* [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 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (49 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 (sqr (/ 1/2 (sqrt 2))) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqr x)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (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 (sqr 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)))) 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 (sqr 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)))) 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 (sqr 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 (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 (sqr 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)))) 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 (sqr 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)))) 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 (sqr 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 (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 (sqr x)) (+ (* 1 x) 2)) into (+ (* 1/2 (sqr x)) (+ 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 / 28 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 28 ] 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 / 28 ] 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 / 28 ] simplifiying candidate #<alt-event (λ (x) (sqrt (/ (+ (* 1/2 (sqr x)) (+ 2 x)) 1)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* 1/2 (sqr x)) (+ 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 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ x 2) (* 1/2 (sqr x))) 1))
* * * * [misc]progress:  [ 5 / 28 ] 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 / 28 ] 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 / 28 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (+ 1 (exp x)) 1) 1/2))>
* * * * [misc]progress:  [ 8 / 28 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (/ (+ 1 (exp x)) 1)) 1))>
* * * * [misc]progress:  [ 9 / 28 ] 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 / 28 ] 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 / 28 ] simplifiying candidate #<alt-delta (λ (x) (cube (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 / 28 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (cube (sqrt (/ (+ 1 (exp x)) 1)))))>
* [enter]simplify:  Simplifying (cube (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 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 / 28 ] 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:  [ 14 / 28 ] 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:  [ 15 / 28 ] 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:  [ 16 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 17 / 28 ] simplifiying candidate #<alt-delta (λ (x) (fabs (sqrt (/ (+ 1 (exp x)) 1))))>
* * * * [misc]progress:  [ 18 / 28 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (sqrt (/ (+ 1 (exp x)) 1))))>
* * * * [misc]progress:  [ 19 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (pow (+ 1 (exp x)) 1) 1)))>
* * * * [misc]progress:  [ 20 / 28 ] 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:  [ 21 / 28 ] 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:  [ 22 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (cube (cbrt (+ 1 (exp x)))) 1)))>
* [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:  [ 23 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (cbrt (cube (+ 1 (exp x)))) 1)))>
* [enter]simplify:  Simplifying (cube (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (cube (+ 1 (exp x)))
* [exit]simplify:  Simplified to (cube (+ 1 (exp x)))
* * * * [misc]progress:  [ 24 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (sqr (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)))
* * * * [misc]progress:  [ 25 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (/ (+ (pow 1 3) (pow (exp x) 3)) (+ (sqr 1) (- (sqr (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 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (+ 1 (cube (exp x)))
* [exit]simplify:  Simplified to (+ 1 (cube (exp x)))
* [enter]simplify:  Simplifying (+ (sqr 1) (- (sqr (exp x)) (* 1 (exp x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (+ (* (exp x) (exp x)) (- 1 (exp x)))
* [exit]simplify:  Simplified to (+ (* (exp x) (exp x)) (- 1 (exp x)))
* * * * [misc]progress:  [ 26 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (* 1 (+ 1 (exp x))) 1)))>
* * * * [misc]progress:  [ 27 / 28 ] simplifiying candidate #<alt-delta (λ (x) (sqrt (/ (/ (- (sqr 1) (sqr (exp x))) (- 1 (exp x))) 1)))>
* [enter]simplify:  Simplifying (- (sqr 1) (sqr (exp x)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (27 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:  [ 28 / 28 ] 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) (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (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 (sqr (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]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 (sqr (/ 1/2 (sqrt 2))) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqr (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (+)) (* 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)))) (sqr x)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqr (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (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 (sqr (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]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 (sqr 0) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 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 (sqr (sqrt (sqrt (/ (+ 1 (exp (/ 1 (- x)))) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (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 (sqr (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]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 (sqr 0) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 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 / 3 ] 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 (sqr (/ 1/2 (sqrt 2))) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqr x)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (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 (sqr 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)))) 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 (sqr 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)))) 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 (sqr 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 (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 (sqr 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)))) 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 (sqr 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)))) 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 (sqr 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 (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1 1 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 (sqr x)) (+ (* 1 x) 2)) into (+ (* 1/2 (sqr x)) (+ 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 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 45 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 45 ] 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 / 45 ] 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 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (- (+ (* 1/2 (/ x (sqrt 2))) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (sqrt 2))) (* 1/8 (/ (sqr x) (pow (sqrt 2) 3))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- (/ 1/8 2) 1/4)))
