* [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:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 134 additional inputs, on iter 1 have 122 / 256
* * * * [misc]points:  Computing exacts on every 8 of 134 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 134 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 134 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 134 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 64 additional inputs, on iter 2 have 192 / 256
* * * * [misc]points:  Computing exacts on every 4 of 64 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 64 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 64 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 30 additional inputs, on iter 3 have 226 / 256
* * * * [misc]points:  Computing exacts for 30 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 17 additional inputs, on iter 4 have 239 / 256
* * * * [misc]points:  Computing exacts for 17 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 5 have 245 / 256
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 6 have 250 / 256
* * * * [misc]points:  Computing exacts for 6 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 7 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (- (sqrt (+ x 1)) (sqrt x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ x 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 1/2 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ -1/8 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (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 / 35 ] simplifiying candidate #<alt (λ (x) (log (/ (exp (sqrt (+ x 1))) (exp (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (exp (sqrt (+ x 1))) (exp (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (log (exp (- (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 2 / 35 ] simplifiying candidate #<alt (λ (x) (pow (- (sqrt (+ x 1)) (sqrt x)) 1))>
* * * * [misc]progress:  [ 3 / 35 ] simplifiying candidate #<alt (λ (x) (exp (log (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 4 / 35 ] simplifiying candidate #<alt (λ (x) (log (exp (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 5 / 35 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 6 / 35 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 7 / 35 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))))>
* * * * [misc]progress:  [ 8 / 35 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))))>
* * * * [misc]progress:  [ 9 / 35 ] simplifiying candidate #<alt (λ (x) (+ (sqrt (+ x 1)) (- (sqrt x))))>
* * * * [misc]progress:  [ 10 / 35 ] simplifiying candidate #<alt (λ (x) (* 1 (- (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 35 ] simplifiying candidate #<alt (λ (x) (/ (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* * * * [misc]progress:  [ 12 / 35 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))
* [enter]simplify:  Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))))
* * * * [misc]progress:  [ 13 / 35 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))
* [enter]simplify:  Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))))
* * * * [misc]progress:  [ 14 / 35 ] simplifiying candidate #<alt (λ (x) (* 1 (- (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt (+ x 1)) (sqrt x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 15 / 35 ] simplifiying candidate #<alt (λ (x) (+ (sqrt (+ x 1)) (- (sqrt x))))>
* * * * [misc]progress:  [ 16 / 35 ] simplifiying candidate #<alt (λ (x) (- (pow (+ x 1) 1/2) (sqrt x)))>
* * * * [misc]progress:  [ 17 / 35 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt (+ x 1)) 1) (sqrt x)))>
* * * * [misc]progress:  [ 18 / 35 ] simplifiying candidate #<alt (λ (x) (- (exp (log (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 19 / 35 ] simplifiying candidate #<alt (λ (x) (- (log (exp (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 20 / 35 ] simplifiying candidate #<alt (λ (x) (- (* (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 21 / 35 ] simplifiying candidate #<alt (λ (x) (- (cbrt (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 22 / 35 ] simplifiying candidate #<alt (λ (x) (- (* (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 1 1) to (λ (x) (- (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 23 / 35 ] simplifiying candidate #<alt (λ (x) (- (* (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 1 1) to (λ (x) (- (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 24 / 35 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt 1) (sqrt (+ x 1))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt 1) (sqrt (+ x 1))) (sqrt x)))
* * * * [misc]progress:  [ 25 / 35 ] simplifiying candidate #<alt (λ (x) (- (/ (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 1 1) to (λ (x) (- (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 26 / 35 ] simplifiying candidate #<alt (λ (x) (- (/ (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 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x)))
* * * * [misc]progress:  [ 27 / 35 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 28 / 35 ] simplifiying candidate #<alt (λ (x) (- (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 1 1) to (λ (x) (- (fabs (sqrt (+ 1 x))) (sqrt x)))
* * * * [misc]progress:  [ 29 / 35 ] simplifiying candidate #<alt (λ (x) (- (* 1 (sqrt (+ x 1))) (sqrt x)))>
* * * * [misc]progress:  [ 30 / 35 ] simplifiying candidate #<alt (λ (x) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 31 / 35 ] 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:  [ 32 / 35 ] 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:  [ 33 / 35 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x)) (sqrt x)))
* * * * [misc]progress:  [ 34 / 35 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* +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 1) to (λ (x) (- +nan.0 (sqrt x)))
* * * * [misc]progress:  [ 35 / 35 ] simplifiying candidate #<alt (λ (x) (- (- (+ (* +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 1) to (λ (x) (- +nan.0 (sqrt x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (sqrt (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 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [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 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 1)) into 1/2
* [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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) (- +nan.0)) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (- (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) 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 (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- (pow (sqrt +nan.0) 2) +nan.0))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))))
* [misc]approximate:  Taking taylor expansion of (- (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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 (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) (- +nan.0)) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (- (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) 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 (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- (pow (sqrt +nan.0) 2) +nan.0))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +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 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify -3/32 into -3/32
* [misc]backup-simplify:  Simplify (+ (* -3/32 (pow x 2)) (+ (* 1/4 x) 1)) into (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify -3/32 into -3/32
* [misc]backup-simplify:  Simplify (+ (* -3/32 (pow x 2)) (+ (* 1/4 x) 1)) into (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 105 ] simplifiying candidate #<alt (λ (x) (log (/ (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (exp (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (exp (sqrt x)))
* * [misc]simplify:  iters left: 6 (10 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 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (log (exp (- (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 2 / 105 ] simplifiying candidate #<alt (λ (x) (pow (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) 1))>
* * * * [misc]progress:  [ 3 / 105 ] simplifiying candidate #<alt (λ (x) (exp (log (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 4 / 105 ] simplifiying candidate #<alt (λ (x) (log (exp (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 5 / 105 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (cbrt (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 6 / 105 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 7 / 105 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (sqrt (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 8 / 105 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 3) (pow (sqrt x) 3)) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (+ (* (sqrt x) (sqrt x)) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 9 / 105 ] simplifiying candidate #<alt (λ (x) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (sqrt x))))>
