* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (sqr x)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 x))) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 (- x)))) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (sqr x)) (+ (* -1/2 x) 1)) into (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 2 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 3 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 4 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (- (+ 1 (* x 1/2)) (* (sqr x) 1/8))))
* * * * [misc]progress:  [ 5 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))
* * * * [misc]progress:  [ 6 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))
* * * * [misc]progress:  [ 7 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (+ (* (- 1/2 (* x 3/8)) x) (- (/ 1 (sqrt x)) 1))
* * * * [misc]progress:  [ 8 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 9 / 54 ] simplifiying candidate #<alt-event (λ (x) (- (/ 1 (sqrt x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 10 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* * * * [misc]progress:  [ 11 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (sqrt x) (- 1)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 12 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (sqrt x) -1) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 13 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (/ 1 (sqrt x)) 1) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 14 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (exp (- (log (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (log (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* * * * [misc]progress:  [ 15 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (exp (log (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* * * * [misc]progress:  [ 16 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (log (exp (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (exp (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 17 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (cube (cbrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 18 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (cbrt (cube (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* * * * [misc]progress:  [ 19 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (sqr (sqrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 20 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (- 1) (- (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (sqrt x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt x))
* [exit]simplify:  Simplified to (- (sqrt x))
* * * * [misc]progress:  [ 21 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (* 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 22 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (* 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* * * * [misc]progress:  [ 23 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (/ (sqrt x) 1)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ (sqrt x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt x) 1)
* [exit]simplify:  Simplified to (/ (sqrt x) 1)
* * * * [misc]progress:  [ 24 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1 1) (sqrt x)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 25 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (pow (+ x 1) 1/2))))>
* * * * [misc]progress:  [ 26 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (pow (sqrt (+ x 1)) 1))))>
* * * * [misc]progress:  [ 27 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (exp (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 28 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (log (exp (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 29 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (cube (cbrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 30 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (cbrt (cube (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* * * * [misc]progress:  [ 31 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt 1) (sqrt (+ 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 (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* * * * [misc]progress:  [ 32 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (sqr x) (- (sqr 1) (* x 1))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 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 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cube x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cube x)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr x) (- (sqr 1) (* x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* x x) (- 1 x)))
* [exit]simplify:  Simplified to (sqrt (+ (* x x) (- 1 x)))
* * * * [misc]progress:  [ 33 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (- (sqr x) (sqr 1))) (sqrt (- x 1))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr x) (sqr 1)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [enter]simplify:  Simplifying (sqrt (- x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [exit]simplify:  Simplified to (sqrt (- x 1))
* * * * [misc]progress:  [ 34 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (sqr (sqrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 35 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (fabs (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 36 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 37 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* * * * [misc]progress:  [ 38 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (sqrt (+ x 1)) (- 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 39 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (sqrt (+ x 1)) -1)))>
* * * * [misc]progress:  [ 40 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (/ 1 (sqrt (+ x 1))) 1)))>
* * * * [misc]progress:  [ 41 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (exp (- (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (- (log (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 42 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (exp (log (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (- (log (sqrt (+ x 1))))
* * * * [misc]progress:  [ 43 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (log (exp (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (exp (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 44 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (cube (cbrt (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 45 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (cbrt (cube (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* * * * [misc]progress:  [ 46 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (sqr (sqrt (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 47 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ (- 1) (- (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 48 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 49 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ x 1)))
* * * * [misc]progress:  [ 50 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (+ x 1)) 1))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ x 1)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) 1)
* * * * [misc]progress:  [ 51 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt 1)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* * * * [misc]progress:  [ 52 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 1) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 53 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (sqr x) (- (sqr 1) (* x 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (cube x) 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (cube x) 1)))
* * * * [misc]progress:  [ 54 / 54 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (- (sqr x) (sqr 1)))) (sqrt (- x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (sqr x) (sqr 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (sqr x) 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (sqr x) 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (sqrt (+ x 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (sqr x)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 x))) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (/ 1 (- x)))) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (sqr x)) (+ (* -1/2 x) 1)) into (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (/ 1 (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x))))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (/ 1 (- (+ 1 (* 1/2 x)) (* 1/8 (sqr x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (- (pow x (- 1/2)) (/ 1 (- (+ 1 (* 1/2 x)) (* (* x x) 1/8))))
* * * * [misc]progress:  [ 2 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))
* * * * [misc]progress:  [ 3 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))
* * * * [misc]progress:  [ 4 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (- (+ (* 3/8 (sqr x)) 1) (* 1/2 x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (+ (* (- 1/2 (* x 3/8)) x) (- (pow x (- 1/2)) 1))
* * * * [misc]progress:  [ 5 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 6 / 36 ] simplifiying candidate #<alt-event (λ (x) (- (pow x (- 1/2)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (- (pow x (- 1/2)) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 7 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (pow (+ x 1) 1/2))))>
* * * * [misc]progress:  [ 8 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (pow (sqrt (+ x 1)) 1))))>
* * * * [misc]progress:  [ 9 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (exp (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (log (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 10 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (log (exp (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 11 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (cube (cbrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 12 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (cbrt (cube (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* * * * [misc]progress:  [ 13 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (* (sqrt 1) (sqrt (+ 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 (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* * * * [misc]progress:  [ 14 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (sqr x) (- (sqr 1) (* x 1))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 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 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cube x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cube x)))
* [enter]simplify:  Simplifying (sqrt (+ (sqr x) (- (sqr 1) (* x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* x x) (- 1 x)))
* [exit]simplify:  Simplified to (sqrt (+ (* x x) (- 1 x)))
* * * * [misc]progress:  [ 15 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (/ (sqrt (- (sqr x) (sqr 1))) (sqrt (- x 1))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr x) (sqr 1)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [enter]simplify:  Simplifying (sqrt (- x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [exit]simplify:  Simplified to (sqrt (- x 1))
* * * * [misc]progress:  [ 16 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (sqr (sqrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 17 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (fabs (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 18 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (* 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 19 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* * * * [misc]progress:  [ 20 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (pow (sqrt (+ x 1)) (- 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 21 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (pow (sqrt (+ x 1)) -1)))>
* * * * [misc]progress:  [ 22 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (pow (/ 1 (sqrt (+ x 1))) 1)))>
* * * * [misc]progress:  [ 23 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (exp (- (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (- (log (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 24 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (exp (log (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (- (log (sqrt (+ x 1))))
* * * * [misc]progress:  [ 25 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (log (exp (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (exp (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 26 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (cube (cbrt (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 27 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (cbrt (cube (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* * * * [misc]progress:  [ 28 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (sqr (sqrt (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* * * * [misc]progress:  [ 29 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ (- 1) (- (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)))
* * * * [misc]progress:  [ 30 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 31 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ x 1)))
* * * * [misc]progress:  [ 32 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (/ (sqrt (+ x 1)) 1))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ x 1)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 x)) 1)
* * * * [misc]progress:  [ 33 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ (/ 1 (sqrt 1)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* * * * [misc]progress:  [ 34 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (/ (/ 1 1) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 35 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (* (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (sqr x) (- (sqr 1) (* x 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (cube x) 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (cube x) 1)))
* * * * [misc]progress:  [ 36 / 36 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (* (/ 1 (sqrt (- (sqr x) (sqr 1)))) (sqrt (- x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (sqr x) (sqr 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (sqr x) 1)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (- (sqr x) 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (+ x 1) (- 1/2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) (pow (+ x 1) (- 1/2)))
* * * * [misc]progress:  [ 2 / 18 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (pow (+ x 1) (- 1/2)))
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt-event (λ (x) (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (pow (+ x 1) (- 1/2)))
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (pow x (- 1/2)) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (sqrt x) (- 1)) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (sqrt x) -1) (pow (+ x 1) (- 1/2))))>
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (pow (/ 1 (sqrt x)) 1) (pow (+ x 1) (- 1/2))))>
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (exp (- (log (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- (log (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (exp (log (/ 1 (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (log (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (log (exp (/ 1 (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (exp (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (exp (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (cube (cbrt (/ 1 (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (cbrt (cube (/ 1 (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (sqr (sqrt (/ 1 (sqrt x)))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* * * * [misc]progress:  [ 14 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (- 1) (- (sqrt x))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (sqrt x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt x))
* [exit]simplify:  Simplified to (- (sqrt x))
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (* 1 (/ 1 (sqrt x))) (pow (+ x 1) (- 1/2))))>
* * * * [misc]progress:  [ 16 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (* 1 (/ 1 (sqrt x))) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* * * * [misc]progress:  [ 17 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (/ (sqrt x) 1)) (pow (+ x 1) (- 1/2))))>
* [enter]simplify:  Simplifying (/ (sqrt x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt x) 1)
* [exit]simplify:  Simplified to (/ (sqrt x) 1)
* * * * [misc]progress:  [ 18 / 18 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1 1) (sqrt x)) (pow (+ x 1) (- 1/2))))>
* [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
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (x) (- (pow x (- 1/2)) (/ 1 (sqrt (+ x 1)))))> #<alt-delta (λ (x) (- (cbrt (cube (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))> #<alt-delta (λ (x) (- (sqr (sqrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))> #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (cbrt (cube (/ 1 (sqrt (+ x 1)))))))> #<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))> #<alt-delta (λ (x) (- (exp (- (log (sqrt x)))) (/ 1 (sqrt (+ x 1)))))> #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (/ 1 (cbrt (cube (sqrt (+ x 1)))))))> #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (sqr (sqrt (/ 1 (sqrt (+ x 1)))))))> #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (pow (+ x 1) (- 1/2))))> #<alt-delta (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (cube x) 1))) (sqrt (+ (sqr x) (- (sqr 1) (* x 1)))))))> #<alt-delta (λ (x) (- (cube (cbrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#<alt-event (λ (x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))>)
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* [exit]simplify:  Simplified to (/ 1 (* x (sqrt x)))
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt x)))
* [enter]simplify:  Simplifying (cube (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [enter]simplify:  Simplifying (- (log (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [exit]simplify:  Simplified to (- (log (sqrt x)))
* [enter]simplify:  Simplifying (cube (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ x 1))))
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [exit]simplify:  Simplified to (- 1/2)
* [enter]simplify:  Simplifying (sqrt (+ (cube x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (cube x) 1))
* [exit]simplify:  Simplified to (sqrt (+ (cube x) 1))
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt x)))