<alt (λ (N) (- N (+ (log N) (* 1/2 (pow N 2)))))>
* [enter]simplify:  Simplifying (- N (+ (log N) (* 1/2 (pow N 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (fma (* N -1/2) N (- N (log N)))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N))))
* * * * [misc]progress:  [ 35 / 39 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 36 / 39 ] simplifiying candidate #<alt (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))
* [misc]simplify:  Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [misc]progress:  [ 37 / 39 ] simplifiying candidate #<alt (λ (N) (log (+ (/ 1 N) 1)))>
* [enter]simplify:  Simplifying (+ (/ 1 N) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (/ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N))))
* * * * [misc]progress:  [ 38 / 39 ] simplifiying candidate #<alt (λ (N) (log (+ (/ 1 N) 1)))>
* [enter]simplify:  Simplifying (+ (/ 1 N) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (/ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N))))
* * * * [misc]progress:  [ 39 / 39 ] simplifiying candidate #<alt (λ (N) (log (+ (/ 1 N) 1)))>
* [enter]simplify:  Simplifying (+ (/ 1 N) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (/ 1 N))
* [misc]simplify:  Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))> #<alt (λ (N) (log (/ (+ 1 N) N)))> #<alt (λ (N) (+ (log1p N) (log (/ 1 N))))> #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (N)
* * * * [misc]regimes:  Trying to branch on N from (#<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))> #<alt (λ (N) (log (/ (+ 1 N) N)))> #<alt (λ (N) (+ (log1p N) (log (/ 1 N))))> #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 1 117) #s(si 0 256))>
* [misc]binary-search:  Improving bounds with binary search for N and (#<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))> #<alt (λ (N) (log (/ (+ 1 N) N)))> #<alt (λ (N) (+ (log1p N) (log (/ 1 N))))> #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>)
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 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 16 points with exact outputs
* [misc]regimes:  Found splitpoints: (#s(sp 1 N 7808.580147031699) #s(sp 0 N +nan.0)) , with alts (#<alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))> #<alt (λ (N) (log (/ (+ 1 N) N)))> #<alt (λ (N) (+ (log1p N) (log (/ 1 N))))> #<alt (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))>)
* [enter]simplify:  Simplifying (if (<= N 7808.580147031699) (log (/ (+ 1 N) N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (if (<= N 7808.580147031699) (log (/ (+ 1 N) N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))
* * * * [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
* * * * [misc]points:  Sampling 3957 additional inputs, on iter 1 have 4043 / 8000
* * * * [misc]points:  Computing exacts on every 247 of 3957 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 123 of 3957 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 61 of 3957 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 30 of 3957 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 3957 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 3957 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 3957 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3957 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1985 additional inputs, on iter 2 have 6015 / 8000
* * * * [misc]points:  Computing exacts on every 124 of 1985 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 1985 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 1985 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 1985 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 1985 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 1985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1985 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 981 additional inputs, on iter 3 have 7019 / 8000
* * * * [misc]points:  Computing exacts on every 61 of 981 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 30 of 981 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 981 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 981 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 981 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 981 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 507 additional inputs, on iter 4 have 7493 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 507 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 507 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 507 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 507 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 507 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 256 additional inputs, on iter 5 have 7744 / 8000
* * * * [misc]points:  Computing exacts on every 16 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 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
* * * * [misc]points:  Sampling 114 additional inputs, on iter 6 have 7886 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 114 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 114 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 114 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 51 additional inputs, on iter 7 have 7949 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 51 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 8 have 7977 / 8000
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 9 additional inputs, on iter 9 have 7991 / 8000
* * * * [misc]points:  Computing exacts for 9 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 10 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 11 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 12 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 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