* * * * [misc]progress:  [ 10 / 105 ] simplifiying candidate #<alt (λ (x) (* 1 (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 105 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 12 / 105 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))>
* [enter]simplify:  Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))))
* [enter]simplify:  Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x)))))
* * * * [misc]progress:  [ 13 / 105 ] simplifiying candidate #<alt (λ (x) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (sqrt x))))>
* * * * [misc]progress:  [ 14 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (pow (sqrt (+ 1 x)) (+ 1/2 1/2)) (sqrt x)))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x)))
* * * * [misc]progress:  [ 15 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt (sqrt (+ x 1))) (+ 1 1)) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (pow (sqrt (sqrt (+ 1 x))) (+ 1 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 1)
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (pow (sqrt (sqrt (+ x 1))) (+ 1 1)) (sqrt x)))
* * * * [misc]progress:  [ 16 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1/2) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (pow (+ 1 x) 1/2) (sqrt x)))
* * * * [misc]progress:  [ 17 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (pow (sqrt (+ 1 x)) 1) (sqrt x)))
* * * * [misc]progress:  [ 18 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt (sqrt (+ x 1))) 2) (sqrt x)))>
* * * * [misc]progress:  [ 19 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt (sqrt (+ x 1))) (+ 1 1)) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 x)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (pow (sqrt (sqrt (+ 1 x))) (+ 1 1)) (sqrt x)))
* * * * [misc]progress:  [ 20 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x)))>
* * * * [misc]progress:  [ 21 / 105 ] simplifiying candidate #<alt (λ (x) (- (exp (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (exp (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))) (sqrt x)))
* * * * [misc]progress:  [ 22 / 105 ] simplifiying candidate #<alt (λ (x) (- (exp (log (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 23 / 105 ] simplifiying candidate #<alt (λ (x) (- (log (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 24 / 105 ] simplifiying candidate #<alt (λ (x) (- (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (cbrt (* (sqrt (+ 1 x)) (+ 1 x))) (sqrt x)))
* * * * [misc]progress:  [ 25 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 26 / 105 ] simplifiying candidate #<alt (λ (x) (- (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 27 / 105 ] simplifiying candidate #<alt (λ (x) (- (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (sqrt (+ 1 x)) (sqrt x)))
* * * * [misc]progress:  [ 28 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 29 / 105 ] simplifiying candidate #<alt (λ (x) (- (sqrt (+ x 1)) (sqrt x)))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (sqrt (+ 1 x)) (sqrt x)))
* * * * [misc]progress:  [ 30 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (sqrt (+ 1 (pow x 3))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- 1 x) (* x x)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (- 1 x) (* x x)))) (sqrt x)))
* * * * [misc]progress:  [ 31 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x)))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 32 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 33 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (sqrt (- (* x x) 1)) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x)))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x)))
* * * * [misc]progress:  [ 34 / 105 ] simplifiying candidate #<alt (λ (x) (- (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* * * * [misc]progress:  [ 35 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 36 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 37 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 38 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 39 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 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 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ 1 x)))) (sqrt x)))
* * * * [misc]progress:  [ 40 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 41 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt 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 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) (sqrt x)))
* * * * [misc]progress:  [ 42 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 43 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) 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 1 2) to (λ (x) (- (* (* (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ 1 x)))) (sqrt x)))
* * * * [misc]progress:  [ 44 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 45 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (fabs (cbrt (sqrt (+ 1 x)))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 46 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt (fabs (cbrt (+ 1 x)))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 47 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 48 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 49 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 50 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 51 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 52 / 105 ] simplifiying candidate #<alt (λ (x) (- (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* * * * [misc]progress:  [ 53 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 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 (sqrt (- (* x x) (- x 1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (- (* x x) (- x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 54 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- x 1)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 1))))) (sqrt (sqrt (- x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 55 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 56 / 105 ] simplifiying candidate #<alt (λ (x) (- (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (- x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 57 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 58 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (pow (sqrt (+ x 1)) 1/2)) (sqrt x)))>
* * * * [misc]progress:  [ 59 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (pow (sqrt (sqrt (+ x 1))) 1)) (sqrt x)))>
* * * * [misc]progress:  [ 60 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (exp (log (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 61 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (log (exp (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 62 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (cbrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 63 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (cbrt (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 64 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (cbrt (sqrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (fabs (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (sqrt (+ x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 65 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (sqrt (cbrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (fabs (cbrt (+ 1 x)))) (sqrt (sqrt (cbrt (+ x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 66 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 67 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 68 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))
* * * * [misc]progress:  [ 69 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt 1) (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt 1) (sqrt (sqrt (+ x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 70 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x)))
* * * * [misc]progress:  [ 71 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- x 1))))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (* x x) 1)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x 1))))) (sqrt x)))
* * * * [misc]progress:  [ 72 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x)))>
* * * * [misc]progress:  [ 73 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (fabs (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 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (fabs (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 74 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (fabs (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 1 2 1) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (fabs (sqrt (sqrt (+ 1 x))))) (sqrt x)))
* * * * [misc]progress:  [ 75 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (* 1 (sqrt (sqrt (+ x 1))))) (sqrt x)))>
* * * * [misc]progress:  [ 76 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (pow (sqrt (+ x 1)) 1/2) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 77 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (pow (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 78 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (exp (log (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 79 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (log (exp (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 80 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 81 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (cbrt (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 82 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (fabs (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 83 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (sqrt (fabs (cbrt (+ 1 x)))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 84 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 85 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 86 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 87 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt 1) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (* (sqrt 1) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 88 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (/ (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (/ (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 89 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (/ (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (* x x) 1)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x) (- (* (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 90 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 91 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (fabs (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 1 1 1) to (λ (x) (- (* (fabs (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 92 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (fabs (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 1 1 1) to (λ (x) (- (* (fabs (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 93 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (* 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* * * * [misc]progress:  [ 94 / 105 ] simplifiying candidate #<alt (λ (x) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 95 / 105 ] simplifiying candidate #<alt (λ (x) (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +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) (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +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) (- (- (+ (* 1/2 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x)) (sqrt x)))
* * * * [misc]progress:  [ 98 / 105 ] simplifiying candidate #<alt (λ (x) (- (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- +nan.0 (sqrt x)))
* * * * [misc]progress:  [ 99 / 105 ] simplifiying candidate #<alt (λ (x) (- (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (- +nan.0 (sqrt x)))
* * * * [misc]progress:  [ 100 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))) (sqrt x)))
* * * * [misc]progress:  [ 101 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) +nan.0) (sqrt x)))
* * * * [misc]progress:  [ 102 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (sqrt (sqrt (+ x 1))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (- (* (sqrt (sqrt (+ x 1))) +nan.0) (sqrt x)))
* * * * [misc]progress:  [ 103 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x)) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 104 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* +nan.0 (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * * [misc]progress:  [ 105 / 105 ] simplifiying candidate #<alt (λ (x) (- (* (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) (sqrt (sqrt (+ x 1)))) (sqrt x)))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (- (* +nan.0 (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 1)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 1)) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 1/2) (* 1/2 1)) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 1))) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8
* [misc]backup-simplify:  Simplify (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 1))) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 1 -1/8) (+ (* 1/2 1/2) (* -1/8 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* 1 x) 1)) into (- (+ x 1) (* +nan.0 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1))))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1))))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1))))) (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 2) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 4)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 4) (- +nan.0)) into (- (pow (sqrt +nan.0) 4) +nan.0)
* [misc]backup-simplify:  Simplify (- (pow (sqrt +nan.0) 4) +nan.0) into (- (pow (sqrt +nan.0) 4) +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) (- +nan.0)) (* (- +nan.0) (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (- +nan.0)) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (+ (* (- +nan.0) (- +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (sqrt +nan.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (- +nan.0)) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 x)) (- (pow (sqrt +nan.0) 4) +nan.0))) into (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1))))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1))))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1))))) (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 2) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 4)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 4) (- +nan.0)) into (- (pow (sqrt +nan.0) 4) +nan.0)
* [misc]backup-simplify:  Simplify (- (pow (sqrt +nan.0) 4) +nan.0) into (- (pow (sqrt +nan.0) 4) +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) (- +nan.0)) (* (- +nan.0) (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (- +nan.0)) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (+ (* (- +nan.0) (- +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (sqrt +nan.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (- +nan.0)) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (/ 1 (- x))) (- (pow (sqrt +nan.0) 4) +nan.0))) into (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0)))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt x) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 4)) (+ (* (- +nan.0) (pow x 3)) (* (- +nan.0) (pow x 2)))) into (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 137 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (exp (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (/ (exp (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (exp (* (sqrt x) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to E
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 2 / 137 ] simplifiying candidate #<alt (λ (x) (/ (pow (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) 1) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 3 / 137 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 4 / 137 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 5 / 137 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (cbrt (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (cbrt (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 6 / 137 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 7 / 137 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (sqrt (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 8 / 137 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) 3) (pow (* (sqrt x) (sqrt x)) 3)) (+ (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (+ (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 9 / 137 ] simplifiying candidate #<alt (λ (x) (/ (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 10 / 137 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 137 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x)))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 12 / 137 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (/ (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (* (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ 1 x)) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 13 / 137 ] simplifiying candidate #<alt (λ (x) (/ (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 14 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow x (+ 1/2 1/2))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow x (+ 1/2 1/2))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 15 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) (+ 1 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) (+ 1 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (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 1)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) (+ 1 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 16 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (* x x) 1/2)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (* x x) 1/2)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 17 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt x) (sqrt x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to x
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow x 1)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 18 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) 2)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 19 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) (+ 1 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (sqrt x) (+ 1 1))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 20 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (pow (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 21 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (exp (+ (log (sqrt x)) (log (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt x)) (log (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt x)) (log (sqrt x)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (exp (+ (log (sqrt x)) (log (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 22 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (exp (log (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 23 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (log (exp (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 24 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (pow x 3)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (pow x 3))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 25 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x)))) (cbrt (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 26 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 27 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* x x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* x x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 28 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 29 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) x) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 30 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* 1 (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 31 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (cbrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 32 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) (sqrt (sqrt x))) (sqrt (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) (sqrt (sqrt x))) (sqrt (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 33 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) 1) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt x)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (sqrt x) 1) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 34 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt x)) (cbrt (sqrt x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt x)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 35 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt x))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 36 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* 1 (* (sqrt x) (sqrt x)))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 37 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 38 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (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) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ 1 x)) (+ 1/2 1/2)) (sqrt x))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x))))
* * * * [misc]progress:  [ 39 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 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) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ 1 x))) (+ 1 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 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 1)) (sqrt x))))
* * * * [misc]progress:  [ 40 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1/2) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (+ 1 x) 1/2) (sqrt x))))
* * * * [misc]progress:  [ 41 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (+ 1 x)) 1) (sqrt x))))
* * * * [misc]progress:  [ 42 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ x 1))) 2) (sqrt x))))>
* * * * [misc]progress:  [ 43 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 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) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (sqrt (sqrt (+ 1 x))) (+ 1 1)) (sqrt x))))
* * * * [misc]progress:  [ 44 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x))))>
* * * * [misc]progress:  [ 45 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (exp (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (exp (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))) (sqrt x))))
* * * * [misc]progress:  [ 46 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (exp (log (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 47 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (log (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 48 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (cbrt (* (sqrt (+ 1 x)) (+ 1 x))) (sqrt x))))
* * * * [misc]progress:  [ 49 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 50 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 51 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 52 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 53 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 54 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (sqrt (+ 1 (pow x 3))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- 1 x) (* x x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (- 1 x) (* x x)))) (sqrt x))))
* * * * [misc]progress:  [ 55 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 56 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 57 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (sqrt (- (* x x) 1)) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x))))
* * * * [misc]progress:  [ 58 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* * * * [misc]progress:  [ 59 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 60 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 61 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 62 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 63 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 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 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 64 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 65 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt 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 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 66 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 67 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) 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 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 68 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 69 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (fabs (cbrt (sqrt (+ 1 x)))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 70 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (fabs (cbrt (+ 1 x)))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 71 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 72 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 73 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 74 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 75 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 76 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* * * * [misc]progress:  [ 77 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 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 (sqrt (- (* x x) (- x 1))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (- (* x x) (- x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 78 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- x 1)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 1))))) (sqrt (sqrt (- x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 79 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 80 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (- x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 81 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 82 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (+ x 1)) (+ 1/2 1/2))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (+ x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (+ 1 x)) (+ 1/2 1/2))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (+ x 1)) (+ 1/2 1/2))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 83 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ x 1))) (+ 1 1))) (* (sqrt x) (sqrt x))) (+ (* (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 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ 1 x))) (+ 1 1))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (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 1)
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ x 1))) (+ 1 1))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 84 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1/2)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (+ 1 x) 1/2)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 85 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (+ 1 x)) 1)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 86 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ x 1))) 2)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 87 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ x 1))) (+ 1 1))) (* (sqrt x) (sqrt x))) (+ (* (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 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (sqrt (sqrt (+ 1 x))) (+ 1 1))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 88 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1)) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 89 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (exp (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (exp (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 90 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (exp (log (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 91 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (log (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 92 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (cbrt (* (sqrt (+ 1 x)) (+ 1 x)))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 93 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 94 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 95 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 96 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 97 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 98 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 (pow x 3))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- 1 x) (* x x)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (- 1 x) (* x x))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 99 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 100 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 101 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- (* x x) 1)) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- (* x x) 1)) (sqrt (- x 1)))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 102 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 103 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 104 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 105 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 106 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 107 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (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 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ 1 x))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 108 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 109 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt 1)) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (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 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt 1)) (sqrt (sqrt (+ 1 x))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 110 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 111 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (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 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ 1 x))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 112 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 113 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (fabs (cbrt (sqrt (+ 1 x)))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 114 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (fabs (cbrt (+ 1 x)))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 115 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 116 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 117 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 118 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 119 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 120 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 121 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 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 (sqrt (- (* x x) (- x 1))))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (- (* x x) (- x 1)))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 122 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 1))))) (sqrt (sqrt (- x 1))))) (* (sqrt x) (sqrt x))) (+ (* (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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- x 1)))
* [misc]simplify:  Simplified (2 1 1 2 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 1))))) (sqrt (sqrt (- x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 123 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 124 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (- x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 125 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 126 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (+ x 1) (* +nan.0 (pow x 2))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ x 1) (* +nan.0 (pow x 2)))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 127 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0))))))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 128 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0))))))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 4) (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) x)) (- +nan.0)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ +nan.0 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 129 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 4)))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) +nan.0) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 130 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) +nan.0) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 131 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) +nan.0) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 132 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (- (+ (* 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x)) (sqrt x))))
* * * * [misc]progress:  [ 133 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ +nan.0 (sqrt x))))
* * * * [misc]progress:  [ 134 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (+ +nan.0 (sqrt x))))
* * * * [misc]progress:  [ 135 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (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 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 136 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) +nan.0) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 137 / 137 ] simplifiying candidate #<alt (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (/ (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) +nan.0) (* (sqrt x) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify -3/32 into -3/32
* [misc]backup-simplify:  Simplify (+ (* -3/32 (pow x 2)) (+ (* 1/4 x) 1)) into (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ x 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify -3/32 into -3/32
* [misc]backup-simplify:  Simplify (+ (* -3/32 (pow x 2)) (+ (* 1/4 x) 1)) into (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 x) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 (* 2 (sqrt 1))) into 1/4
* [misc]taylor:  Taking taylor expansion of (sqrt x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 1/4) (* 1/4 1)) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 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 (/ (- -1/8 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [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 (pow 1/4 2) (+)) (* 2 1)) into -3/32
* [misc]backup-simplify:  Simplify (+ (* 1 -3/32) (+ (* 1/4 1/4) (* -3/32 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 1) (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) (sqrt (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 x) 1))) (sqrt (sqrt (+ (/ 1 x) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +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 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (/ (- +nan.0) (- (pow (sqrt +nan.0) 2) +nan.0))))) into (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) into (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) 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 (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) +nan.0) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (- (pow (sqrt +nan.0) 2) +nan.0))) (* (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (/ (- +nan.0) (- (pow (sqrt +nan.0) 2) +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))) into (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (/ 1 x)) (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)))) into (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]taylor:  Taking taylor expansion of (/ (log E) (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (log E) in x
* [misc]taylor:  Taking taylor expansion of E in x
* [misc]backup-simplify:  Simplify E into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (+ (/ 1 (- x)) 1))) (sqrt (sqrt (+ (/ 1 (- x)) 1)))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (/ 1 (- 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (pow (sqrt +nan.0) 2) +nan.0) into (- (pow (sqrt +nan.0) 2) +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) into (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (/ (- +nan.0) (- (pow (sqrt +nan.0) 2) +nan.0))))) into (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) into (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) 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 (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +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 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) +nan.0) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (- (pow (sqrt +nan.0) 2) +nan.0))) (* (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (/ (- +nan.0) (- (pow (sqrt +nan.0) 2) +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))) into (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (/ 1 (- x))) (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)))) into (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (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) (/ (log E) (+ (pow (sqrt (+ 1 x)) (+ 1/2 1/2)) (sqrt x))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x))))
* * * * [misc]progress:  [ 2 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 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) (/ (log E) (+ (pow (sqrt (sqrt (+ 1 x))) (+ 1 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 1)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 1)) (sqrt x))))
* * * * [misc]progress:  [ 3 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (* (sqrt (+ x 1)) (sqrt (+ x 1))) 1/2) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (pow (+ 1 x) 1/2) (sqrt x))))
* * * * [misc]progress:  [ 4 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (pow (sqrt (+ 1 x)) 1) (sqrt x))))
* * * * [misc]progress:  [ 5 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (sqrt (sqrt (+ x 1))) 2) (sqrt x))))>
* * * * [misc]progress:  [ 6 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (sqrt (sqrt (+ x 1))) (+ 1 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) (/ (log E) (+ (pow (sqrt (sqrt (+ 1 x))) (+ 1 1)) (sqrt x))))
* * * * [misc]progress:  [ 7 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 1) (sqrt x))))>
* * * * [misc]progress:  [ 8 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (exp (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (+ x 1)))) (log (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (exp (+ (log (sqrt (sqrt (+ 1 x)))) (log (sqrt (sqrt (+ 1 x)))))) (sqrt x))))
* * * * [misc]progress:  [ 9 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (exp (log (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 10 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (log (exp (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 11 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 x)) (+ 1 x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (cbrt (* (sqrt (+ 1 x)) (+ 1 x))) (sqrt x))))
* * * * [misc]progress:  [ 12 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 13 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (cbrt (* (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 14 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (sqrt (* (sqrt (+ x 1)) (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 15 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 16 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (sqrt (+ x 1)) (sqrt x))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 17 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (pow x 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (sqrt (+ 1 (pow x 3))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- 1 x) (* x x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (sqrt (+ 1 (pow x 3))) (sqrt (+ (- 1 x) (* x x)))) (sqrt x))))
* * * * [misc]progress:  [ 18 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- (* x x) (- x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 19 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ (pow x 3) (pow 1 3)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ (pow x 3) 1))) (sqrt (sqrt (- (* x x) 1)))) (* (sqrt (sqrt (+ (* x x) (- 1 x)))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 20 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1))))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- (* x x) (* 1 1)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* x x) 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (sqrt (- (* x x) 1)) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (- x 1))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (sqrt (- (* x x) 1)) (sqrt (- x 1))) (sqrt x))))
* * * * [misc]progress:  [ 21 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* * * * [misc]progress:  [ 22 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 23 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 24 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (sqrt (cbrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 25 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 26 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 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 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 27 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 28 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt 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 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 29 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 30 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) 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 2) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ 1 x)))) (sqrt x))))
* * * * [misc]progress:  [ 31 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (* (cbrt (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 32 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (fabs (cbrt (sqrt (+ 1 x)))) (* (sqrt (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 33 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (fabs (cbrt (+ 1 x)))) (* (sqrt (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 34 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 35 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 36 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 37 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt 1) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 38 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (sqrt (+ 1 x)))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 39 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* 1 (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* * * * [misc]progress:  [ 40 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 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 (sqrt (- (* x x) (- x 1))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ (pow x 3) (pow 1 3))))) (sqrt (sqrt (- (* x x) (- x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 41 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- x 1)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) (* 1 1))))) (sqrt (sqrt (- x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 42 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 43 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (- x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (/ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- (* x x) 1)))) (sqrt (sqrt (- x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 44 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 45 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (pow (sqrt (+ x 1)) 1/2)) (sqrt x))))>
* * * * [misc]progress:  [ 46 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (pow (sqrt (sqrt (+ x 1))) 1)) (sqrt x))))>
* * * * [misc]progress:  [ 47 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (exp (log (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 48 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (log (exp (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 49 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (cbrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 50 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (cbrt (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 51 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (cbrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (fabs (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (sqrt (+ x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 52 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (sqrt (cbrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (fabs (cbrt (+ 1 x)))) (sqrt (sqrt (cbrt (+ x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 53 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 54 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 55 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))
* * * * [misc]progress:  [ 56 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt 1) (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt 1) (sqrt (sqrt (+ x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 57 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1))))))) (sqrt x))))
* * * * [misc]progress:  [ 58 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- x 1))))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (* x x) 1)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x 1))))) (sqrt x))))
* * * * [misc]progress:  [ 59 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1)))))) (sqrt x))))>
* * * * [misc]progress:  [ 60 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (fabs (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 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (fabs (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 61 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (fabs (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 2 1) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (fabs (sqrt (sqrt (+ 1 x))))) (sqrt x))))
* * * * [misc]progress:  [ 62 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (* 1 (sqrt (sqrt (+ x 1))))) (sqrt x))))>
* * * * [misc]progress:  [ 63 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (pow (sqrt (+ x 1)) 1/2) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 64 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (pow (sqrt (sqrt (+ x 1))) 1) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 65 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (exp (log (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 66 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (log (exp (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 67 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 68 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (cbrt (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 69 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (fabs (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 70 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (sqrt (fabs (cbrt (+ 1 x)))) (sqrt (sqrt (cbrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 71 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 72 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 1))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 73 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (+ x 1))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 74 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt 1) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (* (sqrt 1) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 75 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (/ (sqrt (sqrt (+ (pow x 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (pow x 3) (pow 1 3))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (pow x 3))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (/ (sqrt (sqrt (+ 1 (pow x 3)))) (sqrt (sqrt (+ (* x x) (- (* 1 1) (* x 1)))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 76 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (/ (sqrt (sqrt (- (* x x) (* 1 1)))) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (* x x) (* 1 1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (* x x) 1)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (x) (/ (log E) (+ (* (/ (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 77 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (sqrt (+ x 1))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 78 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (fabs (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 1) to (λ (x) (/ (log E) (+ (* (fabs (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 79 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (fabs (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 1) to (λ (x) (/ (log E) (+ (* (fabs (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 80 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (* 1 (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* * * * [misc]progress:  [ 81 / 121 ] simplifiying candidate #<alt (λ (x) (pow (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) 1))>
* * * * [misc]progress:  [ 82 / 121 ] simplifiying candidate #<alt (λ (x) (exp (- (log (log E)) (log (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (- (log (log E)) (log (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (- (log 1) (log (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log 1) (log (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 83 / 121 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 84 / 121 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 85 / 121 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (log E) (log E)) (log E)) (* (* (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (* (log E) (log E)) (log E)) (* (* (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt x) (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (/ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt x) (sqrt (+ 1 x)))))))
* * * * [misc]progress:  [ 86 / 121 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 87 / 121 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 88 / 121 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (sqrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* * * * [misc]progress:  [ 89 / 121 ] simplifiying candidate #<alt (λ (x) (/ (- (log E)) (- (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 90 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (log E)) (cbrt (log E))) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (/ (cbrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log E)) (cbrt (log E))) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x)))))) (/ (cbrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x)))))) (/ (cbrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 91 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (log E)) (cbrt (log E))) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (/ (cbrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log E)) (cbrt (log E))) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (sqrt x) (sqrt (+ 1 x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (cbrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 92 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (log E)) (cbrt (log E))) 1) (/ (cbrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (log E)) (cbrt (log E))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt 1) (cbrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt 1) (cbrt 1)) (/ (cbrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (cbrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (cbrt 1) (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 93 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (log E)) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (/ (sqrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (log E)) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (log E)) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 94 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (/ (sqrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (sqrt (log E)) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))
* * * * [misc]progress:  [ 95 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (log E)) 1) (/ (sqrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* [enter]simplify:  Simplifying (/ (sqrt (log E)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (sqrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (sqrt (log E)) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 1) (+ (sqrt (+ x 1)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt 1) (/ (sqrt 1) (+ (sqrt (+ x 1)) (sqrt x)))))
* * * * [misc]progress:  [ 96 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (/ (log E) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 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))))) (/ (log E) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (log E) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) (/ 1 (cbrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 97 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (/ (log E) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ (log E) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))
* [enter]simplify:  Simplifying (/ (log E) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1 x)) (sqrt x))))))
* * * * [misc]progress:  [ 98 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (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 (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))
* [enter]simplify:  Simplifying (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 99 / 121 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 100 / 121 ] simplifiying candidate #<alt (λ (x) (* (log E) (/ 1 (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* * * * [misc]progress:  [ 101 / 121 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (log E))))>
* * * * [misc]progress:  [ 102 / 121 ] simplifiying candidate #<alt (λ (x) (/ (/ (log E) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (log E) (* (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 103 / 121 ] simplifiying candidate #<alt (λ (x) (/ (/ (log E) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (log E) (sqrt (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (sqrt (+ (sqrt (+ 1 x)) (sqrt x)))))
* * * * [misc]progress:  [ 104 / 121 ] simplifiying candidate #<alt (λ (x) (/ (/ (log E) 1) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (log E) 1) (+ (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 105 / 121 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (log E)) (cbrt (log E))) (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (cbrt (log E)))))>
* [enter]simplify:  Simplifying (* (cbrt (log E)) (cbrt (log E)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt 1) (cbrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (cbrt (log E)))))
* * * * [misc]progress:  [ 106 / 121 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (log E)) (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (sqrt (log E)))))>
* [enter]simplify:  Simplifying (sqrt (log E))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (sqrt 1) (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (sqrt (log E)))))
* * * * [misc]progress:  [ 107 / 121 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)) (log E))))>
* * * * [misc]progress:  [ 108 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (log E) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 3) (pow (sqrt x) 3))) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (* (sqrt x) (sqrt x)) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))>
* [enter]simplify:  Simplifying (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (- (* (sqrt x) (sqrt x)) (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (- (+ x (+ 1 x)) (* (sqrt x) (sqrt (+ 1 x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (log E) (+ (pow (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) 3) (pow (sqrt x) 3))) (- (+ x (+ 1 x)) (* (sqrt x) (sqrt (+ 1 x))))))
* * * * [misc]progress:  [ 109 / 121 ] simplifiying candidate #<alt (λ (x) (* (/ (log E) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 x)) (sqrt x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (log E) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (- (sqrt (+ 1 x)) (sqrt x))))
* * * * [misc]progress:  [ 110 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (- (+ (* 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (log E) (+ (- (+ 1 (* 1/2 x)) (* (* 1/8 x) x)) (sqrt x))))
* * * * [misc]progress:  [ 111 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (log E) (+ +nan.0 (sqrt x))))
* * * * [misc]progress:  [ 112 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x)))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (log E) (+ +nan.0 (sqrt x))))
* * * * [misc]progress:  [ 113 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))) (sqrt x))))
* * * * [misc]progress:  [ 114 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) +nan.0) (sqrt x))))
* * * * [misc]progress:  [ 115 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) +nan.0) (sqrt x))))
* * * * [misc]progress:  [ 116 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 x) 1) (* 3/32 (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* (- (+ 1 (* 1/4 x)) (* (* 3/32 x) x)) (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 117 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* +nan.0 (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 118 / 121 ] simplifiying candidate #<alt (λ (x) (/ (log E) (+ (* (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) (sqrt (sqrt (+ x 1)))) (sqrt x))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0)))))))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x) (/ (log E) (+ (* +nan.0 (sqrt (sqrt (+ x 1)))) (sqrt x))))
* * * * [misc]progress:  [ 119 / 121 ] simplifiying candidate #<alt (λ (x) (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2))))))>
* [enter]simplify:  Simplifying (- 1 (+ (* +nan.0 x) (- (* +nan.0 (pow x 2)))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 120 / 121 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * * [misc]progress:  [ 121 / 121 ] simplifiying candidate #<alt (λ (x) (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3))))))))))))>
* [enter]simplify:  Simplifying (- (/ 1 (- (pow (sqrt +nan.0) 2) +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (* (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2) (pow (sqrt +nan.0) 2))))) (- (+ (* +nan.0 (/ 1 (* x (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 2)))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (sqrt +nan.0) 2) +nan.0) 3)))))))))))
* [misc]simplify:  Simplified (2) to (λ (x) +nan.0)
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (x) (/ (cbrt (* (* (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x)))) (- (* (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (* (sqrt x) (sqrt x))))) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))> #<alt (λ (x) (* (sqrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (sqrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))> #<alt (λ (x) (/ (log E) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x))))> #<alt (λ (x) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))))> #<alt (λ (x) (cbrt (/ (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) (* (+ (sqrt x) (sqrt (+ 1 x))) (+ (sqrt x) (sqrt (+ 1 x)))))))> #<alt (λ (x) (- (* (fabs (cbrt (+ 1 x))) (sqrt (cbrt (+ x 1)))) (sqrt x)))> #<alt (λ (x) (/ (log E) (+ (cbrt (* (sqrt (+ 1 x)) (+ 1 x))) (sqrt x))))> #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (* (cbrt (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (sqrt (+ x 1)))))) (cbrt (sqrt (sqrt (+ x 1))))) (sqrt x))))> #<alt (λ (x) (/ (log E) (+ (* (* (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (cbrt (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt x))))> #<alt (λ (x) (/ (log E) (+ (* (* (sqrt (sqrt (+ x 1))) (sqrt (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (cbrt (sqrt (+ x 1))))) (sqrt x))))> #<alt (λ (x) (* (* (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x)))) (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))) (cbrt (/ (log E) (+ (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) (sqrt x))))))> #<alt (λ (x) (* (* (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x))))) (/ (cbrt 1) (cbrt (+ (sqrt x) (sqrt (+ 1 x)))))) (/ (cbrt 1) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 x +nan.0)) , with alts (#<alt (λ (x) (/ (log E) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x))))>)
* [enter]simplify:  Simplifying (/ (log E) (+ (pow (sqrt (+ x 1)) (+ 1/2 1/2)) (sqrt x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (pow (sqrt (+ 1 x)) (+ 1/2 1/2)) (sqrt x)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4021 additional inputs, on iter 1 have 3979 / 8000
* * * * [misc]points:  Computing exacts on every 251 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 4021 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4021 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2056 additional inputs, on iter 2 have 5944 / 8000
* * * * [misc]points:  Computing exacts on every 128 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 64 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 32 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 16 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 2056 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2056 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1022 additional inputs, on iter 3 have 6978 / 8000
* * * * [misc]points:  Computing exacts on every 63 of 1022 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 1022 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 1022 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 1022 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1022 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1022 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 499 additional inputs, on iter 4 have 7501 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 499 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 499 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 499 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 499 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 499 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 263 additional inputs, on iter 5 have 7737 / 8000
* * * * [misc]points:  Computing exacts on every 16 of 263 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 263 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 263 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 263 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 263 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 120 additional inputs, on iter 6 have 7880 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 120 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 54 additional inputs, on iter 7 have 7946 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 54 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 22 additional inputs, on iter 8 have 7978 / 8000
* * * * [misc]points:  Computing exacts for 22 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 14 additional inputs, on iter 9 have 7986 / 8000
* * * * [misc]points:  Computing exacts for 14 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 7 additional inputs, on iter 10 have 7993 / 8000
* * * * [misc]points:  Computing exacts for 7 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 11 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs