* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 131 additional inputs, on iter 1 have 125 / 256
* * * * [misc]points:  Computing exacts on every 8 of 131 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 131 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 131 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 131 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 61 additional inputs, on iter 2 have 195 / 256
* * * * [misc]points:  Computing exacts on every 3 of 61 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 61 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 32 additional inputs, on iter 3 have 224 / 256
* * * * [misc]points:  Computing exacts on every 2 of 32 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 32 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 14 additional inputs, on iter 4 have 242 / 256
* * * * [misc]points:  Computing exacts for 14 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 8 additional inputs, on iter 5 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 6 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (- (sqrt (+ x 1)) (sqrt x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [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 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt (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)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (log (exp (- (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 2 / 18 ] simplifiying candidate #<alt (λ (x) (pow (- (sqrt (+ x 1)) (sqrt x)) 1))>
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt (λ (x) (exp (log (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt (λ (x) (log (exp (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt (λ (x) (+ (sqrt (+ x 1)) (- (sqrt x))))>
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt (λ (x) (* 1 (- (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt (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)) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))))
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt (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)) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))))
* * * * [misc]progress:  [ 14 / 18 ] simplifiying candidate #<alt (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 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt (λ (x) (+ (sqrt (+ x 1)) (- (sqrt x))))>
* * * * [misc]progress:  [ 16 / 18 ] simplifiying candidate #<alt (λ (x) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 17 / 18 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 18 / 18 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (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]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) (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]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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 4)) (+ (* (- +nan.0) (pow x 3)) (* (- +nan.0) (pow x 2)))) into (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 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)) 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)) (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]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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking 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))) 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))) (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]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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ x 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]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) (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]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 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ x 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]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) (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]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 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (* 1/2 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 1 1) (+ (* 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1 -1/8) (+ (* 1/2 1/2) (* -1/8 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ (- +nan.0) 1) (+ (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 x) 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]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)) (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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 x) 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]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)) (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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- (+ (* 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) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 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]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))) (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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (- (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 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]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))) (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]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 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 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 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 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))))) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]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) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ x 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]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)) (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]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) (* 1/2 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1 -1/8) (+ (* 1/2 1/2) (* -1/8 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (+ (* 1 1/16) (+ (* 1/2 -1/8) (+ (* -1/8 1/2) (* 1/16 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 1/2 1/16)))) (* 2 1)) into -5/128
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 1/2 1/16)))) (* 2 1)) into -5/128
* [misc]backup-simplify:  Simplify (+ (* 1 -5/128) (+ (* 1/2 1/16) (+ (* -1/8 -1/8) (+ (* 1/16 1/2) (* -5/128 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -5/128)) (* 2 (* -1/8 1/16)))) (* 2 1)) into 7/256
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -5/128)) (* 2 (* -1/8 1/16)))) (* 2 1)) into 7/256
* [misc]backup-simplify:  Simplify (+ (* 1 7/256) (+ (* 1/2 -5/128) (+ (* -1/8 1/16) (+ (* 1/16 -1/8) (+ (* -5/128 1/2) (* 7/256 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/16 2) (+ (* 2 (* 1/2 7/256)) (* 2 (* -1/8 -5/128)))) (* 2 1)) into -21/1024
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/16 2) (+ (* 2 (* 1/2 7/256)) (* 2 (* -1/8 -5/128)))) (* 2 1)) into -21/1024
* [misc]backup-simplify:  Simplify (+ (* 1 -21/1024) (+ (* 1/2 7/256) (+ (* -1/8 -5/128) (+ (* 1/16 1/16) (+ (* -5/128 -1/8) (+ (* 7/256 1/2) (* -21/1024 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -21/1024)) (* 2 (* -1/8 7/256)) (* 2 (* 1/16 -5/128)))) (* 2 1)) into 33/2048
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -21/1024)) (* 2 (* -1/8 7/256)) (* 2 (* 1/16 -5/128)))) (* 2 1)) into 33/2048
* [misc]backup-simplify:  Simplify (+ (* 1 33/2048) (+ (* 1/2 -21/1024) (+ (* -1/8 7/256) (+ (* 1/16 -5/128) (+ (* -5/128 1/16) (+ (* 7/256 -1/8) (+ (* -21/1024 1/2) (* 33/2048 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 x) 1) into (+ x 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 x) 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]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)) (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]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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 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]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)) (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]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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 4 / 4 ] 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [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 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow x (+ 1/2 1/2))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow x 1)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 2 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt x) (+ 1 1))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt 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 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt x) 2)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 3 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (* x x) 1/2)) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (* x x) 1/2)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 4 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (* (sqrt x) (sqrt x)) 1)) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to x
