* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (sqrt (/ (+ 1 (exp x)) 1)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (+ 1 (exp x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x))
* [misc]approximate:  Taking taylor expansion of (+ 1 (exp (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]approximate:  Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 30 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (252 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 30 ] simplifiying candidate #<alt-event (λ (x) (sqrt (+ 1 (exp (/ 1 x)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp (/ 1 x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp (/ 1 x))))
* * * * [misc]progress:  [ 3 / 30 ] simplifiying candidate #<alt-event (λ (x) (sqrt (+ 1 (exp (/ -1 x)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp (/ -1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (/ -1 x)) 1))
* * * * [misc]progress:  [ 4 / 30 ] simplifiying candidate #<alt-event (λ (x) (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* (* x 1/2) x) (+ x 2)) 1))
* * * * [misc]progress:  [ 5 / 30 ] simplifiying candidate #<alt-event (λ (x) (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ 1 (exp (/ 1 x))) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp (/ 1 x))) 1))
* * * * [misc]progress:  [ 6 / 30 ] simplifiying candidate #<alt-event (λ (x) (sqrt (/ (+ 1 (exp (/ -1 x))) 1)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ 1 (exp (/ -1 x))) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ -1 x)) 1) 1))
* * * * [misc]progress:  [ 7 / 30 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (+ 1 (exp x)) 1) 1/2))>
* * * * [misc]progress:  [ 8 / 30 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (/ (+ 1 (exp x)) 1)) 1))>
* * * * [misc]progress:  [ 9 / 30 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 10 / 30 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 11 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 12 / 30 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 13 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (cbrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 14 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 15 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt 1) (sqrt (/ (+ 1 (exp x)) 1))))>
* [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 (exp x)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 16 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (+ 1 (exp x))) (sqrt (/ 1 1))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 17 / 30 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (+ 1 (exp x))) (sqrt 1)))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 18 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 19 / 30 ] simplifiying candidate #<alt-delta (λ (x) (fabs (sqrt (/ (+ 1 (exp x)) 1))))>
* * * * [misc]progress:  [ 20 / 30 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (sqrt (/ (+ 1 (exp x)) 1))))>
* * * * [misc]progress:  [ 21 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (pow (+ 1 (exp x)) 1) 1)))>
* * * * [misc]progress:  [ 22 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (exp (log (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (log (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (+ 1 (exp x)))
* [exit]simplify:  Simplified to (log (+ 1 (exp x)))
* * * * [misc]progress:  [ 23 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (log (exp (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (exp (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* E (exp (exp x)))
* [exit]simplify:  Simplified to (* E (exp (exp x)))
* * * * [misc]progress:  [ 24 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))
* [enter]simplify:  Simplifying (cbrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (cbrt (+ 1 (exp x)))
* * * * [misc]progress:  [ 25 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (pow (+ (exp x) 1) 3)
* [exit]simplify:  Simplified to (pow (+ (exp x) 1) 3)
* * * * [misc]progress:  [ 26 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* * * * [misc]progress:  [ 27 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (/ (+ (pow 1 3) (pow (exp x) 3)) (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) 1)))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow (exp x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (+ 1 (pow (exp x) 3))
* [exit]simplify:  Simplified to (+ 1 (pow (exp x) 3))
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (+ (exp (+ x x)) (- 1 (exp x)))
* [exit]simplify:  Simplified to (+ (exp (+ x x)) (- 1 (exp x)))
* * * * [misc]progress:  [ 28 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (* 1 (+ 1 (exp x))) 1)))>
* * * * [misc]progress:  [ 29 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (/ (- (* 1 1) (* (exp x) (exp x))) (- 1 (exp x))) 1)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (exp x) (exp x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* [exit]simplify:  Simplified to (- 1 (exp (+ x x)))
* [exit]simplify:  Simplified to (- 1 (exp (+ x x)))
* [enter]simplify:  Simplifying (- 1 (exp x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (- 1 (exp x))
* [exit]simplify:  Simplified to (- 1 (exp x))
* * * * [misc]progress:  [ 30 / 30 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (+ (exp x) 1) 1)))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) into (sqrt 2)
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt 2)) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (sqrt (sqrt 2)))) into (* 1/2 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt 2)) (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (+ 1 (exp (/ 1 x))) 1/4) (pow (+ 1 (exp (/ 1 x))) 1/4)) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ 1 x))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (+ 1 (exp (/ -1 x))) 1/4) (pow (+ 1 (exp (/ -1 x))) 1/4)) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (+ 1 (exp (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (/ -1 x))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) into (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (* (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))) (sqrt (/ 1 (sqrt 2))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) x) (sqrt (sqrt 2)))) into (- (+ (sqrt (sqrt 2)) (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ 1 x))))) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (pow (+ 1 (exp (/ 1 x))) 1/4) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ 1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (+ 1 (exp (/ 1 x))) 1/4) into (pow (+ 1 (exp (/ 1 x))) 1/4)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) 1) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 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]backup-simplify:  Simplify (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (exp (/ -1 x))))) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (pow (+ 1 (exp (/ -1 x))) 1/4) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (/ -1 x))) 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (+ 1 (exp (/ -1 x))) 1/4) into (pow (+ 1 (exp (/ -1 x))) 1/4)
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 98 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (252 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 98 ] simplifiying candidate #<alt-event (λ (x) (sqrt (+ 1 (exp (/ 1 x)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp (/ 1 x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp (/ 1 x))))
* * * * [misc]progress:  [ 3 / 98 ] simplifiying candidate #<alt-event (λ (x) (sqrt (+ 1 (exp (/ -1 x)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp (/ -1 x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (/ -1 x)) 1))
* * * * [misc]progress:  [ 4 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (+ (/ (* 1/2 x) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2) 1/4)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 5 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp (/ 1 x)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (exp (/ 1 x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 6 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp (/ -1 x)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp (/ -1 x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ (exp (/ -1 x)) 1))))
* * * * [misc]progress:  [ 7 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2) 1/4)))) (sqrt (sqrt (/ (+ (exp x) 1) 1))))
* * * * [misc]progress:  [ 8 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (+ 1 (exp (/ 1 x))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (exp (/ 1 x))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp (/ 1 x))))))
* * * * [misc]progress:  [ 9 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (+ 1 (exp (/ -1 x))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (exp (/ -1 x))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ (exp x) 1) 1))) (sqrt (sqrt (+ (exp (/ -1 x)) 1))))
* * * * [misc]progress:  [ 10 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (- (+ (sqrt (sqrt 2)) (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (- (+ (sqrt (sqrt 2)) (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)) (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (341 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (- (+ (* (sqrt (/ (/ 1 2) (sqrt 2))) (* (+ 1/4 (* 1/8 x)) x)) (sqrt (sqrt 2))) (* (* (* x 3/32) x) (sqrt (/ 1 (pow (sqrt 2) 7))))))
* * * * [misc]progress:  [ 11 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp (/ 1 x))) 1/4)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp (/ 1 x))) 1/4))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (exp (/ 1 x)) 1) 1/4) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 12 / 98 ] simplifiying candidate #<alt-event (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp (/ -1 x))) 1/4)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ 1 (exp (/ -1 x))) 1/4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (+ (exp (/ -1 x)) 1) 1/4))
* * * * [misc]progress:  [ 13 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (/ (+ 1 (exp x)) 1)) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 14 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 15 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) 1/2))>
* [enter]simplify:  Simplifying (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)
* * * * [misc]progress:  [ 16 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 17 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 2))>
* * * * [misc]progress:  [ 18 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 19 / 98 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) 1))>
* * * * [misc]progress:  [ 20 / 98 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * * * [misc]progress:  [ 21 / 98 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 22 / 98 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 23 / 98 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 24 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))) (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 25 / 98 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 26 / 98 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)
* * * * [misc]progress:  [ 27 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 28 / 98 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* * * * [misc]progress:  [ 29 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 30 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * * * [misc]progress:  [ 31 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * * * [misc]progress:  [ 32 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 33 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 34 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 35 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (sqrt (/ 1 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 36 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 37 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 38 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 39 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 40 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 41 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) (* (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * * * [misc]progress:  [ 42 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))) (* (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))))
* * * * [misc]progress:  [ 43 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 44 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt 1)) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 45 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (+ 1 (exp x)))) (* (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ 1 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt 1)))
* * * * [misc]progress:  [ 46 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 47 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt 1) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 48 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 49 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 50 / 98 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (sqrt 1))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 51 / 98 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt 1))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (+ 1 (exp x)))))
* * * * [misc]progress:  [ 52 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 53 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (pow (/ (+ 1 (exp x)) 1) 1/2))))>
* * * * [misc]progress:  [ 54 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (pow (sqrt (/ (+ 1 (exp x)) 1)) 1))))>
* * * * [misc]progress:  [ 55 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (exp (log (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 56 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (log (exp (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 57 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 58 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (cbrt (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 59 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (cbrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 60 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 61 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (sqrt 1) (sqrt (/ (+ 1 (exp x)) 1))))))>
* [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 (exp x)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 62 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (sqrt (+ 1 (exp x))) (sqrt (/ 1 1))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 63 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (sqrt (+ 1 (exp x))) (sqrt 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 64 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 65 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (fabs (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 66 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (* 1 (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 67 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (pow (/ (+ 1 (exp x)) 1) 1/2)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 68 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (pow (sqrt (/ (+ 1 (exp x)) 1)) 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 69 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (exp (log (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (log (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 70 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (log (exp (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 71 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 72 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (cbrt (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 73 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))) (sqrt (cbrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (fabs (cbrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 74 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 75 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt 1) (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [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 (exp x)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 76 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt (+ 1 (exp x))) (sqrt (/ 1 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 77 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (sqrt (+ 1 (exp x))) (sqrt 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp 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)
* * * * [misc]progress:  [ 78 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 79 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (fabs (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 80 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* 1 (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 81 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (sqrt (/ (+ 1 (exp x)) 1)) 1/2)))>
* * * * [misc]progress:  [ 82 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (pow (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 1)))>
* * * * [misc]progress:  [ 83 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (exp (log (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (log (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 84 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (log (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (exp (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 85 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 86 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ 1 (exp x)) 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 87 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1))))) (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (/ (+ 1 (exp x)) 1))) (cbrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 88 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1))))) (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (/ (+ 1 (exp x)) 1)) (cbrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 89 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 90 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 91 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (/ 1 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (exp x))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (exp x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (exp x))))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 1 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* * * * [misc]progress:  [ 92 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 93 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt 1) (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [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 (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 94 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (/ (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt 1)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (exp x))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (exp x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (exp x))))
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* * * * [misc]progress:  [ 95 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * * * [misc]progress:  [ 96 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 97 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (fabs (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 98 / 98 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (* 1 (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (* x 1/2) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* x 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* x 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (sqrt 2)) x) into (* 1/2 (/ x (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 x) 1/2) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (sqrt 2)) (/ 1 (/ 1 x))) into (* 1/2 (/ x (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 1/2) into -1/2
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 1/2) into -1/2
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (sqrt 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) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ -1/2 (sqrt 2)) (/ 1 (/ 1 (- x)))) into (* 1/2 (/ x (sqrt 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* x x) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 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 x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 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 x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow x 2)) into (/ (pow x 2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) 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 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 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) 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 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 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 x)) 2)) into (/ (pow x 2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) 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 (- 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 (- 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) 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 (- 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 (- 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 (- x))) 2)) into (/ (pow x 2) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 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 x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]taylor:  Taking taylor expansion of (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 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 x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]backup-simplify:  Simplify (- 1/16) into -1/16
* [misc]backup-simplify:  Simplify (+ 1/4 -1/16) into 3/16
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) 3/16) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 3/16 (sqrt 2)) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 3/16)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 3/16))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 3/16 (sqrt 2)) (pow x 2)) into (* 3/16 (/ (pow x 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) 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 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 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]taylor:  Taking taylor expansion of (* (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sqrt 2)) 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 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 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]backup-simplify:  Simplify (- 1/16) into -1/16
* [misc]backup-simplify:  Simplify (+ 1/4 -1/16) into 3/16
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) 3/16) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 3/16 (sqrt 2)) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 3/16)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 3/16))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 3/16 (sqrt 2)) (pow (/ 1 (/ 1 x)) 2)) into (* 3/16 (/ (pow x 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) 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 (- 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 (- 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]taylor:  Taking taylor expansion of (* (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sqrt 2)) 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 (- 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 (- 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 (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (- 1/4 (/ 1/8 2)) in x
* [misc]taylor:  Taking taylor expansion of 1/4 in x
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1/8 2) in x
* [misc]taylor:  Taking taylor expansion of 1/8 in x
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1/8 2) into 1/16
* [misc]backup-simplify:  Simplify (- 1/16) into -1/16
* [misc]backup-simplify:  Simplify (+ 1/4 -1/16) into 3/16
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) 3/16) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 3/16 (sqrt 2)) into (/ 3/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 3/16)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)))) 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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 3/16))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/16 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3/16))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 3/16 (sqrt 2)) (pow (/ 1 (/ 1 (- x))) 2)) into (* 3/16 (/ (pow x 2) (sqrt 2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* x 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* x 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* x 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (sqrt 2)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt 2)) 0) into (* 1/2 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2)) into (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (/ 1 x) 1/2) (sqrt 2)) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (/ 1 x) 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (/ 1 x) 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (sqrt 2)) 0) into (* 1/2 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (sqrt 2)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (sqrt 2) (* (/ 1/2 (sqrt 2)) (/ 1 (/ 1 x)))) into (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (+ (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 1/2) into -1/2
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) 1/2) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 1/2 in x
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* -1 1/2) into -1/2
* [misc]backup-simplify:  Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt 2)) 0) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 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) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (sqrt 2)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ -1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (sqrt 2) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 1 (/ 1 (- x))))) into (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 3 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 4 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 5 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 6 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (pow x 2) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 7 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (/ 3/16 (/ (sqrt 2) (* x x))))
* * * * [misc]progress:  [ 8 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (/ 3/16 (/ (sqrt 2) (* x x))))
* * * * [misc]progress:  [ 9 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (pow x 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) (/ 3/16 (/ (sqrt 2) (* x x))))
* * * * [misc]progress:  [ 10 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 11 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 12 / 92 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 13 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (pow (/ (* x 1/2) (sqrt 2)) 1) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 14 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (exp (- (log (* x 1/2)) (log (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (log (* x 1/2)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (- (log (* 1/2 x)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (* 1/2 x)) (log (sqrt 2)))
* * * * [misc]progress:  [ 15 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (exp (log (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (log (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (log (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 16 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (log (exp (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (exp (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (exp (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 17 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cbrt (/ (* (* (* x 1/2) (* x 1/2)) (* x 1/2)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* (* (* x 1/2) (* x 1/2)) (* x 1/2)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 1/2 x) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (* 1/2 x) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 18 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (* (cbrt (/ (* x 1/2) (sqrt 2))) (cbrt (/ (* x 1/2) (sqrt 2)))) (cbrt (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* x 1/2) (sqrt 2))) (cbrt (/ (* x 1/2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* 1/2 x) (sqrt 2))) (cbrt (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* 1/2 x) (sqrt 2))) (cbrt (/ (* 1/2 x) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 19 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cbrt (* (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (pow (/ (* 1/2 x) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (* 1/2 x) (sqrt 2)) 3)
* * * * [misc]progress:  [ 20 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (sqrt (/ (* x 1/2) (sqrt 2))) (sqrt (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* 1/2 x) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 21 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (- (* x 1/2)) (- (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (* x 1/2))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* x (- 1/2))
* [exit]simplify:  Simplified to (* x (- 1/2))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 22 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (/ x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1/2 (cbrt (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ x (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ x (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ 1/2 (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1/2 (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 23 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (/ x (sqrt (sqrt 2))) (/ 1/2 (sqrt (sqrt 2)))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ 1/2 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1/2 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 24 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (/ x 1) (/ 1/2 (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [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)
* [enter]simplify:  Simplifying (/ 1/2 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1/2 (sqrt 2))
* * * * [misc]progress:  [ 25 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* 1 (/ (* x 1/2) (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 26 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (* x 1/2) (/ 1 (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 27 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ 1 (/ (sqrt 2) (* x 1/2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (* x 1/2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x 1/2))
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x 1/2))
* * * * [misc]progress:  [ 28 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (/ (* x 1/2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x 1/2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sqrt 2))) (/ 1/2 (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sqrt 2))) (/ 1/2 (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 29 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (/ (* x 1/2) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x 1/2) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (/ (* 1/2 x) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* 1/2 x) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 30 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (/ (* x 1/2) 1) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x 1/2) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* (/ x 1) 1/2)
* [exit]simplify:  Simplified to (* (/ x 1) 1/2)
* * * * [misc]progress:  [ 31 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ x (/ (sqrt 2) 1/2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) 1/2)
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) 1/2)
* [exit]simplify:  Simplified to (/ (sqrt 2) 1/2)
* * * * [misc]progress:  [ 32 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (pow (/ (* x x) (sqrt 2)) 1) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 33 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (exp (- (log (* x x)) (log (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (log (* x x)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (16 enodes)
* [exit]simplify:  Simplified to (- (+ (log x) (log x)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (+ (log x) (log x)) (log (sqrt 2)))
* * * * [misc]progress:  [ 34 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (exp (log (/ (* x x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (log (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (log (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 35 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (log (exp (/ (* x x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (exp (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (exp (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 36 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (/ (* (pow x 3) (pow x 3)) (+ (sqrt 2) (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (pow x 3) (pow x 3)) (+ (sqrt 2) (sqrt 2)))
* * * * [misc]progress:  [ 37 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (* (cbrt (/ (* x x) (sqrt 2))) (cbrt (/ (* x x) (sqrt 2)))) (cbrt (/ (* x x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* x x) (sqrt 2))) (cbrt (/ (* x x) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* x x) (sqrt 2))) (cbrt (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* x x) (sqrt 2))) (cbrt (/ (* x x) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 38 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cbrt (* (* (/ (* x x) (sqrt 2)) (/ (* x x) (sqrt 2))) (/ (* x x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (* (/ (* x x) (sqrt 2)) (/ (* x x) (sqrt 2))) (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sqrt 2)) 3)
* * * * [misc]progress:  [ 39 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (sqrt (/ (* x x) (sqrt 2))) (sqrt (/ (* x x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 40 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (- (* x x)) (- (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 41 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ x (cbrt (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ x (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ x (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ x (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ x (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 42 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ x (sqrt (sqrt 2))) (/ x (sqrt (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ x (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 43 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ x 1) (/ x (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [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)
* [enter]simplify:  Simplifying (/ x (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt 2))
* [exit]simplify:  Simplified to (/ x (sqrt 2))
* * * * [misc]progress:  [ 44 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* 1 (/ (* x x) (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 45 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (* x x) (/ 1 (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 46 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ 1 (/ (sqrt 2) (* x x))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (* x x))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* * * * [misc]progress:  [ 47 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (/ (* x x) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x x) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sqrt 2))) (/ x (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sqrt 2))) (/ x (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 48 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (/ (* x x) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 49 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (/ (* x x) 1) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (* x x) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* x (/ x 1))
* [exit]simplify:  Simplified to (* x (/ x 1))
* * * * [misc]progress:  [ 50 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ x (/ (sqrt 2) x)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) x)
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) x)
* [exit]simplify:  Simplified to (/ (sqrt 2) x)
* * * * [misc]progress:  [ 51 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (pow (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) 1)))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 52 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (pow (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) 1)))>
* * * * [misc]progress:  [ 53 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (- (log (* x x)) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (+ (- (log (* x x)) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (+ (log (- 1/4 (/ 1/8 2))) (- (+ (log x) (log x)) (log (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (- 1/4 (/ 1/8 2))) (- (+ (log x) (log x)) (log (sqrt 2))))
* * * * [misc]progress:  [ 54 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (log (/ (* x x) (sqrt 2))) (log (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (* x x) (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* * [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 (34 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (* x x) (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* [exit]simplify:  Simplified to (+ (log (/ (* x x) (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 55 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (log (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (log (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (log (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 56 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (log (exp (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (exp (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (exp (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 57 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (* (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (- 1/4 (/ 1/8 2)) (- 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (- 1/4 (/ 1/8 2)) (- 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (* (/ (* (pow x 3) (pow x 3)) (+ (sqrt 2) (sqrt 2))) (pow (- 1/4 (/ 1/8 2)) 3))
* [exit]simplify:  Simplified to (* (/ (* (pow x 3) (pow x 3)) (+ (sqrt 2) (sqrt 2))) (pow (- 1/4 (/ 1/8 2)) 3))
* * * * [misc]progress:  [ 58 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (* (* (* (/ (* x x) (sqrt 2)) (/ (* x x) (sqrt 2))) (/ (* x x) (sqrt 2))) (* (* (- 1/4 (/ 1/8 2)) (- 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (* x x) (sqrt 2)) (/ (* x x) (sqrt 2))) (/ (* x x) (sqrt 2))) (* (* (- 1/4 (/ 1/8 2)) (- 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (* x x) (sqrt 2)) 3) (pow (- 1/4 (/ 1/8 2)) 3))
* [exit]simplify:  Simplified to (* (pow (/ (* x x) (sqrt 2)) 3) (pow (- 1/4 (/ 1/8 2)) 3))
* * * * [misc]progress:  [ 59 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))) (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 60 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (* (* (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (pow (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))) 3)
* * * * [misc]progress:  [ 61 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (sqrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))) (sqrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 62 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (* x x) (- (pow 1/4 3) (pow (/ 1/8 2) 3))) (* (sqrt 2) (+ (* 1/4 1/4) (+ (* (/ 1/8 2) (/ 1/8 2)) (* 1/4 (/ 1/8 2))))))))>
* [enter]simplify:  Simplifying (* (* x x) (- (pow 1/4 3) (pow (/ 1/8 2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (* (- (pow 1/4 3) (pow (/ 1/8 2) 3)) (* x x))
* [exit]simplify:  Simplified to (* (- (pow 1/4 3) (pow (/ 1/8 2) 3)) (* x x))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (* 1/4 1/4) (+ (* (/ 1/8 2) (/ 1/8 2)) (* 1/4 (/ 1/8 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (+ (* (* 1/4 1/4) (sqrt 2)) (* (+ 1/4 (/ 1/8 2)) (* (/ 1/8 2) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (* (* 1/4 1/4) (sqrt 2)) (* (+ 1/4 (/ 1/8 2)) (* (/ 1/8 2) (sqrt 2))))
* * * * [misc]progress:  [ 63 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (* x x) (- (* 1/4 1/4) (* (/ 1/8 2) (/ 1/8 2)))) (* (sqrt 2) (+ 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (* x x) (- (* 1/4 1/4) (* (/ 1/8 2) (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ 1/4 (/ 1/8 2)) (* (- 1/4 (/ 1/8 2)) (* x x)))
* [exit]simplify:  Simplified to (* (+ 1/4 (/ 1/8 2)) (* (- 1/4 (/ 1/8 2)) (* x x)))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 1/8 2) 1/4) (sqrt 2))
* [exit]simplify:  Simplified to (* (+ (/ 1/8 2) 1/4) (sqrt 2))
* * * * [misc]progress:  [ 64 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 1 (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* * * * [misc]progress:  [ 65 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (* (/ (* x x) (sqrt 2)) 1/4) (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) 1/4)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (* (/ (* 1/4 x) (sqrt 2)) x)
* [exit]simplify:  Simplified to (* (/ (* 1/4 x) (sqrt 2)) x)
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (* (/ x 2) (- 1/8)))
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (* (/ x 2) (- 1/8)))
* * * * [misc]progress:  [ 66 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (* 1/4 (/ (* x x) (sqrt 2))) (* (- (/ 1/8 2)) (/ (* x x) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (* x 1/4) (/ x (sqrt 2)))
* [exit]simplify:  Simplified to (* (* x 1/4) (/ x (sqrt 2)))
* [enter]simplify:  Simplifying (* (- (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (/ (- x) (/ 2 1/8)))
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (/ (- x) (/ 2 1/8)))
* * * * [misc]progress:  [ 67 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ (* x x) (sqrt 2)) (* (cbrt (- 1/4 (/ 1/8 2))) (cbrt (- 1/4 (/ 1/8 2))))) (cbrt (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (* (cbrt (- 1/4 (/ 1/8 2))) (cbrt (- 1/4 (/ 1/8 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (- 1/4 (/ 1/8 2))) (* x x)) (/ (sqrt 2) (cbrt (- 1/4 (/ 1/8 2)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (- 1/4 (/ 1/8 2))) (* x x)) (/ (sqrt 2) (cbrt (- 1/4 (/ 1/8 2)))))
* * * * [misc]progress:  [ 68 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ (* x x) (sqrt 2)) (sqrt (- 1/4 (/ 1/8 2)))) (sqrt (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (sqrt (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1/4 (/ 1/8 2))) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (sqrt (- 1/4 (/ 1/8 2))) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 69 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ (* x x) (sqrt 2)) 1) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* * * * [misc]progress:  [ 70 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (cbrt (/ (* x x) (sqrt 2))) (cbrt (/ (* x x) (sqrt 2)))) (* (cbrt (/ (* x x) (sqrt 2))) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* x x) (sqrt 2))) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (cbrt (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (cbrt (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 71 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (sqrt (/ (* x x) (sqrt 2))) (* (sqrt (/ (* x x) (sqrt 2))) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (* x x) (sqrt 2))) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (sqrt (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (sqrt (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 72 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ x (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ x (cbrt (sqrt 2))) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ x (cbrt (sqrt 2))) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (/ x (/ (cbrt (sqrt 2)) (- 1/4 (/ 1/8 2))))
* [exit]simplify:  Simplified to (/ x (/ (cbrt (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 73 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ x (sqrt (sqrt 2))) (* (/ x (sqrt (sqrt 2))) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ x (sqrt (sqrt 2))) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (/ x (/ (sqrt (sqrt 2)) (- 1/4 (/ 1/8 2))))
* [exit]simplify:  Simplified to (/ x (/ (sqrt (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 74 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ x 1) (* (/ x (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ x (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (- 1/4 (/ 1/8 2)))
* [exit]simplify:  Simplified to (* (/ x (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * * * [misc]progress:  [ 75 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 1 (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 76 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* x x) (* (/ 1 (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (/ (- 1/4 (/ 1/8 2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (- 1/4 (/ 1/8 2)) (sqrt 2))
* * * * [misc]progress:  [ 77 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (/ (* x x) (sqrt 2)) (- (pow 1/4 3) (pow (/ 1/8 2) 3))) (+ (* 1/4 1/4) (+ (* (/ 1/8 2) (/ 1/8 2)) (* 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- (pow 1/4 3) (pow (/ 1/8 2) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (* (- (pow 1/4 3) (pow (/ 1/8 2) 3)) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- (pow 1/4 3) (pow (/ 1/8 2) 3)) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 78 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (/ (* x x) (sqrt 2)) (- (* 1/4 1/4) (* (/ 1/8 2) (/ 1/8 2)))) (+ 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- (* 1/4 1/4) (* (/ 1/8 2) (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (* (* (/ (* x x) (sqrt 2)) (+ 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2)))
* [exit]simplify:  Simplified to (* (* (/ (* x x) (sqrt 2)) (+ 1/4 (/ 1/8 2))) (- 1/4 (/ 1/8 2)))
* * * * [misc]progress:  [ 79 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (* x x) (- 1/4 (/ 1/8 2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* x x) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (* x x))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (* x x))
* * * * [misc]progress:  [ 80 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))))>
* * * * [misc]progress:  [ 81 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (log (* (exp (/ (* x 1/2) (sqrt 2))) (exp (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (exp (/ (* x 1/2) (sqrt 2))) (exp (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 82 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (pow (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) 1) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 83 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (exp (log (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (log (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (log (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (log (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 84 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (log (exp (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (exp (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 85 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (* (* (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))) (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))) (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 86 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (cbrt (* (* (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (* (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (pow (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))) 3)
* * * * [misc]progress:  [ 87 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (* (sqrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (sqrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 88 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (/ (+ (pow (/ (* x 1/2) (sqrt 2)) 3) (pow (sqrt 2) 3)) (+ (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (- (* (sqrt 2) (sqrt 2)) (* (/ (* x 1/2) (sqrt 2)) (sqrt 2))))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (pow (/ (* x 1/2) (sqrt 2)) 3) (pow (sqrt 2) 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (409 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (sqrt 2)) (pow (/ (* 1/2 x) (sqrt 2)) 3))
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (sqrt 2)) (pow (/ (* 1/2 x) (sqrt 2)) 3))
* [enter]simplify:  Simplifying (+ (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (- (* (sqrt 2) (sqrt 2)) (* (/ (* x 1/2) (sqrt 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (+ (- 2 (* (* 1 x) 1/2)) (* (/ (* 1/2 x) (sqrt 2)) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (- 2 (* (* 1 x) 1/2)) (* (/ (* 1/2 x) (sqrt 2)) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 89 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (* 1 (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 90 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (/ (- (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (* (sqrt 2) (sqrt 2))) (- (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (* (/ (* x 1/2) (sqrt 2)) (/ (* x 1/2) (sqrt 2))) (* (sqrt 2) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (- (* (/ (* 1/2 x) (sqrt 2)) (/ (* 1/2 x) (sqrt 2))) 2)
* [exit]simplify:  Simplified to (- (* (/ (* 1/2 x) (sqrt 2)) (/ (* 1/2 x) (sqrt 2))) 2)
* [enter]simplify:  Simplifying (- (/ (* x 1/2) (sqrt 2)) (sqrt 2))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (- (/ (* 1/2 x) (sqrt 2)) (sqrt 2))
* [exit]simplify:  Simplified to (- (/ (* 1/2 x) (sqrt 2)) (sqrt 2))
* * * * [misc]progress:  [ 91 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (* 1 (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 92 / 92 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (sqrt 2) (/ (* x 1/2) (sqrt 2))) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))> #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))> #<alt-delta (λ (x) (sqrt (/ (+ 1 (exp x)) 1)))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#<alt-delta (λ (x) (sqrt (/ (+ 1 (exp x)) 1)))>)
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [enter]simplify:  Simplifying (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2)))
* [enter]simplify:  Simplifying (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* [enter]simplify:  Simplifying (/ (+ 1 (exp x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)
* [exit]simplify:  Simplified to (/ (+ 1 (exp x)) 1)