* * * * [misc]progress:  [ 5 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (sqrt (+ 1 (exp (/ 1 x)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ 1 (exp (/ 1 x))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp (/ 1 x))))
* * * * [misc]progress:  [ 6 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (sqrt (+ 1 (exp (/ -1 x)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ 1 (exp (/ -1 x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (/ -1 x)) 1))
* * * * [misc]progress:  [ 7 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (sqrt (/ (+ (* 1/2 (sqr x)) (+ 2 x)) 1)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ (* 1/2 (sqr x)) (+ 2 x)) 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ x 2) (* 1/2 (sqr x))) 1))
* * * * [misc]progress:  [ 8 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ 1 (exp (/ 1 x))) 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp (/ 1 x))) 1))
* * * * [misc]progress:  [ 9 / 45 ] simplifiying candidate #<alt-event (λ (x) (sqr (sqrt (sqrt (/ (+ 1 (exp (/ -1 x))) 1)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ 1 (exp (/ -1 x))) 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (exp (/ -1 x)) 1) 1))
* * * * [misc]progress:  [ 10 / 45 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqrt (sqrt (/ (+ 1 (exp x)) 1))) 2))>
* * * * [misc]progress:  [ 11 / 45 ] simplifiying candidate #<alt-delta (λ (x) (pow (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))) 1))>
* * * * [misc]progress:  [ 12 / 45 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (log (sqr (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)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (log (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 13 / 45 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (exp (sqr (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 (exp (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 14 / 45 ] simplifiying candidate #<alt-delta (λ (x) (cube (cbrt (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (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 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 15 / 45 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (cube (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (cube (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (62 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:  [ 16 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (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 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 17 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* (sqr (sqrt (sqrt 1))) (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 18 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* (sqr (sqrt (sqrt (+ 1 (exp x))))) (sqr (sqrt (sqrt (/ 1 1))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ 1 (exp x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ 1 1))))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* * * * [misc]progress:  [ 19 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* (sqr (sqrt 1)) (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (sqr (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 20 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* (sqr 1) (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* 1 1)
* [exit]simplify:  Simplified to (* 1 1)
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* [exit]simplify:  Simplified to (sqrt (/ (+ 1 (exp x)) 1))
* * * * [misc]progress:  [ 21 / 45 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqr (sqrt (sqrt (+ 1 (exp x))))) (sqr (sqrt (sqrt 1)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt (+ 1 (exp x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (exp x)))
* [enter]simplify:  Simplifying (sqr (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* * * * [misc]progress:  [ 22 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (sqrt (/ (+ 1 (exp x)) 1))) (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))>
* * * * [misc]progress:  [ 23 / 45 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 24 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (pow (/ (+ 1 (exp x)) 1) 1/2))))>
* * * * [misc]progress:  [ 25 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (pow (sqrt (/ (+ 1 (exp x)) 1)) 1))))>
* * * * [misc]progress:  [ 26 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 27 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 28 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (cube (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:  [ 29 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (cbrt (cube (sqrt (/ (+ 1 (exp x)) 1)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (/ (+ 1 (exp x)) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* [exit]simplify:  Simplified to (* (/ (+ 1 (exp x)) 1) (sqrt (/ (+ 1 (exp x)) 1)))
* * * * [misc]progress:  [ 30 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 31 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 32 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (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:  [ 33 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqr (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:  [ 34 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (fabs (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 35 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (* 1 (sqrt (/ (+ 1 (exp x)) 1))))))>
* * * * [misc]progress:  [ 36 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (pow (+ 1 (exp x)) 1) 1)))))>
* * * * [misc]progress:  [ 37 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (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:  [ 38 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (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:  [ 39 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (cube (cbrt (+ 1 (exp x)))) 1)))))>
* [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:  [ 40 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (cbrt (cube (+ 1 (exp x)))) 1)))))>
* [enter]simplify:  Simplifying (cube (+ 1 (exp x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (cube (+ 1 (exp x)))
* [exit]simplify:  Simplified to (cube (+ 1 (exp x)))
* * * * [misc]progress:  [ 41 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (sqr (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)))
* * * * [misc]progress:  [ 42 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (/ (+ (pow 1 3) (pow (exp x) 3)) (+ (sqr 1) (- (sqr (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 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (+ 1 (cube (exp x)))
* [exit]simplify:  Simplified to (+ 1 (cube (exp x)))
* [enter]simplify:  Simplifying (+ (sqr 1) (- (sqr (exp x)) (* 1 (exp x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (+ (* (exp x) (exp x)) (- 1 (exp x)))
* [exit]simplify:  Simplified to (+ (* (exp x) (exp x)) (- 1 (exp x)))
* * * * [misc]progress:  [ 43 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (* 1 (+ 1 (exp x))) 1)))))>
* * * * [misc]progress:  [ 44 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (/ (- (sqr 1) (sqr (exp x))) (- 1 (exp x))) 1)))))>
* [enter]simplify:  Simplifying (- (sqr 1) (sqr (exp x)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (27 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:  [ 45 / 45 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (sqrt (/ (+ (exp x) 1) 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)) (* (/ (sqr 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 (sqr 0) (+)) (* 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 (sqr 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))))) 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 (sqr 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))))) 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 (sqr 0) (+)) (* 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 (sqr 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))))) 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 (sqr 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))))) 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 (sqr 0) (+)) (* 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 (sqr 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))))) 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 (sqr 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))))) 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 (/ (sqr x) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (/ (sqr x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (sqr 0) (+)) (* 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 (sqr 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))))) 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 (sqr 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (sqr x)) into (/ (sqr x) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (/ 1 x)) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 x)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (/ (sqr (/ 1 x)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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) (* 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) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 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) (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (sqr (/ 1 (/ 1 x)))) into (/ (sqr x) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (sqr (/ 1 (- x))) (sqrt 2)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 (- x))) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (/ (sqr (/ 1 (- x))) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (+ (* -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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 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 (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (sqr (/ 1 (/ 1 (- x))))) into (/ (sqr x) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr x) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (sqr 0) (+)) (* 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 (sqr 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))))) 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 (sqr 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))) (* 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)) (sqr x)) into (* 3/16 (/ (sqr x) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqr (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 x)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (* (/ (sqr (/ 1 x)) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 x)) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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) (* 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) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 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) (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) 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) (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))) (* 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)) (sqr (/ 1 (/ 1 x)))) into (* 3/16 (/ (sqr x) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqr (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 (- x))) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (* (/ (sqr (/ 1 (- x))) (sqrt 2)) (- 1/4 (/ 1/8 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqr (/ 1 (- x))) (sqrt 2)) in x
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (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 (+ (* -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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 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 (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) 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 (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))) (* 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)) (sqr (/ 1 (/ 1 (- x))))) into (* 3/16 (/ (sqr x) (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 (sqr 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 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 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 (sqr 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 1/2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) 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 (sqr 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 0) (* 0 1/2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) 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 (sqr 0) (+)) (* 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 (sqr 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)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) 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 (sqr 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)))) 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 (sqr 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))))) 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 (sqr 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 (+ (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 (sqr 0) (+)) (* 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 (sqr 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 (- (+ (* -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 (sqr 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))))) 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 (sqr 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 (- (+ (* -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 (sqr 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))))) 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 (sqr 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 (+ (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 2 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 3 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 4 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (sqrt 2)))))>
* [enter]simplify:  Simplifying (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 3/16 (/ (sqr x) (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 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 11 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 12 / 89 ] simplifiying candidate #<alt-event (λ (x) (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (+ (+ (* 1/2 (/ x (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (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 (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 13 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (pow (/ (* x 1/2) (sqrt 2)) 1) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 14 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (exp (- (log (* x 1/2)) (log (sqrt 2)))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (exp (log (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (log (exp (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cbrt (/ (cube (* x 1/2)) (cube (sqrt 2)))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (cube (* x 1/2)) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (cube (* 1/2 x)) (+ (sqrt 2) (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cube (* 1/2 x)) (+ (sqrt 2) (sqrt 2)))
* * * * [misc]progress:  [ 18 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cube (cbrt (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cbrt (cube (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (cube (/ (* x 1/2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (cube (/ (* 1/2 x) (sqrt 2)))
* [exit]simplify:  Simplified to (cube (/ (* 1/2 x) (sqrt 2)))
* * * * [misc]progress:  [ 20 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (cube (/ (cbrt (* x 1/2)) (cbrt (sqrt 2)))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* x 1/2)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* 1/2 x)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (* 1/2 x)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 21 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (sqr (sqrt (/ (* x 1/2) (sqrt 2)))) (sqrt 2)) (* (/ (sqr 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)))
* * * * [misc]progress:  [ 22 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (sqr (/ (sqrt (* x 1/2)) (sqrt (sqrt 2)))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* x 1/2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* 1/2 x)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (* 1/2 x)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 23 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (- (* x 1/2)) (- (sqrt 2))) (sqrt 2)) (* (/ (sqr 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:  [ 24 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (/ x 1) (/ 1/2 (sqrt 2))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* 1 (/ (* x 1/2) (sqrt 2))) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 26 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (* (* x 1/2) (/ 1 (sqrt 2))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ 1 (/ (sqrt 2) (* x 1/2))) (sqrt 2)) (* (/ (sqr 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (/ (* x 1/2) 1) (sqrt 2)) (sqrt 2)) (* (/ (sqr 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:  [ 29 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ x (/ (sqrt 2) 1/2)) (sqrt 2)) (* (/ (sqr 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:  [ 30 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (pow (/ (sqr x) (sqrt 2)) 1) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 31 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (exp (- (log (sqr x)) (log (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (log (sqr x)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 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:  [ 32 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (exp (log (/ (sqr x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (log (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (log (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 33 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (log (exp (/ (sqr x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (exp (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (exp (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 34 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cbrt (/ (cube (sqr x)) (cube (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (cube (sqr x)) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (* (cube x) (cube x)) (* 2 (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (cube x) (cube x)) (* 2 (sqrt 2)))
* * * * [misc]progress:  [ 35 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cube (cbrt (/ (sqr x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 36 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cbrt (cube (/ (sqr x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (cube (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (cube (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (cube (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 37 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (cube (/ (cbrt (sqr x)) (cbrt (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqr x)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* x x)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (* x x)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 38 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (sqr (sqrt (/ (sqr x) (sqrt 2)))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 39 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (sqr (/ 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)))
* * * * [misc]progress:  [ 40 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (- (sqr x)) (- (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (sqr x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 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 / 89 ] 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:  [ 42 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ 1 1) (/ (sqr x) (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sqr x) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* * * * [misc]progress:  [ 43 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* 1 (/ (sqr x) (sqrt 2))) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 44 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (sqr 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:  [ 45 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ 1 (/ (sqrt 2) (sqr x))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqr x))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* * * * [misc]progress:  [ 46 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (/ (sqr x) 1) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqr x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ x (/ 1 x))
* [exit]simplify:  Simplified to (/ x (/ 1 x))
* * * * [misc]progress:  [ 47 / 89 ] 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:  [ 48 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ 1 (/ (sqrt 2) (sqr x))) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqr x))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* [exit]simplify:  Simplified to (/ (sqrt 2) (* x x))
* * * * [misc]progress:  [ 49 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (pow (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))) 1)))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 50 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (pow (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))) 1)))>
* * * * [misc]progress:  [ 51 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (- (log (sqr x)) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (+ (- (log (sqr x)) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (39 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:  [ 52 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (log (/ (sqr x) (sqrt 2))) (log (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqr x) (sqrt 2))) (log (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (50 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:  [ 53 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (log (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (log (* (/ (sqr 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 (30 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (83 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:  [ 54 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (log (exp (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (exp (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (48 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:  [ 55 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (* (/ (cube (sqr x)) (cube (sqrt 2))) (cube (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ (cube (sqr x)) (cube (sqrt 2))) (cube (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* [exit]simplify:  Simplified to (* (cube (- 1/4 (/ 1/8 2))) (* (/ (cube x) 2) (/ (cube x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cube (- 1/4 (/ 1/8 2))) (* (/ (cube x) 2) (/ (cube x) (sqrt 2))))
* * * * [misc]progress:  [ 56 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (* (cube (/ (sqr x) (sqrt 2))) (cube (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (cube (/ (sqr x) (sqrt 2))) (cube (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (336 enodes)
* [exit]simplify:  Simplified to (* (cube (- 1/4 (/ 1/8 2))) (cube (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cube (- 1/4 (/ 1/8 2))) (cube (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 57 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cube (cbrt (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (cbrt (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 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 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 58 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cbrt (cube (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (cube (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (cube (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (cube (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 59 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cube (* (cbrt (/ (sqr x) (sqrt 2))) (cbrt (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqr x) (sqrt 2))) (cbrt (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1/4 (/ 1/8 2))) (cbrt (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (- 1/4 (/ 1/8 2))) (cbrt (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 60 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (cube (* (/ (cbrt (sqr x)) (cbrt (sqrt 2))) (cbrt (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (sqr x)) (cbrt (sqrt 2))) (cbrt (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1/4 (/ 1/8 2))) (/ (cbrt (* x x)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (- 1/4 (/ 1/8 2))) (/ (cbrt (* x x)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 61 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (sqr (sqrt (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (11 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 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (sqr (* (sqrt (/ (sqr x) (sqrt 2))) (sqrt (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqr x) (sqrt 2))) (sqrt (- 1/4 (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1/4 (/ 1/8 2))) (sqrt (/ (* x x) (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (- 1/4 (/ 1/8 2))) (sqrt (/ (* x x) (sqrt 2))))
* * * * [misc]progress:  [ 63 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (sqr (* (/ x (sqrt (sqrt 2))) (sqrt (- 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ x (sqrt (sqrt 2))) (sqrt (- 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1/4 (/ 1/8 2))) (/ (sqrt (sqrt 2)) x))
* [exit]simplify:  Simplified to (/ (sqrt (- 1/4 (/ 1/8 2))) (/ (sqrt (sqrt 2)) x))
* * * * [misc]progress:  [ 64 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (sqr x) (- (pow 1/4 3) (pow (/ 1/8 2) 3))) (* (sqrt 2) (+ (sqr 1/4) (+ (sqr (/ 1/8 2)) (* 1/4 (/ 1/8 2))))))))>
* [enter]simplify:  Simplifying (* (sqr x) (- (pow 1/4 3) (pow (/ 1/8 2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (* (- (cube 1/4) (cube (/ 1/8 2))) (* x x))
* [exit]simplify:  Simplified to (* (- (cube 1/4) (cube (/ 1/8 2))) (* x x))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (sqr 1/4) (+ (sqr (/ 1/8 2)) (* 1/4 (/ 1/8 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (+ (* (+ 1/4 (/ 1/8 2)) (/ (sqrt 2) (/ 2 1/8))) (* (* 1/4 1/4) (sqrt 2)))
* [exit]simplify:  Simplified to (+ (* (+ 1/4 (/ 1/8 2)) (/ (sqrt 2) (/ 2 1/8))) (* (* 1/4 1/4) (sqrt 2)))
* * * * [misc]progress:  [ 65 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (sqr x) (- (sqr 1/4) (sqr (/ 1/8 2)))) (* (sqrt 2) (+ 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (sqr x) (- (sqr 1/4) (sqr (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (* (* (- 1/4 (/ 1/8 2)) (* x x)) (+ 1/4 (/ 1/8 2)))
* [exit]simplify:  Simplified to (* (* (- 1/4 (/ 1/8 2)) (* x x)) (+ 1/4 (/ 1/8 2)))
* [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:  [ 66 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 1 (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* * * * [misc]progress:  [ 67 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (* (/ (sqr x) (sqrt 2)) 1/4) (* (/ (sqr x) (sqrt 2)) (- (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) 1/4)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (* 1/4 x) (/ (sqrt 2) x))
* [exit]simplify:  Simplified to (/ (* 1/4 x) (/ (sqrt 2) x))
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1/8) 2) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (/ (- 1/8) 2) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 68 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (+ (* 1/4 (/ (sqr x) (sqrt 2))) (* (- (/ 1/8 2)) (/ (sqr x) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* 1/4 (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (* x 1/4) (sqrt 2)) x)
* [exit]simplify:  Simplified to (* (/ (* x 1/4) (sqrt 2)) x)
* [enter]simplify:  Simplifying (* (- (/ 1/8 2)) (/ (sqr x) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (- (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- (/ 1/8 2)) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 69 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (* (/ (sqr x) (sqrt 2)) 1) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt 2))
* * * * [misc]progress:  [ 70 / 89 ] 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:  [ 71 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ 1 1) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 72 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* 1 (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2))))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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:  [ 73 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (sqr 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 (30 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:  [ 74 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (/ (sqr x) (sqrt 2)) (- (pow 1/4 3) (pow (/ 1/8 2) 3))) (+ (sqr 1/4) (+ (sqr (/ 1/8 2)) (* 1/4 (/ 1/8 2)))))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- (pow 1/4 3) (pow (/ 1/8 2) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (- (cube 1/4) (cube (/ 1/8 2))) (/ (* x x) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- (cube 1/4) (cube (/ 1/8 2))) (/ (* x x) (sqrt 2)))
* * * * [misc]progress:  [ 75 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (/ (sqr x) (sqrt 2)) (- (sqr 1/4) (sqr (/ 1/8 2)))) (+ 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (* (/ (sqr x) (sqrt 2)) (- (sqr 1/4) (sqr (/ 1/8 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (364 enodes)
* [exit]simplify:  Simplified to (* (+ 1/4 (/ 1/8 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* [exit]simplify:  Simplified to (* (+ 1/4 (/ 1/8 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2))))
* * * * [misc]progress:  [ 76 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (/ (* (sqr x) (- 1/4 (/ 1/8 2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (sqr 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 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:  [ 77 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (sqr x) (sqrt 2)))))>
* * * * [misc]progress:  [ 78 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (log (* (exp (/ (* x 1/2) (sqrt 2))) (exp (sqrt 2)))) (* (/ (sqr 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:  [ 79 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (pow (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) 1) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 80 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (exp (log (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (sqr 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:  [ 81 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (log (exp (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (sqr 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:  [ 82 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (cube (cbrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 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:  [ 83 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (cbrt (cube (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (cube (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* [exit]simplify:  Simplified to (cube (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (cube (+ (sqrt 2) (/ (* 1/2 x) (sqrt 2))))
* * * * [misc]progress:  [ 84 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (sqr (sqrt (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)))) (* (/ (sqr 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))))
* * * * [misc]progress:  [ 85 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (/ (+ (pow (/ (* x 1/2) (sqrt 2)) 3) (pow (sqrt 2) 3)) (+ (sqr (/ (* x 1/2) (sqrt 2))) (- (sqr (sqrt 2)) (* (/ (* x 1/2) (sqrt 2)) (sqrt 2))))) (* (/ (sqr 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (sqrt 2)) (cube (/ (* 1/2 x) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (sqrt 2) (sqrt 2)) (cube (/ (* 1/2 x) (sqrt 2))))
* [enter]simplify:  Simplifying (+ (sqr (/ (* x 1/2) (sqrt 2))) (- (sqr (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 (95 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (+ (- 2 (* (/ 1/2 1) x)) (/ (* (* 1/2 x) (* 1/2 x)) 2))
* [exit]simplify:  Simplified to (+ (- 2 (* (/ 1/2 1) x)) (/ (* (* 1/2 x) (* 1/2 x)) 2))
* * * * [misc]progress:  [ 86 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (* 1 (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* * * * [misc]progress:  [ 87 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (/ (- (sqr (/ (* x 1/2) (sqrt 2))) (sqr (sqrt 2))) (- (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>
* [enter]simplify:  Simplifying (- (sqr (/ (* x 1/2) (sqrt 2))) (sqr (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 (59 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (- (/ (* (* 1/2 x) (* 1/2 x)) 2) 2)
* [exit]simplify:  Simplified to (- (/ (* (* 1/2 x) (* 1/2 x)) 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:  [ 88 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (* 1 (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2))) (* (/ (sqr 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:  [ 89 / 89 ] simplifiying candidate #<alt-delta (λ (x) (+ (+ (sqrt 2) (/ (* x 1/2) (sqrt 2))) (* (/ (sqr 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) (sqr (sqrt (sqrt (/ (+ 1 (exp x)) 1)))))> #<alt-delta (λ (x) (sqrt (/ (+ 1 (exp x)) 1)))> #<alt-delta (λ (x) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))))>)
* [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 (/ (+ 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)
* [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 (* (/ (sqr x) (sqrt 2)) (- 1/4 (/ 1/8 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (44 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)))