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow x 1)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 5 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt x) 2)) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 6 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt x) (+ 1 1))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (sqrt x) (+ 1 1))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 7 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (pow (* (sqrt x) (sqrt x)) 1)) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 8 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (exp (+ (log (sqrt x)) (log (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt x)) (log (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt x)) (log (sqrt x)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (exp (+ (log (sqrt x)) (log (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 9 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (exp (log (* (sqrt x) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 10 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (log (exp (* (sqrt x) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (cbrt (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (pow x 3)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (cbrt (pow x 3))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 12 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x)))) (cbrt (* (sqrt x) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 13 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (cbrt (* (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 14 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (* x x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (* x x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 15 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 16 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) x) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 17 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* 1 (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 18 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (cbrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 19 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) (sqrt (sqrt x))) (sqrt (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) (sqrt (sqrt x))) (sqrt (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 20 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) 1) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (sqrt x) 1) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 21 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt x)) (cbrt (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt x)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 22 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 23 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* 1 (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 24 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 25 / 127 ] simplifiying candidate #<alt (λ (x) (pow (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) 1))>
* * * * [misc]progress:  [ 26 / 127 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (log (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 27 / 127 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 28 / 127 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 29 / 127 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (* (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 30 / 127 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 31 / 127 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 32 / 127 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 33 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 34 / 127 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) (/ (* (sqrt x) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (* (sqrt x) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 35 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 36 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 37 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) 1) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 38 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) 1) (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 39 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 40 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 41 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 42 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) 1) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 43 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 44 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 45 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (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
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (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 (41 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 46 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (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
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (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 (41 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 47 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (+ (sqrt (+ x 1)) (sqrt x)) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqrt (+ 1 x)) (sqrt x)) (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (+ (sqrt (+ 1 x)) (sqrt x)) (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (- (sqrt (+ 1 x)) (sqrt x)) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 48 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (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 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 49 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [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 (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (+ 1 x)) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (+ 1 x)) (sqrt x)) (/ (- (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 50 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (+ x 1)) (sqrt x)) 1) (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [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 (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (+ 1 x)) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (+ 1 x)) (sqrt x)) (/ (- (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 51 / 127 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 52 / 127 ] simplifiying candidate #<alt (λ (x) (* (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 53 / 127 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))>
* * * * [misc]progress:  [ 54 / 127 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (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 (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 55 / 127 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (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 (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 56 / 127 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt 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 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) 1) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 57 / 127 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt 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 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) 1) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 58 / 127 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))))>
* [enter]simplify:  Simplifying (* (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (cbrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))))
* * * * [misc]progress:  [ 59 / 127 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))))))
* * * * [misc]progress:  [ 60 / 127 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))>
* * * * [misc]progress:  [ 61 / 127 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt (+ x 1)) (sqrt x)) (/ (+ (sqrt (+ x 1)) (sqrt x)) (- (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 (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (+ (sqrt (+ 1 x)) (sqrt x)) (/ (+ (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 62 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (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 (45 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 63 / 127 ] simplifiying candidate #<alt (λ (x) (* (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (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 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 64 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 3) (pow (* (sqrt x) (sqrt x)) 3)) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (+ (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))))>
* [enter]simplify:  Simplifying (- (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 3) (pow (* (sqrt x) (sqrt x)) 3))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (406 enodes)
* [exit]simplify:  Simplified to (+ (* (- x) (* x x)) (pow (+ 1 x) 3))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (+ (* (- x) (* x x)) (pow (+ 1 x) 3)) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (+ (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))))
* * * * [misc]progress:  [ 65 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* [exit]simplify:  Simplified to (+ x (+ 1 x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (+ x (+ 1 x)) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))))
* * * * [misc]progress:  [ 66 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (+ x 1) (+ 1/2 1/2)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (pow (+ 1 x) (+ 1/2 1/2)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (pow (+ x 1) 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 67 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) (+ 1 1)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (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 (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (pow (sqrt (+ 1 x)) (+ 1 1)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (pow (sqrt (+ x 1)) 2) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 68 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (* (+ x 1) (+ x 1)) 1/2) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (+ x 1) (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (pow (* (+ 1 x) (+ 1 x)) 1/2) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 69 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (pow (+ 1 x) 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 70 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) 2) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 71 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) (+ 1 1)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (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 (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (pow (sqrt (+ 1 x)) (+ 1 1)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 72 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 73 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (exp (+ (log (sqrt (+ x 1))) (log (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (+ x 1))) (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))) (log (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (exp (+ (log (sqrt (+ 1 x))) (log (sqrt (+ 1 x))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 74 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (exp (log (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 75 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (log (exp (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 76 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (cbrt (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* [exit]simplify:  Simplified to (pow (+ 1 x) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (cbrt (pow (+ 1 x) 3)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 77 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (cbrt (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 78 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (cbrt (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 79 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (* (+ x 1) (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (+ x 1) (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (+ 1 x) (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (sqrt (* (+ 1 x) (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 80 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 81 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (+ x 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 82 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (pow x 3) (pow 1 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (+ 1 (pow x 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (+ 1 (pow x 3)) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (+ (- 1 x) (* x x))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (+ 1 (pow x 3)) (+ (- 1 x) (* x x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 83 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (- x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (pow x 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (- x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (- x 1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- x 1)) (sqrt (+ (- 1 x) (* x x))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (pow x 3)))) (* (sqrt (- x 1)) (sqrt (+ (- 1 x) (* x x))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 84 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (- (* x x) (* 1 1))) (sqrt (+ (pow x 3) (pow 1 3)))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ (pow x 3) 1)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (* (sqrt (- (* x x) 1)) (sqrt (+ (pow x 3) 1))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (- x 1)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ x -1)) (sqrt (+ (* x x) (- 1 x))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (* (sqrt (- (* x x) 1)) (sqrt (+ (pow x 3) 1))) (* (sqrt (+ x -1)) (sqrt (+ (* x x) (- 1 x))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 85 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (- x 1)) (sqrt (- x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (- (* x x) 1)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (- (* x x) 1) (* (sqrt (- x 1)) (sqrt (- x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (- x 1)) (sqrt (- x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (+ x -1)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (- (* x x) 1) (+ x -1)) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 86 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 87 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [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)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 88 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 89 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [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)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 90 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (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 (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt 1)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 91 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [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)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 92 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (+ x 1)) 1) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (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 (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (+ x 1)) 1) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 93 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (* (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 94 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (sqrt (cbrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (* (fabs (cbrt (+ 1 x))) (* (sqrt (cbrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 95 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [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)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 96 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt 1) (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (* 1 (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 97 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [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)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (* (sqrt (sqrt (+ 1 x))) (* (sqrt (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 98 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 99 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (+ x 1)) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) (- x 1)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (* (sqrt (+ x 1)) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1)))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 100 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (sqrt (- x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (- x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ x -1))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (/ (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 101 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ x 1))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (pow x 3))) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (* (sqrt (+ 1 (pow x 3))) (sqrt (+ 1 x))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 102 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (/ (* (sqrt (- (* x x) (* 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ x 1)) (sqrt (+ -1 (* x x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (/ (- (/ (* (sqrt (+ x 1)) (sqrt (+ -1 (* x x)))) (sqrt (- x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 103 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 104 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (log (exp (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 105 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (pow (+ (sqrt (+ x 1)) (sqrt x)) 1)))>
* * * * [misc]progress:  [ 106 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (exp (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 107 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (log (exp (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 108 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 109 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (cbrt (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 110 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 111 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (/ (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 112 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 113 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 114 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt 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 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 115 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 116 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 117 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 118 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 119 / 127 ] simplifiying candidate #<alt (λ (x) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 120 / 127 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 121 / 127 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 122 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (+ x 1) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (/ (- (+ 1 x) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 123 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (/ (- +nan.0 (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 124 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (/ (- +nan.0 (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 125 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) +nan.0))
* * * * [misc]progress:  [ 126 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) +nan.0))
* * * * [misc]progress:  [ 127 / 127 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) +nan.0))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 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) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) -1)))>
* * * * [misc]progress:  [ 2 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) -1)))
* * * * [misc]progress:  [ 3 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) 1)))>
* * * * [misc]progress:  [ 4 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (exp (- (log (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 5 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (exp (log (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 6 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (log (exp (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 7 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* (* (cbrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 8 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (cbrt (* (* (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 9 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 10 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1) (- (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 11 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 12 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 13 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (+ (sqrt (+ 1 x)) (sqrt x)) 1))))>
* * * * [misc]progress:  [ 14 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 15 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 16 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 1) (+ (sqrt (+ 1 x)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ 1 x)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 1) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 17 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 1) (+ (sqrt (+ 1 x)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ 1 x)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 1) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 18 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (- (+ (+ x x) 1) (* (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (- (+ (+ x x) 1) (* (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 19 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ 1 x)) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (sqrt (+ 1 x)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 20 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (log (* (exp (sqrt (+ 1 x))) (exp (sqrt x)))))))>
