* [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 (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (- (sqrt (+ x 1)) (sqrt x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) 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]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]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) 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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 1/2 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ -1/8 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 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 (- (+ (* 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) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +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)) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-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) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +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)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt-event (λ (x) (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))
* * * * [misc]progress:  [ 2 / 18 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (expm1 (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (expm1 (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (log1p (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt-delta (λ (x) (log (/ (exp (sqrt (+ x 1))) (exp (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (exp (sqrt (+ x 1))) (exp (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (exp (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt-delta (λ (x) (pow (- (sqrt (+ x 1)) (sqrt x)) 1))>
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (log (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (log (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (exp (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (exp (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt-delta (λ (x) (cube (cbrt (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (cbrt (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (cbrt (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (cube (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (cube (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cube (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (cube (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt-delta (λ (x) (+ (sqrt (+ x 1)) (- (sqrt x))))>
* [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:  [ 14 / 18 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (- (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (sqr (sqrt (+ x 1))) (+ (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x)))
* [exit]simplify:  Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x)))
* [enter]simplify:  Simplifying (+ (sqr (sqrt (+ x 1))) (+ (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (fma (sqrt x) (sqrt (+ x 1)) (+ (+ x 1) x))
* [exit]simplify:  Simplified to (fma (sqrt x) (sqrt (+ x 1)) (+ (+ x 1) x))
* * * * [misc]progress:  [ 16 / 18 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (sqr (sqrt (+ x 1))) (sqr (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt x) (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (+ (sqrt x) (sqrt (+ x 1)))
* * * * [misc]progress:  [ 17 / 18 ] simplifiying candidate #<alt-delta (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* [exit]simplify:  Simplified to (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* [enter]simplify:  Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * * * [misc]progress:  [ 18 / 18 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (- (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) 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]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 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) 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]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 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.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)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.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 (- (+ (* 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) 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 (- (+ (* 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) 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)) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.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)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.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 (- 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) 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 (- 0) into 0
* [misc]backup-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) 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 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) 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]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]taylor:  Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) 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]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 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 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 (- (+ (* 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) 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)) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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]taylor:  Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) 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]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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 0) into 0
* [misc]backup-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) 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)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 40 ] simplifiying candidate #<alt-event (λ (x) (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))
* * * * [misc]progress:  [ 2 / 40 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 3 / 40 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 4 / 40 ] simplifiying candidate #<alt-event (λ (x) (/ 1 (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))))>
* [enter]simplify:  Simplifying (/ 1 (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))
* * * * [misc]progress:  [ 5 / 40 ] simplifiying candidate #<alt-event (λ (x) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 6 / 40 ] simplifiying candidate #<alt-event (λ (x) (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))))))>
* [enter]simplify:  Simplifying (/ 1 (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))
* * * * [misc]progress:  [ 7 / 40 ] simplifiying candidate #<alt-delta (λ (x) (log1p (expm1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (expm1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 8 / 40 ] simplifiying candidate #<alt-delta (λ (x) (expm1 (log1p (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (log1p (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 9 / 40 ] simplifiying candidate #<alt-delta (λ (x) (pow (+ (sqrt (+ x 1)) (sqrt x)) -1))>
* * * * [misc]progress:  [ 10 / 40 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) 1))>
* * * * [misc]progress:  [ 11 / 40 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt x) (sqrt (+ x 1)))))
* [exit]simplify:  Simplified to (- (log (+ (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 12 / 40 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 13 / 40 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 14 / 40 ] simplifiying candidate #<alt-delta (λ (x) (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 15 / 40 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (cube (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cube (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 16 / 40 ] simplifiying candidate #<alt-delta (λ (x) (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 17 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ (- 1) (- (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (- (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (- (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 18 / 40 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 19 / 40 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 20 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) 1)))>
* [enter]simplify:  Simplifying (/ (+ (sqrt (+ x 1)) (sqrt x)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqrt x) (sqrt (+ x 1))) 1)
* [exit]simplify:  Simplified to (/ (+ (sqrt x) (sqrt (+ x 1))) 1)
* * * * [misc]progress:  [ 21 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ 1 1) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 22 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ 1 1) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 23 / 40 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (sqr (sqrt (+ x 1))) (- (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ 1 (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 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 (34 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)))
* [exit]simplify:  Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)))
* * * * [misc]progress:  [ 24 / 40 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))) (- (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x))))
* * [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 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* * * * [misc]progress:  [ 25 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (log1p (expm1 (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (expm1 (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (expm1 (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (expm1 (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 26 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (expm1 (log1p (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (log1p (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (log1p (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (log1p (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 27 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (fma (sqrt 1) (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 28 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (fma 1 (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 29 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (log (* (exp (sqrt (+ x 1))) (exp (sqrt x))))))>
* [enter]simplify:  Simplifying (* (exp (sqrt (+ x 1))) (exp (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (exp (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 30 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (pow (+ (sqrt (+ x 1)) (sqrt x)) 1)))>
* * * * [misc]progress:  [ 31 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (exp (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (log (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (log (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (log (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 32 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (log (exp (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (exp (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (exp (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 33 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (cube (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (cbrt (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 34 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (cbrt (cube (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cube (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (cube (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (cube (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 35 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (sqr (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (sqrt (+ (sqrt x) (sqrt (+ x 1))))
* * * * [misc]progress:  [ 36 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (* 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 37 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (sqr (sqrt (+ x 1))) (- (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x)))
* [exit]simplify:  Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x)))
* [enter]simplify:  Simplifying (+ (sqr (sqrt (+ x 1))) (- (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (- (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (- (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]progress:  [ 38 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (- (sqr (sqrt (+ x 1))) (sqr (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* * * * [misc]progress:  [ 39 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (* 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt x) (sqrt (+ x 1)))
* [exit]simplify:  Simplified to (+ (sqrt x) (sqrt (+ x 1)))
* * * * [misc]progress:  [ 40 / 40 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [exit]simplify:  Simplified to (sqrt x)
* [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 (+ x 1))
* [exit]simplify:  Simplified to (sqrt (+ x 1))
* [enter]simplify:  Simplifying (+ (+ x 1) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (+ (+ x x) 1)
* [exit]simplify:  Simplified to (+ (+ x x) 1)
* [enter]simplify:  Simplifying (log (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (- (sqrt (+ x 1)) (sqrt x)))
* [exit]simplify:  Simplified to (log (- (sqrt (+ x 1)) (sqrt x)))
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (cbrt (+ (sqrt x) (sqrt (+ x 1))))
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [enter]simplify:  Simplifying (cube (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt x) (sqrt (+ x 1))))
* [exit]simplify:  Simplified to (sqrt (+ (sqrt x) (sqrt (+ x 1))))
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))