* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2)
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr x)) (+ (* -2 x) 1)) into (- (+ (* 2 (sqr x)) 1) (* 2 x))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 x))) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 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 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 (- x)))) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2
* [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 1))) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2
* [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt 1))) into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2
* [misc]backup-simplify:  Simplify (/ (- 2 (sqr -1) (+)) (* 2 1)) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqr x)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (sqr x)) 1) x)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2
* [misc]backup-simplify:  Simplify (/ (- -2 (sqr (/ 1 (sqrt -1))) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 (sqrt -1)) (sqr (/ 1 x))) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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 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 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2
* [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -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 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 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2
* [misc]backup-simplify:  Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1))
* [misc]backup-simplify:  Simplify (sqrt -1) into (sqrt -1)
* [misc]backup-simplify:  Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2
* [misc]backup-simplify:  Simplify (/ (- -2 (sqr (/ -1 (sqrt -1))) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 (sqrt -1)) (sqr (/ 1 (- x)))) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x)))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2)
* * * * [misc]progress:  [ 2 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* * * * [misc]progress:  [ 3 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* * * * [misc]progress:  [ 4 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2)
* * * * [misc]progress:  [ 5 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* * * * [misc]progress:  [ 6 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* * * * [misc]progress:  [ 7 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (- (+ (* 1/2 (sqr x)) 1) x))))>
* [enter]simplify:  Simplifying (* 2 (atan (- (+ (* 1/2 (sqr x)) 1) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (+ (* (* x x) 1/2) (- 1 x))))
* * * * [misc]progress:  [ 8 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 (sqrt -1)) x)) (/ 1/2 (* (* x x) (sqrt -1))))))
* * * * [misc]progress:  [ 9 / 54 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (* 1/2 (/ 1 (* (sqrt -1) (sqr x)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 (sqrt -1)) x)) (/ 1/2 (* (* x x) (sqrt -1))))))
* * * * [misc]progress:  [ 10 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (pow (/ (- 1 x) (+ 1 x)) 1)))))>
* * * * [misc]progress:  [ 11 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- (log (- 1 x)) (log (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (- (log (- 1 x)) (log (+ 1 x)))
* [exit]simplify:  Simplified to (- (log (- 1 x)) (log (+ 1 x)))
* * * * [misc]progress:  [ 12 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (exp (log (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (log (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (log (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 13 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (log (exp (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (exp (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 14 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cbrt (/ (cube (- 1 x)) (cube (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (cube (- 1 x)) (cube (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 15 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cube (cbrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cbrt (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 16 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cbrt (cube (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cube (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 17 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cube (/ (cbrt (- 1 x)) (cbrt (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))
* * * * [misc]progress:  [ 18 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 19 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 20 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (- 1 x)) (- (+ 1 x)))))))>
* [enter]simplify:  Simplifying (- (- 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (- (- 1 x))
* [exit]simplify:  Simplified to (- (- 1 x))
* [enter]simplify:  Simplifying (- (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (- (+ 1 x))
* [exit]simplify:  Simplified to (- (+ 1 x))
* * * * [misc]progress:  [ 21 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [enter]simplify:  Simplifying (/ x (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ x (+ x 1))
* [exit]simplify:  Simplified to (/ x (+ x 1))
* * * * [misc]progress:  [ 22 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ 1 1) (/ (- 1 x) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (- 1 x) (+ 1 x))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 23 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ 1 x)))))))>
* * * * [misc]progress:  [ 24 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (- 1 x) (/ 1 (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* * * * [misc]progress:  [ 25 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))))>
* [enter]simplify:  Simplifying (/ (+ 1 x) (- 1 x))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 x) (- 1 x))
* [exit]simplify:  Simplified to (/ (+ 1 x) (- 1 x))
* * * * [misc]progress:  [ 26 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) 1) (+ 1 x))))))>
* [enter]simplify:  Simplifying (/ (- 1 x) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (- 1 (/ x 1))
* [exit]simplify:  Simplified to (- 1 (/ x 1))
* * * * [misc]progress:  [ 27 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))))>
* [enter]simplify:  Simplifying (/ (+ 1 x) (- 1 x))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 x) (- 1 x))
* [exit]simplify:  Simplified to (/ (+ 1 x) (- 1 x))
* * * * [misc]progress:  [ 28 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (pow 1 3) (pow x 3))) (+ (sqr 1) (- (sqr x) (* 1 x))))))))>
* [enter]simplify:  Simplifying (/ (- 1 x) (- (pow 1 3) (pow x 3)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (cube x)))
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (cube x)))
* * * * [misc]progress:  [ 29 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (sqr 1) (sqr x))) (- 1 x))))))>
* [enter]simplify:  Simplifying (/ (- 1 x) (- (sqr 1) (sqr x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (* x x)))
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (* x x)))
* * * * [misc]progress:  [ 30 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (pow 1 3) (pow x 3)) (* (+ 1 x) (+ (sqr 1) (+ (sqr x) (* 1 x)))))))))>
* [enter]simplify:  Simplifying (* (+ 1 x) (+ (sqr 1) (+ (sqr x) (* 1 x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (+ (+ 1 x) (* x x)))
* [exit]simplify:  Simplified to (* (+ 1 x) (+ (+ 1 x) (* x x)))
* * * * [misc]progress:  [ 31 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (sqr 1) (sqr x)) (* (+ 1 x) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (* (+ 1 x) (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* * * * [misc]progress:  [ 32 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))>
* * * * [misc]progress:  [ 33 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (exp (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 34 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 35 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cube (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 36 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cbrt (cube (atan (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cube (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (cube (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (cube (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 37 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (sqr (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 38 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (* 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))>
* * * * [misc]progress:  [ 39 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (pow (/ (- 1 x) (+ 1 x)) 1/2))))>
* * * * [misc]progress:  [ 40 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (pow (sqrt (/ (- 1 x) (+ 1 x))) 1))))>
* * * * [misc]progress:  [ 41 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (exp (log (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (- 1 x) (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (- 1 x) (+ 1 x))))
* [exit]simplify:  Simplified to (log (sqrt (/ (- 1 x) (+ 1 x))))
* * * * [misc]progress:  [ 42 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (log (exp (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (/ (- 1 x) (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (- 1 x) (+ 1 x))))
* [exit]simplify:  Simplified to (exp (sqrt (/ (- 1 x) (+ 1 x))))
* * * * [misc]progress:  [ 43 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (cube (cbrt (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (- 1 x) (+ 1 x))))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (- 1 x) (+ 1 x))))
* * * * [misc]progress:  [ 44 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (cbrt (cube (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (/ (- 1 x) (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (* (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 45 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 46 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (/ (- 1 x) (+ 1 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 47 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x)))))))>
* [enter]simplify:  Simplifying (sqrt (- 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 48 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- (pow 1 3) (pow x 3)))) (sqrt (+ (sqr 1) (- (sqr x) (* 1 x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 x) (- (pow 1 3) (pow x 3))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (- 1 (cube x))))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (- 1 (cube x))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr 1) (- (sqr x) (* 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) (- x 1)))
* [exit]simplify:  Simplified to (sqrt (- (* x x) (- x 1)))
* * * * [misc]progress:  [ 49 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- (sqr 1) (sqr x)))) (sqrt (- 1 x))))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 x) (- (sqr 1) (sqr x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (sqrt (* 1 (/ 1 (+ 1 x))))
* [exit]simplify:  Simplified to (sqrt (* 1 (/ 1 (+ 1 x))))
* [enter]simplify:  Simplifying (sqrt (- 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* * * * [misc]progress:  [ 50 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))>
* [enter]simplify:  Simplifying (sqrt (- 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [enter]simplify:  Simplifying (sqrt (+ 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* * * * [misc]progress:  [ 51 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqr (sqrt (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (- 1 x) (+ 1 x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (- 1 x) (+ 1 x))))
* * * * [misc]progress:  [ 52 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ 1 x)))))))>
* * * * [misc]progress:  [ 53 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))>
* * * * [misc]progress:  [ 54 / 54 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (* 1 (sqrt (/ (- 1 x) (+ 1 x)))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 1 x)) (/ x (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr x)) (+ (* -2 x) 1)) into (- (+ (* 2 (sqr x)) 1) (* 2 x))
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 x))) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 (- x)))) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr x)) (+ (* -1 x) 1)) into (- (+ (sqr x) 1) x)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 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)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* -1 (sqr (/ 1 x))) (* 1 (/ 1 x)))) into (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- (+ (* -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 (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* -1 (sqr (/ 1 (- x)))) (* -1 (/ 1 (- x))))) into (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (/ x (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (- (/ 0 1) (+ (* 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 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow x 3)) (+ (* -1 (sqr x)) (* 1 x))) into (- (+ (pow x 3) x) (sqr x))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (/ 1 x))) (+ (* -1 (/ 1 x)) 1)) into (- (+ (/ 1 (sqr x)) 1) (/ 1 x))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 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) into 0
* [misc]backup-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 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (/ 1 (- x)))) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ (/ 1 (sqr x)) 1) (/ 1 x))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2)
* * * * [misc]progress:  [ 2 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* * * * [misc]progress:  [ 3 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* * * * [misc]progress:  [ 4 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (- (+ (sqr x) 1) x) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (sqr x) 1) x) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (- 1 x) (* x x)) (/ x (+ x 1))))))
* * * * [misc]progress:  [ 5 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (- (/ 1 x) (/ x (+ x 1))) (- (/ 1 (* x x)) (/ (/ 1 x) (* x x)))))) 2)
* * * * [misc]progress:  [ 6 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (- (/ 1 x) (/ x (+ x 1))) (- (/ 1 (* x x)) (/ (/ 1 x) (* x x)))))) 2)
* * * * [misc]progress:  [ 7 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))))
* * * * [misc]progress:  [ 8 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (+ x 1))))))
* * * * [misc]progress:  [ 9 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ (/ 1 (- 1 (/ 1 x))) x)))))
* * * * [misc]progress:  [ 10 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (pow x 3) x) (sqr x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (pow x 3) x) (sqr x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (* x (+ (* x x) (- 1 x)))))))
* * * * [misc]progress:  [ 11 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (/ 1 (+ x 1)) (/ 1 x)) (+ (/ 1 (* x x)) 1)))))
* * * * [misc]progress:  [ 12 / 67 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (/ 1 (+ x 1)) (/ 1 x)) (+ (/ 1 (* x x)) 1)))))
* * * * [misc]progress:  [ 13 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (log (/ (exp (/ 1 (+ 1 x))) (exp (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (exp (/ 1 (+ 1 x))) (exp (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 14 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (pow (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) 1)))))>
* * * * [misc]progress:  [ 15 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (exp (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (log (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 16 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (log (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (exp (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 17 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cube (cbrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cbrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (cbrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 18 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cbrt (cube (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cube (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cube (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (cube (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 19 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* * * * [misc]progress:  [ 20 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))))>
* [enter]simplify:  Simplifying (- 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* * * * [misc]progress:  [ 21 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (* 1 (+ 1 x)) (* (+ 1 x) x)) (* (+ 1 x) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (- (* 1 (+ 1 x)) (* (+ 1 x) x))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (- 1 x))
* [exit]simplify:  Simplified to (* (+ 1 x) (- 1 x))
* [enter]simplify:  Simplifying (* (+ 1 x) (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* * * * [misc]progress:  [ 22 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (+ (/ 1 (+ 1 x)) (- (/ x (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (- x) (+ x 1))
* [exit]simplify:  Simplified to (/ (- x) (+ x 1))
* * * * [misc]progress:  [ 23 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* 1 (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))>
* * * * [misc]progress:  [ 24 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (pow (/ 1 (+ 1 x)) 3) (pow (/ x (+ 1 x)) 3)) (+ (sqr (/ 1 (+ 1 x))) (+ (sqr (/ x (+ 1 x))) (* (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (pow (/ 1 (+ 1 x)) 3) (pow (/ x (+ 1 x)) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (- (cube (/ 1 (+ 1 x))) (cube (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (- (cube (/ 1 (+ 1 x))) (cube (/ x (+ 1 x))))
* [enter]simplify:  Simplifying (+ (sqr (/ 1 (+ 1 x))) (+ (sqr (/ x (+ 1 x))) (* (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 1 (+ 1 x)) (+ 1 x)) (* (/ x (+ 1 x)) (* (+ 1 x) (/ 1 (+ 1 x)))))
* [exit]simplify:  Simplified to (+ (/ (/ 1 (+ 1 x)) (+ 1 x)) (* (/ x (+ 1 x)) (* (+ 1 x) (/ 1 (+ 1 x)))))
* * * * [misc]progress:  [ 25 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (- (sqr (/ 1 (+ 1 x))) (sqr (/ x (+ 1 x)))) (+ (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- (sqr (/ 1 (+ 1 x))) (sqr (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (+ (/ x (+ 1 x)) (/ 1 (+ 1 x))) (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (* (+ (/ x (+ 1 x)) (/ 1 (+ 1 x))) (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
* [enter]simplify:  Simplifying (+ (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (/ x (+ 1 x)) (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (+ (/ x (+ 1 x)) (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 26 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* [enter]simplify:  Simplifying (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* [exit]simplify:  Simplified to (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))
* * * * [misc]progress:  [ 27 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* 1 (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* [exit]simplify:  Simplified to (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* * * * [misc]progress:  [ 28 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* 1 (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* [exit]simplify:  Simplified to (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))
* * * * [misc]progress:  [ 29 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ 1 x)) (- 1 x))))))>
* [enter]simplify:  Simplifying (- 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* * * * [misc]progress:  [ 30 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ 1 x)) (- 1 x))))))>
* [enter]simplify:  Simplifying (- 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* * * * [misc]progress:  [ 31 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (+ (sqr 1) (- (sqr x) (* 1 x))) (- (/ 1 (- (pow 1 3) (pow x 3))) (/ x (- (pow 1 3) (pow x 3)))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (- (pow 1 3) (pow x 3))) (/ x (- (pow 1 3) (pow x 3))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (- 1 (cube x))) (/ x (- 1 (cube x))))
* [exit]simplify:  Simplified to (- (/ 1 (- 1 (cube x))) (/ x (- 1 (cube x))))
* * * * [misc]progress:  [ 32 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (- 1 x) (- (/ 1 (- (sqr 1) (sqr x))) (/ x (- (sqr 1) (sqr x)))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (- (sqr 1) (sqr x))) (/ x (- (sqr 1) (sqr x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (- 1 (* x x))) (/ x (- 1 (* x x))))
* [exit]simplify:  Simplified to (- (/ 1 (- 1 (* x x))) (/ x (- 1 (* x x))))
* * * * [misc]progress:  [ 33 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (pow (+ 1 x) -1) (/ x (+ 1 x)))))))>
* * * * [misc]progress:  [ 34 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (pow (/ 1 (+ 1 x)) 1) (/ x (+ 1 x)))))))>
* * * * [misc]progress:  [ 35 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (exp (- (log (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (- (log (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (log (+ 1 x)))
* [exit]simplify:  Simplified to (- (log (+ 1 x)))
* * * * [misc]progress:  [ 36 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (exp (log (/ 1 (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (log (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (log (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 37 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (log (exp (/ 1 (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (exp (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (exp (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 38 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (cube (cbrt (/ 1 (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 39 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (cbrt (cube (/ 1 (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (cube (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (/ 1 (cube (+ 1 x)))
* [exit]simplify:  Simplified to (/ 1 (cube (+ 1 x)))
* * * * [misc]progress:  [ 40 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (sqr (sqrt (/ 1 (+ 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ 1 x)))
* * * * [misc]progress:  [ 41 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ (- 1) (- (+ 1 x))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (- (+ 1 x))
* [exit]simplify:  Simplified to (- (+ 1 x))
* * * * [misc]progress:  [ 42 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (* 1 (/ 1 (+ 1 x))) (/ x (+ 1 x)))))))>
* * * * [misc]progress:  [ 43 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (* 1 (/ 1 (+ 1 x))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* * * * [misc]progress:  [ 44 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (/ (+ 1 x) 1)) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ (+ 1 x) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 x) 1)
* [exit]simplify:  Simplified to (/ (+ 1 x) 1)
* * * * [misc]progress:  [ 45 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ (/ 1 1) (+ 1 x)) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 46 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (* (/ 1 (- (pow 1 3) (pow x 3))) (+ (sqr 1) (- (sqr x) (* 1 x)))) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 (- (pow 1 3) (pow x 3)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (- 1 (cube x)))
* [exit]simplify:  Simplified to (/ 1 (- 1 (cube x)))
* * * * [misc]progress:  [ 47 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (* (/ 1 (- (sqr 1) (sqr x))) (- 1 x)) (/ x (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr 1) (sqr x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (- 1 (* x x)))
* [exit]simplify:  Simplified to (/ 1 (- 1 (* x x)))
* * * * [misc]progress:  [ 48 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (pow (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) 1)))>
* * * * [misc]progress:  [ 49 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (exp (log (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (log (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* [exit]simplify:  Simplified to (log (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * * * [misc]progress:  [ 50 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (log (exp (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (exp (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* [exit]simplify:  Simplified to (exp (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * * * [misc]progress:  [ 51 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cube (cbrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cbrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * * * [misc]progress:  [ 52 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cbrt (cube (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cube (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (cube (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* [exit]simplify:  Simplified to (cube (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * * * [misc]progress:  [ 53 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (sqr (sqrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * * * [misc]progress:  [ 54 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (* 1 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))>
* * * * [misc]progress:  [ 55 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (pow (/ x (+ 1 x)) 1))))))>
* * * * [misc]progress:  [ 56 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (exp (log (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (log (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (log (/ x (+ x 1)))
* [exit]simplify:  Simplified to (log (/ x (+ x 1)))
* * * * [misc]progress:  [ 57 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (log (exp (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (exp (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (exp (/ x (+ x 1)))
* [exit]simplify:  Simplified to (exp (/ x (+ x 1)))
* * * * [misc]progress:  [ 58 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (cube (cbrt (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cbrt (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (/ x (+ x 1)))
* [exit]simplify:  Simplified to (cbrt (/ x (+ x 1)))
* * * * [misc]progress:  [ 59 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (cbrt (cube (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (cube (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (cube (/ x (+ x 1)))
* [exit]simplify:  Simplified to (cube (/ x (+ x 1)))
* * * * [misc]progress:  [ 60 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (sqr (sqrt (/ x (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ x (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (/ x (+ x 1)))
* [exit]simplify:  Simplified to (sqrt (/ x (+ x 1)))
* * * * [misc]progress:  [ 61 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ (- x) (- (+ 1 x))))))))>
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* [enter]simplify:  Simplifying (- (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (- (+ 1 x))
* [exit]simplify:  Simplified to (- (+ 1 x))
* * * * [misc]progress:  [ 62 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* 1 (/ x (+ 1 x))))))))>
* * * * [misc]progress:  [ 63 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* x (/ 1 (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* * * * [misc]progress:  [ 64 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ 1 (/ (+ 1 x) x)))))))>
* [enter]simplify:  Simplifying (/ (+ 1 x) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 x) x)
* [exit]simplify:  Simplified to (/ (+ 1 x) x)
* * * * [misc]progress:  [ 65 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ (/ x 1) (+ 1 x)))))))>
* [enter]simplify:  Simplifying (/ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ x 1)
* [exit]simplify:  Simplified to (/ x 1)
* * * * [misc]progress:  [ 66 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* (/ x (- (pow 1 3) (pow x 3))) (+ (sqr 1) (- (sqr x) (* 1 x)))))))))>
* [enter]simplify:  Simplifying (/ x (- (pow 1 3) (pow x 3)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (/ x (- 1 (cube x)))
* [exit]simplify:  Simplified to (/ x (- 1 (cube x)))
* * * * [misc]progress:  [ 67 / 67 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* (/ x (- (sqr 1) (sqr x))) (- 1 x)))))))>
* [enter]simplify:  Simplifying (/ x (- (sqr 1) (sqr x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ x (- 1 (sqr x)))
* [exit]simplify:  Simplified to (/ x (- 1 (sqr x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr -1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr x)) (+ (* -2 x) 1)) into (- (+ (* 2 (sqr x)) 1) (* 2 x))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr -1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqr x)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (sqr x)) 1) x)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (sqr x)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 x))) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 (- x)))) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2)
* * * * [misc]progress:  [ 2 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))
* * * * [misc]progress:  [ 3 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))
* * * * [misc]progress:  [ 4 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (- (+ (* 1/2 (sqr x)) 1) x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* 1/2 (sqr x)) 1) x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (fabs (+ (* (* x x) 1/2) (- 1 x)))))
* * * * [misc]progress:  [ 5 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))
* * * * [misc]progress:  [ 6 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))
* * * * [misc]progress:  [ 7 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (atan (fabs (/ (sqrt (- 1 x)) (- (+ (* 1/2 x) 1) (* 1/8 (* x x)))))) 2)
* * * * [misc]progress:  [ 8 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))
* * * * [misc]progress:  [ 9 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))
* * * * [misc]progress:  [ 10 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2)
* * * * [misc]progress:  [ 11 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* * * * [misc]progress:  [ 12 / 76 ] simplifiying candidate #<alt-event (λ (x) (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* * * * [misc]progress:  [ 13 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (pow (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) 2)))))>
* * * * [misc]progress:  [ 14 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (pow (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) 1)))))>
* * * * [misc]progress:  [ 15 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (exp (log (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (log (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (log (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 16 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (log (exp (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (exp (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 17 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cube (cbrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 18 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (cbrt (cube (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cube (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (cube (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 19 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 x) (+ 1 x)))
* * * * [misc]progress:  [ 20 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ (sqrt 1) (sqrt 1))) (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 21 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ (sqrt 1) 1)) (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 22 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ 1 (sqrt 1))) (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 23 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ 1 1)) (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr (/ 1 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 24 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr 1) (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqr 1)
* [exit]simplify:  Simplified to (sqr 1)
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 25 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (sqrt (- 1 x))) (sqr (/ 1 (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* [enter]simplify:  Simplifying (sqr (/ 1 (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* * * * [misc]progress:  [ 26 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow x 3))))) (sqr (sqrt (+ (sqr 1) (- (sqr x) (* 1 x))))))))))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow x 3)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (cube x)))
* [exit]simplify:  Simplified to (/ (- 1 x) (- 1 (cube x)))
* [enter]simplify:  Simplifying (sqr (sqrt (+ (sqr 1) (- (sqr x) (* 1 x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (- 1 x))
* [exit]simplify:  Simplified to (+ (* x x) (- 1 x))
* * * * [misc]progress:  [ 27 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (sqr (/ (sqrt (- 1 x)) (sqrt (- (sqr 1) (sqr x))))) (sqr (sqrt (- 1 x))))))))>
* [enter]simplify:  Simplifying (sqr (/ (sqrt (- 1 x)) (sqrt (- (sqr 1) (sqr x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [enter]simplify:  Simplifying (sqr (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* * * * [misc]progress:  [ 28 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (/ (sqr (sqrt (- 1 x))) (sqr (sqrt (+ 1 x))))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (- 1 x)
* [exit]simplify:  Simplified to (- 1 x)
* [enter]simplify:  Simplifying (sqr (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [exit]simplify:  Simplified to (+ 1 x)
* * * * [misc]progress:  [ 29 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))>
* * * * [misc]progress:  [ 30 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (* 1 (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* * * * [misc]progress:  [ 31 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (pow (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) 1))))))>
* * * * [misc]progress:  [ 32 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (exp (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 33 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (exp (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 34 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (log (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 35 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (cbrt (/ (cube (sqrt (- 1 x))) (cube (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (/ (cube (sqrt (- 1 x))) (cube (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 x) (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (* (/ (- 1 x) (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 36 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (cube (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 37 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (cbrt (cube (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cube (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 x) (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (* (/ (- 1 x) (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 38 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (cube (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 39 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqrt (/ (- 1 x) (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (- 1 x) (+ 1 x))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* [exit]simplify:  Simplified to (/ (- 1 x) (+ 1 x))
* * * * [misc]progress:  [ 40 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqr (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 41 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (sqr (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 42 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (- (sqrt (- 1 x))) (- (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (- (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (- (sqrt (- 1 x)))
* [exit]simplify:  Simplified to (- (sqrt (- 1 x)))
* [enter]simplify:  Simplifying (- (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 43 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 44 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ (sqrt 1) 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) 1)
* [exit]simplify:  Simplified to (/ (sqrt 1) 1)
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 45 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 46 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ 1 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 47 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* 1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* * * * [misc]progress:  [ 48 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (sqrt (- 1 x)) (/ 1 (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 49 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ 1 (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * * * [misc]progress:  [ 50 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt 1))
* * * * [misc]progress:  [ 51 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (/ (sqrt (- 1 x)) 1) (sqrt (+ 1 x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) 1)
* * * * [misc]progress:  [ 52 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt 1) (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * * * [misc]progress:  [ 53 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ 1 (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))
* * * * [misc]progress:  [ 54 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow x 3)))) (sqrt (+ (sqr 1) (- (sqr x) (* 1 x))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow x 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (cube x))))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (cube x))))
* * * * [misc]progress:  [ 55 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (* (/ (sqrt (- 1 x)) (sqrt (- (sqr 1) (sqr x)))) (sqrt (- 1 x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (- (sqr 1) (sqr x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x))))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x))))
* * * * [misc]progress:  [ 56 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- (pow 1 3) (pow x 3))) (* (sqrt (+ 1 x)) (sqrt (+ (sqr 1) (+ (sqr x) (* 1 x)))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ 1 x)) (sqrt (+ (sqr 1) (+ (sqr x) (* 1 x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (+ 1 x) (* x x))) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (* (sqrt (+ (+ 1 x) (* x x))) (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 57 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- (sqr 1) (sqr x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [exit]simplify:  Simplified to (+ 1 x)
* * * * [misc]progress:  [ 58 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (pow (+ 1 x) 1/2)))))))>
* * * * [misc]progress:  [ 59 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (pow (sqrt (+ 1 x)) 1)))))))>
* * * * [misc]progress:  [ 60 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (exp (log (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 61 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (log (exp (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 62 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (cube (cbrt (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 63 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (cbrt (cube (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* * * * [misc]progress:  [ 64 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (* (sqrt 1) (sqrt (+ 1 x)))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* * * * [misc]progress:  [ 65 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (/ (sqrt (- (pow 1 3) (pow x 3))) (sqrt (+ (sqr 1) (- (sqr x) (* 1 x)))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow 1 3) (pow x 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cube x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cube x)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr 1) (- (sqr x) (* 1 x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) (- x 1)))
* [exit]simplify:  Simplified to (sqrt (- (* x x) (- x 1)))
* * * * [misc]progress:  [ 66 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (/ (sqrt (- (sqr 1) (sqr x))) (sqrt (- 1 x)))))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr 1) (sqr x)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* x x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (* x x)))
* [enter]simplify:  Simplifying (sqrt (- 1 x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* [exit]simplify:  Simplified to (sqrt (- 1 x))
* * * * [misc]progress:  [ 67 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqr (sqrt (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 68 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (fabs (sqrt (+ 1 x)))))))))>
* * * * [misc]progress:  [ 69 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (* 1 (sqrt (+ 1 x)))))))))>
* * * * [misc]progress:  [ 70 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (pow (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) 1)))>
* * * * [misc]progress:  [ 71 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (exp (log (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (log (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 72 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (log (exp (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (exp (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 73 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cube (cbrt (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cbrt (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 74 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (cbrt (cube (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (cube (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (cube (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (cube (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 75 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (sqr (sqrt (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))))>
* [enter]simplify:  Simplifying (sqrt (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* [exit]simplify:  Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * * * [misc]progress:  [ 76 / 76 ] simplifiying candidate #<alt-delta (λ (x) (* 2 (* 1 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 2
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 1 x)) (/ x (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr x)) (+ (* -2 x) 1)) into (- (+ (* 2 (sqr x)) 1) (* 2 x))
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1 1)))) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 x))) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ -1 -1) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (+ (* -2 (sqr (/ 1 (- x)))) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr x)) (+ (* -1 x) 1)) into (- (+ (sqr x) 1) x)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ 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)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* -1 (sqr (/ 1 x))) (* 1 (/ 1 x)))) into (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- (+ (* -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 (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* -1 (sqr (/ 1 (- x)))) (* -1 (/ 1 (- x))))) into (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))) into (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x)))))
* [misc]approximate:  Taking taylor expansion of (/ x (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (/ x (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (- (/ 0 1) (+ (* 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 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow x 3)) (+ (* -1 (sqr x)) (* 1 x))) into (- (+ (pow x 3) x) (sqr x))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 x) (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (/ 1 x))) (+ (* -1 (/ 1 x)) 1)) into (- (+ (/ 1 (sqr x)) 1) (/ 1 x))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (- x)) (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 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) into 0
* [misc]backup-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 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (/ 1 (- x)))) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ (/ 1 (sqr x)) 1) (/ 1 x))
* * * [misc]progress:  tayloring alt 2 of 2
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr -1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (sqr x)) (+ (* -2 x) 1)) into (- (+ (* 2 (sqr x)) 1) (* 2 x))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 1))) into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr -1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqr x)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (sqr x)) 1) x)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (sqr x)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 x))) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 (- x)))) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))
* [misc]approximate:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x
* [misc]backup-simplify:  Simplify (atan (sqrt (sqr (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))
* * * [misc]progress:  simplifying alt 1 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x)))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2))
* * * [misc]progress:  simplifying alt 2 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2))
* * * [misc]progress:  simplifying alt 3 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (sqr x))) 1)))))
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (- (/ 2 x) (+ (/ (/ 2 x) x) 1)))) 2))
* * * [misc]progress:  simplifying alt 4 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (sqr x) 1) x) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (- 1 x) (* x x)) (/ x (+ x 1))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (+ (- 1 x) (* x x)) (/ x (+ x 1)))))))
* * * [misc]progress:  simplifying alt 5 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (+ (/ 1 (cube x)) (/ 1 x)) (+ (/ 1 (* x x)) (/ x (+ x 1)))))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (- (+ (/ 1 (cube x)) (/ 1 x)) (+ (/ 1 (* x x)) (/ x (+ x 1)))))) 2))
* * * [misc]progress:  simplifying alt 6 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (sqr x))) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (- (+ (/ 1 (cube x)) (/ 1 x)) (+ (/ 1 (* x x)) (/ x (+ x 1)))))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (- (+ (/ 1 (cube x)) (/ 1 x)) (+ (/ 1 (* x x)) (/ x (+ x 1)))))) 2))
* * * [misc]progress:  simplifying alt 7 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))))
* * * [misc]progress:  simplifying alt 8 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (* (+ 1 (/ 1 x)) x))))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (+ (/ x x) x))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ 1 (+ (/ x x) x)))))))
* * * [misc]progress:  simplifying alt 9 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* (- 1 (/ 1 x)) x))))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ (/ 1 (- 1 (/ 1 x))) x)))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ (/ 1 (- 1 (/ 1 x))) x))))))
* * * [misc]progress:  simplifying alt 10 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (pow x 3) x) (sqr x))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (- (/ 1 (+ x 1)) x) (- (cube x) (* x x))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (- (/ 1 (+ x 1)) x) (- (cube x) (* x x)))))))
* * * [misc]progress:  simplifying alt 11 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (/ 1 x) (/ 1 (+ x 1))) (+ (/ 1 (* x x)) 1)))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (+ (/ 1 x) (/ 1 (+ x 1))) (+ (/ 1 (* x x)) 1))))))
* * * [misc]progress:  simplifying alt 12 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (- (+ (/ 1 (sqr x)) 1) (/ 1 x))))))
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (- (+ (/ 1 x) (/ 1 (+ x 1))) (+ (/ 1 (* x x)) 1)))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (- (+ (/ 1 x) (/ 1 (+ x 1))) (+ (/ 1 (* x x)) 1))))))
* * * [misc]progress:  simplifying alt 13 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* 2 (sqr x)) 1) (* 2 x)))))
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (+ (- 1 (* x 2)) (* (* x x) 2)))) 2))
* * * [misc]progress:  simplifying alt 14 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 15 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 16 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* 1/2 (sqr x)) 1) x)))))
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (fabs (+ (* (* x x) 1/2) (- 1 x)))))
* [misc]none:  prog is (λ (x) (* 2 (atan (fabs (+ (* (* x x) 1/2) (- 1 x))))))
* * * [misc]progress:  simplifying alt 17 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 18 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 19 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x))))))))
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (* (atan (fabs (/ (sqrt (- 1 x)) (- (+ (* 1/2 x) 1) (* 1/8 (* x x)))))) 2)
* [misc]none:  prog is (λ (x) (* (atan (fabs (/ (sqrt (- 1 x)) (- (+ (* 1/2 x) 1) (* 1/8 (* x x)))))) 2))
* * * [misc]progress:  simplifying alt 20 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 21 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (sqr (/ (sqrt (- 1 x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))))
* [misc]none:  prog is (λ (x) +nan.0)
* * * [misc]progress:  simplifying alt 22 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2)
* [misc]none:  prog is (λ (x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))
* * * [misc]progress:  simplifying alt 23 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))
* * * [misc]progress:  simplifying alt 24 of 24
* [enter]simplify:  Simplifying (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))
* [misc]none:  prog is (λ (x) (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (/ 1 (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [exit]simplify:  Simplified to (/ 1 (+ 1 x))
* [enter]simplify:  Simplifying (/ x (+ 1 x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ x (+ x 1))
* [exit]simplify:  Simplified to (/ x (+ x 1))
* [enter]simplify:  Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))