* [enter]simplify:  Simplifying (* (exp (sqrt (+ 1 x))) (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 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ 1 (log (exp (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 21 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) 1))))>
* * * * [misc]progress:  [ 22 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (exp (log (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 23 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (log (exp (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 24 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 25 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (cbrt (* (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 26 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 27 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 28 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* 1 (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 29 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 30 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* 1 (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ 1 x)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (x) (* 1 (/ 1 (* 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 31 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))>
* * * * [misc]progress:  [ 32 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 33 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 34 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 35 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ 1 +nan.0)))
* * * * [misc]progress:  [ 36 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ 1 +nan.0)))
* * * * [misc]progress:  [ 37 / 37 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ 1 +nan.0)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 x)) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3)))))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 (- x))) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3)))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ (- +nan.0) 1) (+ (* 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ +nan.0 1)) (* (- +nan.0) (/ +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ (- +nan.0) 1) (+ (* 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) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))
* [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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 x)) (/ 1 (pow (sqrt +nan.0) 2)))) into (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt +nan.0)) (sqrt +nan.0)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5)))))) (sqrt +nan.0)) (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 (- x))) (/ 1 (pow (sqrt +nan.0) 2)))) into (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 x)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 x) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking 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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ -1/8 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 1)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (sqrt (+ 1 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- 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 (sqrt (- +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) -1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 2 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to -1/2
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (pow (+ (sqrt (+ 1 x)) (sqrt x)) -1/2) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 3 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) -1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 4 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (pow (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 5 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (exp (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 6 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (exp (log (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 7 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (log (exp (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 8 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 9 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (cbrt (* (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 10 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 11 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (- 1) (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 12 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* 1 (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 13 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* 1 (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 14 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 15 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 16 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 17 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 18 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 19 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 20 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 21 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ (/ 1 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 22 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (* (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 23 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (* (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 24 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- -1 1))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- -1 1))))
* [enter]simplify:  Simplifying (- -1 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to -2
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) -2)))
* * * * [misc]progress:  [ 25 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) (- (- 1/2) 1/2))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ 1 x)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (pow (+ (sqrt (+ x 1)) (sqrt x)) (- (- 1/2) 1/2))))
* [enter]simplify:  Simplifying (- (- 1/2) 1/2)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) -1)))
* * * * [misc]progress:  [ 26 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (- (- 1) 1))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ x 1)) (sqrt x))) (- (- 1) 1))))
* [enter]simplify:  Simplifying (- (- 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to -2
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) -2)))
* * * * [misc]progress:  [ 27 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (pow (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 1)))>
* * * * [misc]progress:  [ 28 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (exp (- (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (exp (- (+ (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))))
* * * * [misc]progress:  [ 29 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (exp (- (log (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (- (log (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (exp (- (+ (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))))
* * * * [misc]progress:  [ 30 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (exp (log (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 31 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (log (exp (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 32 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (cbrt (/ (* (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 33 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (* (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 34 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (cbrt (* (* (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 35 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 36 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (- (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 37 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 38 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 39 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 40 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 41 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 42 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 43 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) 1) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 44 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 45 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 46 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 47 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 48 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 49 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 50 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) 1) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 51 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 52 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 53 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 54 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 55 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 56 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 57 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 1) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (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
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 58 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 59 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 60 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 61 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 62 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 63 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 64 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 1) (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (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
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 65 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 66 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 67 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 68 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt 1)) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 69 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt 1)) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 70 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (- (- (+ x 1) (- x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 71 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) 1) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) 1) (/ (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 72 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 73 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 74 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 75 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt 1)) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 76 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt 1)) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 77 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))))
* * * * [misc]progress:  [ 78 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) 1) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 79 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 80 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 81 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 82 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (cbrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 83 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 84 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 85 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 86 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 87 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 88 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 89 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))))
* * * * [misc]progress:  [ 90 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))))
* * * * [misc]progress:  [ 91 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 92 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 93 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))
* * * * [misc]progress:  [ 94 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ 1 (/ (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))))))
* * * * [misc]progress:  [ 95 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))) (sqrt (- (+ 1 (+ x x)) (* (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 96 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (* (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 97 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 98 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (pow (+ (sqrt (+ 1 x)) (sqrt x)) 1/2))))>
* * * * [misc]progress:  [ 99 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) 1))))>
* * * * [misc]progress:  [ 100 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (exp (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 101 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (log (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 102 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 103 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (* (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 104 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* * * * [misc]progress:  [ 105 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))
* * * * [misc]progress:  [ 106 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* * * * [misc]progress:  [ 107 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))
* * * * [misc]progress:  [ 108 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))
* * * * [misc]progress:  [ 109 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ 1 (sqrt (- (sqrt (+ 1 x)) (sqrt x)))))))
* * * * [misc]progress:  [ 110 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))))>
* * * * [misc]progress:  [ 111 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (fabs (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (fabs (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 112 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))>
* * * * [misc]progress:  [ 113 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (pow (+ (sqrt (+ 1 x)) (sqrt x)) 1/2)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 114 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (pow (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) 1)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 115 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (exp (log (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 116 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (log (exp (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 117 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (* (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 118 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (cbrt (* (* (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 119 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (* (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 120 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (* (sqrt (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 121 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 122 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt 1) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 123 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (/ (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (/ (sqrt (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 124 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (/ (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 125 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 126 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (fabs (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (* 1 (/ (/ 1 (fabs (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 127 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* * * * [misc]progress:  [ 128 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ +nan.0 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 129 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3))))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3)))))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ +nan.0 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 130 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3))))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 5)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 3)))))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* 1 (/ +nan.0 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 131 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 132 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 133 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 6)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 4)))) (- (* +nan.0 (/ 1 (* x (pow (sqrt +nan.0) 4)))))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 +nan.0))
* * * * [misc]progress:  [ 134 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) +nan.0)))
* * * * [misc]progress:  [ 135 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) +nan.0)))
* * * * [misc]progress:  [ 136 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) +nan.0)))
* * * * [misc]progress:  [ 137 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ 1 +nan.0) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 138 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ 1 +nan.0) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 139 / 139 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* 1 (/ (/ 1 +nan.0) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))> #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))> #<alt (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (x)
* * * * [misc]regimes:  Trying to branch on x from (#<alt (λ (x) (* 1 (* (* (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))))) (/ (cbrt (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (* (fabs (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))))> #<alt (λ (x) (* 1 (/ (/ (/ 1 (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))> #<alt (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (sqrt (+ (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))))))))> #<alt (λ (x) (* 1 (/ (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 3 256))>
* [enter]simplify:  Simplifying (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3985 additional inputs, on iter 1 have 4015 / 8000
* * * * [misc]points:  Computing exacts on every 249 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 124 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3985 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1974 additional inputs, on iter 2 have 6026 / 8000
* * * * [misc]points:  Computing exacts on every 123 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 61 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 30 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1974 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1002 additional inputs, on iter 3 have 6998 / 8000
* * * * [misc]points:  Computing exacts on every 62 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1002 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 506 additional inputs, on iter 4 have 7494 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 506 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 257 additional inputs, on iter 5 have 7743 / 8000
* * * * [misc]points:  Computing exacts on every 16 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 257 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 133 additional inputs, on iter 6 have 7867 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 133 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 55 additional inputs, on iter 7 have 7945 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 55 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 55 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 25 additional inputs, on iter 8 have 7975 / 8000
* * * * [misc]points:  Computing exacts for 25 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 14 additional inputs, on iter 9 have 7986 / 8000
* * * * [misc]points:  Computing exacts for 14 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 10 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 11 have 7996 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 12 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs