* [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:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 131 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 2 of 131 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 131 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 61 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 32 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ +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 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (- +nan.0) -1) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2
* [misc]backup-simplify:  Simplify (- -1/2) into 1/2
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 1/2) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* (- +nan.0) (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +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 (- (+ (* +nan.0 (/ +nan.0 +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- +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 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt (/ 1 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqrt (/ 1 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +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 (- (+ (* +nan.0 (/ +nan.0 +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- +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 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (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 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (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 2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]backup-simplify:  Simplify (+ (* 3/8 (pow x 2)) (+ (* -1/2 x) 1)) into (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x))
* [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (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 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (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 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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 / 83 ] simplifiying candidate #<alt (λ (x) (log (/ (exp (/ 1 (sqrt x))) (exp (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (/ (exp (/ 1 (sqrt x))) (exp (/ 1 (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (log (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (x) (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) 1))>
* * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (x) (exp (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (x) (log (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ x 1)) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt x) (sqrt (+ x 1)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (/ 1 (sqrt x)) 3) (pow (/ 1 (sqrt (+ x 1))) 3)) (+ (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (+ (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))))>
* * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (x) (+ (/ 1 (sqrt x)) (- (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (x) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 (sqrt x)))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))))
* [enter]simplify:  Simplifying (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (x) (+ (/ 1 (sqrt x)) (- (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt x) -1) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (x) (- (pow x (- 1/2)) (/ 1 (sqrt (+ x 1)))))>
* [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 1 2) to (λ (x) (- (pow x -1/2) (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt x) (- 1)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (pow (sqrt x) -1) (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (x) (- (pow (/ 1 (sqrt x)) 1) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (x) (- (exp (- (log (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (x) (- (exp (log (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (x) (- (log (exp (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (x) (- (* (* (cbrt (/ 1 (sqrt x))) (cbrt (/ 1 (sqrt x)))) (cbrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (x) (- (cbrt (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ (- 1) (- (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (x) (- (* 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (x) (- (* 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (/ (sqrt x) 1)) (/ 1 (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* [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) to (λ (x) (- (/ (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x))) (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ 1 (sqrt (+ x 1)))))>
* [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) to (λ (x) (- (/ (/ 1 (sqrt (sqrt x))) (sqrt (sqrt x))) (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ (/ 1 1) (sqrt x)) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (/ 1 1) (sqrt x)) (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (pow (sqrt (+ x 1)) -1)))>
* * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (pow (+ x 1) (- 1/2))))>
* [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 2) to (λ (x) (- (/ 1 (sqrt x)) (pow (+ x 1) -1/2)))
* * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (pow (sqrt (+ x 1)) (- 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (pow (sqrt (+ x 1)) -1)))
* * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (pow (/ 1 (sqrt (+ x 1))) 1)))>
* * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (exp (- (log (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (exp (log (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (log (exp (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) (cbrt (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (cbrt (* (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (- 1) (- (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* 1 (/ 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (+ x 1)) 1))))>
* * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1))))))>
* [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 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x))))))
* * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt 1)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt 1)) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 1) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ (/ 1 1) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))>
* [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 2 2) to (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1))))))
* * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (- x 1)))))>
* [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 2 2) to (λ (x) (- (/ 1 (sqrt x)) (* (/ 1 (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1)))))
* * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (pow (+ x 1) 1/2))))>
* * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (pow (sqrt (+ x 1)) 1))))>
* * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (exp (log (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (log (exp (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1)))))))>
* [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 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))))))
* * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt 1) (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))))
* * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))))))>
* [enter]simplify:  Simplifying (sqrt (- (* x x) (* 1 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))))))
* * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (fabs (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (fabs (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (* 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 73 / 83 ] 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:  [ 74 / 83 ] 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:  [ 75 / 83 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (/ 1 (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- +nan.0 (/ 1 (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x))))>
* [enter]simplify:  Simplifying (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (+ (* (* 3/8 x) x) (+ (* x -1/2) 1))
* [misc]simplify:  Simplified (2 2) to (λ (x) (- (/ 1 (sqrt x)) (+ (* (* 3/8 x) x) (+ (* x -1/2) 1))))
* * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (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) (- (/ 1 (sqrt x)) +nan.0))
* * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (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) (- (/ 1 (sqrt x)) +nan.0))
* * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt x)) (/ 1 (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8)))))
* * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt 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 2) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 +nan.0)))
* * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (sqrt 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 2) to (λ (x) (- (/ 1 (sqrt x)) (/ 1 +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)) (* (sqrt x) (sqrt (+ x 1)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [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:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +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 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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) 1))) 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) 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 (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 (+ (* 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 (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)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)) 1))) 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)) 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 (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 (+ (* 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 (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:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 1/2 (- +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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) 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 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) 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) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.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 (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) (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.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 (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) (- +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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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)))) 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 (- (+ (* 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 (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) (- +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)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (* 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 (- 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (* 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 (- 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- (+ (* -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 (- 0) into 0
* [misc]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 (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) (- +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:  [ 4 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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 / 97 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp (sqrt (+ x 1))) (exp (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* [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 1) to (λ (x) (/ (log (exp (- (sqrt (+ 1 x)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 2 / 97 ] simplifiying candidate #<alt (λ (x) (/ (pow (- (sqrt (+ x 1)) (sqrt x)) 1) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 3 / 97 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- (sqrt (+ x 1)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 4 / 97 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- (sqrt (+ x 1)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 5 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 6 / 97 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 7 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 8 / 97 ] 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))))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 9 / 97 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt (+ x 1)) (- (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 10 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 11 / 97 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 12 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* [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 1) to (λ (x) (/ (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))
* [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 1 2) to (λ (x) (/ (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 13 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))>
* [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 1) to (λ (x) (/ (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))
* [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 1 2) to (λ (x) (/ (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))) (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 14 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (* 1 (- (sqrt (+ 1 x)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 15 / 97 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt (+ x 1)) (- (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))>
* * * * [misc]progress:  [ 16 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (pow (* x (+ x 1)) 1/2)))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (pow (+ x (* x x)) 1/2)))
* * * * [misc]progress:  [ 17 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (pow (* (sqrt x) (sqrt (+ x 1))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt x) (sqrt (+ x 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (pow (* (sqrt x) (sqrt (+ x 1))) 1)))
* * * * [misc]progress:  [ 18 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (pow (* (sqrt x) (sqrt (+ x 1))) 1)))>
* * * * [misc]progress:  [ 19 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (exp (+ (log (sqrt x)) (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt x)) (log (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt x)) (log (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (exp (+ (log (sqrt x)) (log (sqrt (+ 1 x)))))))
* * * * [misc]progress:  [ 20 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (exp (log (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 21 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (log (exp (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 22 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x)
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x))))
* * * * [misc]progress:  [ 23 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) (cbrt (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 24 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (cbrt (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 25 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* x (+ x 1)))))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x (* x x)))))
* * * * [misc]progress:  [ 26 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (* (sqrt x) (sqrt (+ x 1)))) (sqrt (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 27 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* 1 (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 28 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 29 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1))))))>
* [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 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x))))))
* * * * [misc]progress:  [ 30 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 31 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt 1)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt 1)) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 32 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 33 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) 1) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (sqrt x) 1) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 34 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1))))))>
* [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 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 35 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 36 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* 1 (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 37 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))>
* [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 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1))))))
* * * * [misc]progress:  [ 38 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (- x 1)))))>
* [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 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1)))))
* * * * [misc]progress:  [ 39 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 40 / 97 ] simplifiying candidate #<alt (λ (x) (pow (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) 1))>
* * * * [misc]progress:  [ 41 / 97 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- (sqrt (+ x 1)) (sqrt x))) (+ (log (sqrt x)) (log (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (- (log (- (sqrt (+ x 1)) (sqrt x))) (+ (log (sqrt x)) (log (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (+ (log (sqrt x)) (log (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log (- (sqrt (+ 1 x)) (sqrt x))) (+ (log (sqrt x)) (log (sqrt (+ 1 x)))))))
* * * * [misc]progress:  [ 42 / 97 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- (sqrt (+ x 1)) (sqrt x))) (log (* (sqrt x) (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (- (log (- (sqrt (+ x 1)) (sqrt x))) (log (* (sqrt x) (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (log (* (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log (- (sqrt (+ 1 x)) (sqrt x))) (log (* (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 43 / 97 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 44 / 97 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 45 / 97 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* [exit]simplify:  Simplified to (/ (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) (* (sqrt (+ 1 x)) (* (* (sqrt x) (+ 1 x)) x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (/ (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) (* (sqrt (+ 1 x)) (* (* (sqrt x) (+ 1 x)) x)))))
* * * * [misc]progress:  [ 46 / 97 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* [exit]simplify:  Simplified to (pow (/ (- (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (pow (/ (- (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) 3)))
* * * * [misc]progress:  [ 47 / 97 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))) (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 48 / 97 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- (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)))))))>
* * * * [misc]progress:  [ 49 / 97 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) (sqrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 50 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (- (sqrt (+ x 1)) (sqrt x))) (- (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 51 / 97 ] simplifiying candidate #<alt (λ (x) (- (/ (sqrt (+ x 1)) (* (sqrt x) (sqrt (+ x 1)))) (/ (sqrt x) (* (sqrt x) (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ x 1)) (* (sqrt x) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- (/ (/ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) (/ (sqrt x) (* (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 52 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) (/ (cbrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (sqrt x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (/ (sqrt x) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (/ (sqrt x) (cbrt (- (sqrt (+ 1 x)) (sqrt x))))) (/ (cbrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (cbrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))
* * [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 (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 53 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt x)) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (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 x))) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt x)) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))
* * [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 x))) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt x)) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 54 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 55 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (sqrt x)) (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (9 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 (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 56 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (sqrt x)) (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (9 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 (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 57 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))))
* [enter]simplify:  Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt x)) (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)))))
* * * * [misc]progress:  [ 58 / 97 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 59 / 97 ] simplifiying candidate #<alt (λ (x) (* (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 60 / 97 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 61 / 97 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ 1 x))))
* * * * [misc]progress:  [ 62 / 97 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (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 (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (- (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 63 / 97 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (/ (* (sqrt x) (sqrt (+ x 1))) (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 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (- (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 64 / 97 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 65 / 97 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (/ (* (sqrt x) (sqrt (+ x 1))) (- (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 x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))))))
* * * * [misc]progress:  [ 66 / 97 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (/ (* (sqrt x) (sqrt (+ x 1))) (- (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 x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))))))
* * * * [misc]progress:  [ 67 / 97 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 68 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))>
* [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 2) to (λ (x) (* (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (- (* x x) (- x 1)))))
* * * * [misc]progress:  [ 69 / 97 ] simplifiying candidate #<alt (λ (x) (* (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (- x 1))))>
* [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 2) to (λ (x) (* (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (+ x -1))))
* * * * [misc]progress:  [ 70 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 71 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 72 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (pow (+ x 1) 1/2))))>
* * * * [misc]progress:  [ 73 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (pow (sqrt (+ x 1)) 1))))>
* * * * [misc]progress:  [ 74 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (exp (log (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 75 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (log (exp (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 76 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 77 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 78 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1)))))))>
* [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 2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))))))
* * * * [misc]progress:  [ 79 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 80 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (sqrt 1) (sqrt (+ x 1))))))>
* [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) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* 1 (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 81 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))))
* * * * [misc]progress:  [ 82 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (/ (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))))))>
* [enter]simplify:  Simplifying (sqrt (- (* x x) (* 1 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))))))
* * * * [misc]progress:  [ 83 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 84 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (fabs (sqrt (+ x 1))))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (fabs (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 85 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (* 1 (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 86 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))) (* (sqrt x) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 87 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (* (sqrt x) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 88 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (* (sqrt x) (sqrt (+ x 1)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (* (sqrt x) (sqrt (+ x 1)))))
* * * * [misc]progress:  [ 89 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) +nan.0))
* * * * [misc]progress:  [ 90 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (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)) +nan.0))
* * * * [misc]progress:  [ 91 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (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)) +nan.0))
* * * * [misc]progress:  [ 92 / 97 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 93 / 97 ] 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:  [ 94 / 97 ] 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:  [ 95 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8)))))
* * * * [misc]progress:  [ 96 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (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 2) to (λ (x) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) +nan.0)))
* * * * [misc]progress:  [ 97 / 97 ] simplifiying candidate #<alt (λ (x) (/ (- (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 2) to (λ (x) (/ (- (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 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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)) 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 1) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* (- +nan.0) 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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)) 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 1) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* (- +nan.0) 1)) 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 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 (+ 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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 1))) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ 1/16 +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* (- +nan.0) 0))) into 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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* (- +nan.0) 0))) into 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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 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)) (* 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 (pow +nan.0 2) (+ (* 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 (- (+ (* 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 (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 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 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)) (* 0 (/ 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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 (/ (- +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 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* (- +nan.0) 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* (- +nan.0) 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 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 (- 0) into 0
* [misc]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 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]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 (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 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 (/ (- +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 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +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 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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) 1))) 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) 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 (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 (+ (* 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 (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)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)) 1))) 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)) 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 (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 (+ (* 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 (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:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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)) 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) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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)) 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 1) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* (- +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 (+ 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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +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 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ 1/16 +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +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 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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))) 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)) (sqrt (+ (/ 1 x) 1))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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))) 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 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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* (- +nan.0) 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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 (- (+ (* 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 (pow +nan.0 2) (+ (* 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 (- (+ (* 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 (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 (- +nan.0)) (+ (* 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)))) 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))) (sqrt (+ (/ 1 (- x)) 1))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)))) 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 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 (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (* 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 (pow +nan.0 2) (+)) (* 2 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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 (- 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 (- 0) into 0
* [misc]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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 (pow +nan.0 2) (+ (* 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 (- 0) into 0
* [misc]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 (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 (- +nan.0)) (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- +nan.0)) (+ (* 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 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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 / 105 ] simplifiying candidate #<alt (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) -1))>
* * * * [misc]progress:  [ 2 / 105 ] simplifiying candidate #<alt (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (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) to (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) -1))
* * * * [misc]progress:  [ 3 / 105 ] simplifiying candidate #<alt (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (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) to (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) -1))
* * * * [misc]progress:  [ 4 / 105 ] simplifiying candidate #<alt (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (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) to (λ (x) (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) -1))
* * * * [misc]progress:  [ 5 / 105 ] simplifiying candidate #<alt (λ (x) (pow (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) 1))>
* * * * [misc]progress:  [ 6 / 105 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (+ (log (sqrt x)) (log (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 7 / 105 ] simplifiying candidate #<alt (λ (x) (exp (- (+ (log (* (sqrt x) (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 8 / 105 ] simplifiying candidate #<alt (λ (x) (exp (- (log (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 9 / 105 ] simplifiying candidate #<alt (λ (x) (exp (log (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 10 / 105 ] simplifiying candidate #<alt (λ (x) (log (exp (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 11 / 105 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))) (cbrt (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 12 / 105 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 13 / 105 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 14 / 105 ] simplifiying candidate #<alt (λ (x) (/ (- 1) (- (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 15 / 105 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 16 / 105 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 17 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) 1)))>
* * * * [misc]progress:  [ 18 / 105 ] simplifiying candidate #<alt (λ (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) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 19 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (* (sqrt (+ 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)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* * [misc]simplify:  iters left: 2 (427 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (* x x) (- x 1))) (- (+ x (+ x 1)) (* (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (* (sqrt (- (* x x) (- x 1))) (- (+ x (+ x 1)) (* (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 20 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- 1 x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- 1 x))))))
* * * * [misc]progress:  [ 21 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (* (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) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ -1 x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (* (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ -1 x)))))
* * * * [misc]progress:  [ 22 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (sqrt (- x 1)) (- (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* (sqrt (- x 1)) (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ -1 x)) (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ -1 x)) (- (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 23 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (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) (* (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 24 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (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))
* * [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 x) (sqrt (+ x 1))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))) (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 25 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))>
* [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 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- (* x x) (- x 1)))))
* * * * [misc]progress:  [ 26 / 105 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (- x 1))))>
* [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 2) to (λ (x) (* (/ 1 (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x -1))))
* * * * [misc]progress:  [ 27 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (pow (* x (+ x 1)) 1/2) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ 1 (* (pow (+ x (* x x)) 1/2) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 28 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (pow (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt x) (sqrt (+ x 1)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ 1 (* (pow (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 29 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (pow (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 30 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (exp (+ (log (sqrt x)) (log (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (log (sqrt x)) (log (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt x)) (log (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ 1 (* (exp (+ (log (sqrt x)) (log (sqrt (+ 1 x))))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 31 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (exp (log (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 32 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (log (exp (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 33 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (cbrt (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ 1 (* (cbrt (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x)) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 34 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 35 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (cbrt (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 36 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (sqrt (* x (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ 1 (* (sqrt (+ x (* x x))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 37 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt (* (sqrt x) (sqrt (+ x 1)))) (sqrt (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 38 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 39 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1)))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 40 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1)))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 41 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 42 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt 1)) (sqrt (+ x 1))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt 1)) (sqrt (+ 1 x))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 43 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 44 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) 1) (sqrt (+ x 1))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (* (* (sqrt x) 1) (sqrt (+ 1 x))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 45 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1)))) (+ (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 2 1 1) to (λ (x) (/ 1 (* (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 46 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1)))) (+ (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 2 1 1) to (λ (x) (/ 1 (* (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 47 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 48 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 49 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (- x 1))) (+ (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 2 1 2) to (λ (x) (/ 1 (* (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1))) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 50 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 51 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) 1)))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (pow (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) 1)))
* * * * [misc]progress:  [ 52 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) 1)))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (pow (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) 1)))
* * * * [misc]progress:  [ 53 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (pow (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) 1)))>
* * * * [misc]progress:  [ 54 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (exp (+ (+ (log (sqrt x)) (log (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (sqrt x)) (log (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (sqrt x) (sqrt (+ 1 x)))) (+ (log (sqrt x)) (log (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (exp (+ (log (+ (sqrt x) (sqrt (+ 1 x)))) (+ (log (sqrt x)) (log (sqrt (+ 1 x))))))))
* * * * [misc]progress:  [ 55 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (exp (+ (log (* (sqrt x) (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (+ (log (* (sqrt x) (sqrt (+ x 1)))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (sqrt x) (sqrt (+ x 1)))) (log (* (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (exp (+ (log (+ (sqrt x) (sqrt (+ x 1)))) (log (* (sqrt x) (sqrt (+ x 1))))))))
* * * * [misc]progress:  [ 56 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (exp (log (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 57 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (log (exp (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 58 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (cbrt (* (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (* (* (+ (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 (43 enodes)
* * [misc]simplify:  iters left: 4 (215 enodes)
* [exit]simplify:  Simplified to (* (* (* (sqrt (+ x 1)) (* (+ x 1) x)) (sqrt x)) (pow (+ (sqrt x) (sqrt (+ x 1))) 3))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (cbrt (* (* (* (sqrt (+ x 1)) (* (+ x 1) x)) (sqrt x)) (pow (+ (sqrt x) (sqrt (+ x 1))) 3)))))
* * * * [misc]progress:  [ 59 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (cbrt (* (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (* (* (* x (* (+ x 1) (sqrt x))) (sqrt (+ x 1))) (pow (+ (sqrt x) (sqrt (+ x 1))) 3))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (cbrt (* (* (* x (* (+ x 1) (sqrt x))) (sqrt (+ x 1))) (pow (+ (sqrt x) (sqrt (+ x 1))) 3)))))
* * * * [misc]progress:  [ 60 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (cbrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 61 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (cbrt (* (* (* (* (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 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 62 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))>
* * * * [misc]progress:  [ 63 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (229 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (sqrt x) (+ x 1)) (sqrt (+ x 1))) (* x x)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (+ (* (* (sqrt x) (+ x 1)) (sqrt (+ x 1))) (* x x)) (sqrt (+ 1 (pow x 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (* (sqrt (+ 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)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* * [misc]simplify:  iters left: 2 (427 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (* x x) (- x 1))) (- (+ x (+ x 1)) (* (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (/ (* (+ (* (* (sqrt x) (+ x 1)) (sqrt (+ x 1))) (* x x)) (sqrt (+ 1 (pow x 3)))) (* (sqrt (- (* x x) (- x 1))) (- (+ x (+ x 1)) (* (sqrt (+ x 1)) (sqrt x)))))))
* * * * [misc]progress:  [ 64 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (- (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* [exit]simplify:  Simplified to (* (sqrt x) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (sqrt x) (sqrt (+ 1 (pow x 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (- (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- 1 x))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (/ (* (sqrt x) (sqrt (+ 1 (pow x 3)))) (* (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- 1 x)))))))
* * * * [misc]progress:  [ 65 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (* (sqrt (- x 1)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (269 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (* x x) 1)) (+ (* (* (+ 1 x) (sqrt x)) (sqrt (+ 1 x))) (* x x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (sqrt (- (* x x) 1)) (+ (* (* (+ 1 x) (sqrt x)) (sqrt (+ 1 x))) (* x x))) (* (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) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ -1 x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (/ (* (sqrt (- (* x x) 1)) (+ (* (* (+ 1 x) (sqrt x)) (sqrt (+ 1 x))) (* x x))) (* (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ -1 x))))))
* * * * [misc]progress:  [ 66 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (* (sqrt (- x 1)) (- (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* x x) -1)) (sqrt x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (sqrt (+ (* x x) -1)) (sqrt x)) (* (sqrt (- x 1)) (- (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (* (sqrt (- x 1)) (- (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ -1 x)) (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (/ (* (sqrt (+ (* x x) -1)) (sqrt x)) (* (sqrt (+ -1 x)) (- (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 67 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 68 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (+ (* (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt x) (sqrt (+ x 1))) (sqrt x)))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (sqrt x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ x 1)) x)
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (+ (* (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (sqrt (+ x 1)) x))))
* * * * [misc]progress:  [ 69 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (+ (* (sqrt (+ x 1)) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (* (sqrt x) (sqrt (+ x 1)))))))>
* [enter]simplify:  Simplifying (* (sqrt x) (* (sqrt x) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ x 1)) x)
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (+ (* (sqrt (+ x 1)) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt (+ x 1)) x))))
* * * * [misc]progress:  [ 70 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) (* (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 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 71 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) (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 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 72 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 73 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2 2) to (λ (x) (/ 1 (* (* (* (sqrt x) (sqrt (+ x 1))) 1) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 74 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (sqrt x) (* (sqrt (+ x 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 2 1) to (λ (x) (/ 1 (* (sqrt x) (* (sqrt (+ x 1)) (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 75 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ x 1))) (+ (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 2) to (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ x 1))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 76 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (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))
* * [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 2) to (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ x 1))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 77 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (* (+ (sqrt x) (sqrt (+ x 1))) (sqrt x)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (* (+ (sqrt x) (sqrt (+ x 1))) (sqrt x)) (sqrt (+ 1 (pow x 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))
* * * * [misc]progress:  [ 78 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (- x 1)))))>
* [enter]simplify:  Simplifying (* (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* x x) -1)) (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (sqrt (+ (* x x) -1)) (* (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt x))) (sqrt (- x 1)))))
* * * * [misc]progress:  [ 79 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (+ (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 80 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (pow (+ x 1) 1/2) (sqrt x)))))>
* * * * [misc]progress:  [ 81 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (pow (sqrt (+ x 1)) 1) (sqrt x)))))>
* * * * [misc]progress:  [ 82 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (exp (log (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 83 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (log (exp (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 84 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 85 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 86 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ 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 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))) (sqrt x)))))
* * * * [misc]progress:  [ 87 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (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 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* * * * [misc]progress:  [ 88 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt 1) (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 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* 1 (sqrt (+ x 1))) (sqrt x)))))
* * * * [misc]progress:  [ 89 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt x)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt x)))))
* * * * [misc]progress:  [ 90 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (/ (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (sqrt x)))))>
* [enter]simplify:  Simplifying (sqrt (- (* x x) (* 1 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x)))))
* * * * [misc]progress:  [ 91 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 92 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (fabs (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 2 2 1 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (fabs (sqrt (+ 1 x))) (sqrt x)))))
* * * * [misc]progress:  [ 93 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* 1 (sqrt (+ x 1))) (sqrt x)))))>
* * * * [misc]progress:  [ 94 / 105 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 95 / 105 ] 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:  [ 96 / 105 ] 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:  [ 97 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ 1 (* +nan.0 (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 98 / 105 ] simplifiying candidate #<alt (λ (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 2 1) to (λ (x) (/ 1 (* +nan.0 (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 99 / 105 ] simplifiying candidate #<alt (λ (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 2 1) to (λ (x) (/ 1 (* +nan.0 (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 100 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ 1 +nan.0))
* * * * [misc]progress:  [ 101 / 105 ] 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:  [ 102 / 105 ] 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:  [ 103 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8)) (sqrt x)))))
* * * * [misc]progress:  [ 104 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ +nan.0 (sqrt x)))))
* * * * [misc]progress:  [ 105 / 105 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (sqrt x)))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ +nan.0 (sqrt x)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (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)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [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 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +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 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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) 1))) 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) 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 (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 (+ (* 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 (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)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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)) 1))) 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)) 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 (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 (+ (* 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 (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 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.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 (/ +nan.0 1) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.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 (/ +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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ (- +nan.0) 1) (+ (* +nan.0 (/ (- +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 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) 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 (+ 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) (+ (* +nan.0 (/ (- +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) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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 +nan.0) (* +nan.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 (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 (- +nan.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 (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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 +nan.0) (* +nan.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 (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 (- +nan.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 (+ +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 (+ (* 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 (/ (- +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 (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 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +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 (/ (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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 +nan.0) (* +nan.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 (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 (- +nan.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 (+ +nan.0 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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 +nan.0) (* +nan.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 (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 (- +nan.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 (+ +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 (+ (* 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 (/ (- +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 (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 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +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)
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (sqrt x) (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt x) (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) 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 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 (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/2) (* +nan.0 1)) 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 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 (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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 +nan.0) (* +nan.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 (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 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) 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) 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 +nan.0) (* +nan.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 (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 (- +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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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)) (* 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 (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 (/ (- +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 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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 +nan.0) (* +nan.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 (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 (- +nan.0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) 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)) 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 +nan.0) (* +nan.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 (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 (- +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 (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 (- 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 (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 (/ (- +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:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (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 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (pow (* x (+ x 1)) 1/2)) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 1 (pow (+ x (* x x)) 1/2)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 2 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (pow (* (sqrt x) (sqrt (+ x 1))) 1)) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt x) (sqrt (+ x 1)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 1 (pow (* (sqrt x) (sqrt (+ x 1))) 1)) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 3 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (pow (* (sqrt x) (sqrt (+ x 1))) 1)) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 4 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (exp (+ (log (sqrt x)) (log (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt x)) (log (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt x)) (log (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 1 (exp (+ (log (sqrt x)) (log (sqrt (+ 1 x)))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 5 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (exp (log (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 6 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (log (exp (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 7 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (cbrt (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (370 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 1 (cbrt (* (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 8 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) (cbrt (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 9 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (cbrt (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 10 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (sqrt (* x (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (* x (+ x 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ x (* x x))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 1 (sqrt (+ x (* x x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 11 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt (* (sqrt x) (sqrt (+ x 1)))) (sqrt (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 12 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 13 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ x 1))))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (cbrt (sqrt (+ 1 x))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 14 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1))))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ 1 x))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 15 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 16 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt 1)) (sqrt (+ x 1)))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt 1)) (sqrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 17 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 18 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) 1) (sqrt (+ x 1)))) (+ (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 2 2) to (λ (x) (/ (/ 1 (* (* (sqrt x) 1) (sqrt (+ 1 x)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 19 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1))))) (+ (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) (/ (/ 1 (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 20 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1))))) (+ (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) (/ (/ 1 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 21 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 22 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (+ (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 2 2) to (λ (x) (/ (/ 1 (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (- (* x x) (- x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 23 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (- x 1)))) (+ (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 2 2) to (λ (x) (/ (/ 1 (/ (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) (sqrt (+ x -1)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 24 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 25 / 120 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))) 1))>
* * * * [misc]progress:  [ 26 / 120 ] simplifiying candidate #<alt (λ (x) (exp (- (- (+ (log (sqrt x)) (log (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (- (+ (log (sqrt x)) (log (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (- (- (- (log (sqrt x))) (log (sqrt (+ 1 x)))) (log (+ (sqrt x) (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (- (- (log (sqrt x))) (log (sqrt (+ 1 x)))) (log (+ (sqrt x) (sqrt (+ 1 x)))))))
* * * * [misc]progress:  [ 27 / 120 ] simplifiying candidate #<alt (λ (x) (exp (- (- (log (* (sqrt x) (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (- (log (* (sqrt x) (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (- (- (- (log (sqrt x))) (log (sqrt (+ x 1)))) (log (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (- (- (log (sqrt x))) (log (sqrt (+ x 1)))) (log (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 28 / 120 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (log (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (log (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (- (log (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (log (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (log (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 29 / 120 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 30 / 120 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 31 / 120 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (pow (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) 3)))
* * * * [misc]progress:  [ 32 / 120 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 33 / 120 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 34 / 120 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 35 / 120 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (- (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 36 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 37 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 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 x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 38 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) 1) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 39 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) 1) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (/ (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 40 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 41 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 42 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) 1) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 43 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) 1) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 44 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (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)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 45 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (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)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 46 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 47 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 48 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (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)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 49 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (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)))) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 50 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 51 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 1 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 52 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1)))) (* (sqrt (+ 1 (pow x 3))) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1)))) (* (sqrt (+ 1 (pow x 3))) (sqrt x)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 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 (59 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (* x x) (- x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1)))) (* (sqrt (+ 1 (pow x 3))) (sqrt x)))) (/ (sqrt (- (* x x) (- x 1))) (cbrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 53 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 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 (59 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (* x x) (- x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (sqrt (+ (sqrt x) (sqrt (+ x 1))))) (/ (sqrt (- (* x x) (- x 1))) (sqrt (+ (sqrt x) (sqrt (+ x 1)))))))
* * * * [misc]progress:  [ 54 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) 1) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x x) (- 1 x))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (/ (sqrt (+ (* x x) (- 1 x))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 55 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) 1) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x x) (- 1 x))) (+ (sqrt x) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (/ (sqrt (+ (* x x) (- 1 x))) (+ (sqrt x) (sqrt (+ x 1))))))
* * * * [misc]progress:  [ 56 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (- x 1)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (- x 1)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (- x 1)) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ -1 x)) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (+ -1 x)) (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 57 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (- x 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt x)) (sqrt (- (* x x) 1))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ (/ 1 (sqrt x)) (sqrt (- (* x x) 1))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (- x 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (- x 1)) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ -1 x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ (/ 1 (sqrt x)) (sqrt (- (* x x) 1))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (+ -1 x)) (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 58 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) 1) (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ -1 x)) (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (/ (sqrt (+ -1 x)) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 59 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) 1) (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (- x 1)) (+ (sqrt (+ x 1)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ -1 x)) (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt x)) (sqrt (+ (* x x) -1))) (/ (sqrt (+ -1 x)) (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 60 / 120 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 61 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 62 / 120 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (/ 1 (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 63 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (* (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) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 64 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (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) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 65 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) 1) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) 1) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 66 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) 1) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) 1) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 67 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (cbrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))))))
* * * * [misc]progress:  [ 68 / 120 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (sqrt (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))))))
* * * * [misc]progress:  [ 69 / 120 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (/ 1 (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 70 / 120 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (sqrt (+ x 1)) (sqrt x)) (/ 1 (* (sqrt x) (sqrt (+ x 1)))))))>
* * * * [misc]progress:  [ 71 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (/ (/ 1 (sqrt x)) (sqrt (+ 1 (pow x 3)))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))
* * * * [misc]progress:  [ 72 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (- x 1)))))>
* [enter]simplify:  Simplifying (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt x)) (sqrt (- (* x x) 1)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (/ (/ 1 (sqrt x)) (sqrt (- (* x x) 1))) (/ (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (- x 1)))))
* * * * [misc]progress:  [ 73 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (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) (* (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (- (+ x (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 74 / 120 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 1 (* (sqrt x) (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))
* * [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 x) (sqrt (+ x 1)))) (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 75 / 120 ] simplifiying candidate #<alt (λ (x) (/ 1 (* (+ (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))))>
* * * * [misc]progress:  [ 76 / 120 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sqrt x) (sqrt (+ x 1))) -1) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 77 / 120 ] simplifiying candidate #<alt (λ (x) (/ (pow (* x (+ x 1)) (- 1/2)) (+ (sqrt (+ x 1)) (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 1 2) to (λ (x) (/ (pow (* x (+ x 1)) -1/2) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 78 / 120 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sqrt x) (sqrt (+ x 1))) (- 1)) (+ (sqrt (+ x 1)) (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 1 2) to (λ (x) (/ (pow (* (sqrt x) (sqrt (+ x 1))) -1) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 79 / 120 ] simplifiying candidate #<alt (λ (x) (/ (pow (* (sqrt x) (sqrt (+ x 1))) (- 1)) (+ (sqrt (+ x 1)) (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 1 2) to (λ (x) (/ (pow (* (sqrt x) (sqrt (+ x 1))) -1) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 80 / 120 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ 1 (* (sqrt x) (sqrt (+ x 1)))) 1) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 81 / 120 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (+ (log (sqrt x)) (log (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 82 / 120 ] simplifiying candidate #<alt (λ (x) (/ (exp (- (log (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 83 / 120 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 84 / 120 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 85 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (cbrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 86 / 120 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 87 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1)))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 88 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1) (- (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 89 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 90 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 91 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (* (sqrt x) (sqrt (+ x 1))) 1)) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 92 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) (+ (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 2) to (λ (x) (/ (/ (/ 1 (sqrt x)) (sqrt (+ 1 x))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 93 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (+ (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 2) to (λ (x) (/ (* (/ 1 (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (- (* x x) (- x 1)))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 94 / 120 ] simplifiying candidate #<alt (λ (x) (/ (* (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (- x 1))) (+ (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 2) to (λ (x) (/ (* (/ 1 (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) (sqrt (+ x -1))) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 95 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (pow (+ x 1) 1/2) (sqrt x))))>
* * * * [misc]progress:  [ 96 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (pow (sqrt (+ x 1)) 1) (sqrt x))))>
* * * * [misc]progress:  [ 97 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (exp (log (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 98 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (log (exp (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 99 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 100 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 101 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (cbrt (+ 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 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 102 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (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 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 103 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (sqrt 1) (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 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* 1 (sqrt (+ x 1))) (sqrt x))))
* * * * [misc]progress:  [ 104 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (/ (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow x 3) (pow 1 3)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 105 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (/ (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (- (* x x) (* 1 1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x))))
* * * * [misc]progress:  [ 106 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 107 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (fabs (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 2 1 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (fabs (sqrt (+ 1 x))) (sqrt x))))
* * * * [misc]progress:  [ 108 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* 1 (sqrt (+ x 1))) (sqrt x))))>
* * * * [misc]progress:  [ 109 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ 1 +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 110 / 120 ] simplifiying candidate #<alt (λ (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) (/ (/ 1 +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 111 / 120 ] simplifiying candidate #<alt (λ (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) (/ (/ 1 +nan.0) (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 112 / 120 ] simplifiying candidate #<alt (λ (x) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 113 / 120 ] 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:  [ 114 / 120 ] 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:  [ 115 / 120 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 116 / 120 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* +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) to (λ (x) (/ +nan.0 (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 117 / 120 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* +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) to (λ (x) (/ +nan.0 (+ (sqrt (+ x 1)) (sqrt x))))
* * * * [misc]progress:  [ 118 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (+ (+ 1 (* 1/2 x)) (* (* x x) -1/8)) (sqrt x))))
* * * * [misc]progress:  [ 119 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ +nan.0 (sqrt x))))
* * * * [misc]progress:  [ 120 / 120 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ +nan.0 (sqrt x))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))> #<alt (λ (x) (- (pow x -1/2) (/ 1 (sqrt (+ x 1)))))> #<alt (λ (x) (/ 1 (* (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))> #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))> #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (exp (log (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>)
* * * [misc]regime-changes:  Trying 1 branch expressions: (x)
* * * * [misc]regimes:  Trying to branch on x from (#<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))> #<alt (λ (x) (- (pow x -1/2) (/ 1 (sqrt (+ x 1)))))> #<alt (λ (x) (/ 1 (* (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x)))))))> #<alt (λ (x) (/ 1 (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))> #<alt (λ (x) (* (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ (sqrt (/ 1 (* (sqrt x) (sqrt (+ x 1))))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (exp (log (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (/ (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (+ (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (/ (/ 1 (* (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (cbrt (+ x 1))))) (+ (sqrt (+ x 1)) (sqrt x))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 2 256))>
* [enter]simplify:  Simplifying (* (/ 1 (* (sqrt x) (sqrt (+ x 1)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (* (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 124 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 62 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 31 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 15 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 7 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 3 of 3985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 3985 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 61 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 30 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 15 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 7 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 3 of 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 1974 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 31 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 15 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 7 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 3 of 1002 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 1002 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 15 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 7 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 3 of 506 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 506 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 8 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 2 of 257 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 257 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 2 of 133 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 133 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts for 55 points
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [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 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs