* [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:  Computing exacts on every 4 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 2 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 for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [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 (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify 5/24 into 5/24
* [misc]backup-simplify:  Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 21 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 2 / 21 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 3 / 21 ] simplifiying candidate #<alt (λ (x) (pow (/ 2 (+ (exp x) (exp (- x)))) 1))>
* * * * [misc]progress:  [ 4 / 21 ] simplifiying candidate #<alt (λ (x) (exp (log (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 5 / 21 ] simplifiying candidate #<alt (λ (x) (log (exp (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 6 / 21 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 7 / 21 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 8 / 21 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 9 / 21 ] simplifiying candidate #<alt (λ (x) (/ (- 2) (- (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 10 / 21 ] simplifiying candidate #<alt (λ (x) (* 1 (/ 2 (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 11 / 21 ] simplifiying candidate #<alt (λ (x) (* 2 (/ 1 (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 12 / 21 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ (exp x) (exp (- x))) 2)))>
* * * * [misc]progress:  [ 13 / 21 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (cbrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 14 / 21 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 15 / 21 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 16 / 21 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 17 / 21 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (387 enodes)
* [exit]simplify:  Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))))
* * * * [misc]progress:  [ 18 / 21 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (- (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (+ (/ (- 1) (exp x)) (exp x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x))))
* * * * [misc]progress:  [ 19 / 21 ] simplifiying candidate #<alt (λ (x) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))
* [misc]simplify:  Simplified (2) to (λ (x) (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x)))
* * * * [misc]progress:  [ 20 / 21 ] simplifiying candidate #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 21 / 21 ] simplifiying candidate #<alt (λ (x) (/ 2 (+ (exp (* -1 x)) (exp x))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp (* -1 x)) (exp 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)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- 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 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify 5/24 into 5/24
* [misc]backup-simplify:  Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify 5/24 into 5/24
* [misc]backup-simplify:  Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify (/ (- 5/24 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 7/96
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify (/ (- 5/24 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 7/96
* [misc]backup-simplify:  Simplify (+ (* 1 7/96) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 7/96 1))))) into 5/24
* [misc]backup-simplify:  Simplify 5/24 into 5/24
* [misc]backup-simplify:  Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 2 2) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
* [misc]backup-simplify:  Simplify -1/4 into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify (/ (- 5/24 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 7/96
* [misc]backup-simplify:  Simplify 7/96 into 7/96
* [misc]backup-simplify:  Simplify (+ (* 7/96 (pow x 4)) (+ (* -1/4 (pow x 2)) 1)) into (- (+ (* 7/96 (pow x 4)) 1) (* 1/4 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (log1p (expm1 (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 2 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 3 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (pow (/ 2 (+ (exp x) (exp (- x)))) 1))))>
* * * * [misc]progress:  [ 4 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (exp (log (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 5 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (log (exp (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 6 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 7 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (cbrt (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 8 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 9 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (- 2) (- (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 10 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* 1 (/ 2 (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 11 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* 2 (/ 1 (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 12 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 1 (/ (+ (exp x) (exp (- x))) 2)))))>
* * * * [misc]progress:  [ 13 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (cbrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 14 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 15 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 16 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 17 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (387 enodes)
* [exit]simplify:  Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))))))
* * * * [misc]progress:  [ 18 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (- (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (+ (/ (- 1) (exp x)) (exp x))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x))))))
* * * * [misc]progress:  [ 19 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (log1p (expm1 (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 20 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 21 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (pow (/ 2 (+ (exp x) (exp (- x)))) 1)) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 22 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (exp (log (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 23 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (log (exp (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 24 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 25 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (cbrt (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 26 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 27 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 2) (- (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 28 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* 1 (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 29 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* 2 (/ 1 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 30 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 1 (/ (+ (exp x) (exp (- x))) 2))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 31 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (cbrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 32 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 33 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 34 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ 2 1) (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 35 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (387 enodes)
* [exit]simplify:  Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 36 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (- (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (+ (/ (- 1) (exp x)) (exp x))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x)))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 37 / 107 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 38 / 107 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 39 / 107 ] simplifiying candidate #<alt (λ (x) (pow (/ 2 (+ (exp x) (exp (- x)))) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (pow (/ 2 (+ (exp x) (exp (- x)))) (+ 1/2 1/2)))
* [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) to (λ (x) (pow (/ 2 (+ (exp x) (exp (- x)))) (+ 1/2 1/2)))
* * * * [misc]progress:  [ 40 / 107 ] simplifiying candidate #<alt (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) (+ 1 1)))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [misc]simplify:  Simplified (2 2) to (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) (+ 1 1)))
* * * * [misc]progress:  [ 41 / 107 ] simplifiying candidate #<alt (λ (x) (pow (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) 1/2))>
* [enter]simplify:  Simplifying (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (pow (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) 1/2))
* * * * [misc]progress:  [ 42 / 107 ] simplifiying candidate #<alt (λ (x) (pow (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (pow (/ 2 (+ (exp x) (exp (- x)))) 1))
* * * * [misc]progress:  [ 43 / 107 ] simplifiying candidate #<alt (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) 2))>
* * * * [misc]progress:  [ 44 / 107 ] simplifiying candidate #<alt (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) (+ 1 1)))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) (+ 1 1)))
* * * * [misc]progress:  [ 45 / 107 ] simplifiying candidate #<alt (λ (x) (pow (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) 1))>
* * * * [misc]progress:  [ 46 / 107 ] simplifiying candidate #<alt (λ (x) (exp (+ (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 47 / 107 ] simplifiying candidate #<alt (λ (x) (exp (log (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 48 / 107 ] simplifiying candidate #<alt (λ (x) (log (exp (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 49 / 107 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (pow (/ 2 (+ (exp x) (exp (- x)))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (pow (/ 2 (+ (exp x) (exp (- x)))) 3)))
* * * * [misc]progress:  [ 50 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) (cbrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 51 / 107 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 52 / 107 ] simplifiying candidate #<alt (λ (x) (sqrt (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (sqrt (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 53 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 54 / 107 ] simplifiying candidate #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (+ (exp x) (exp (- x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 55 / 107 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt 2) (sqrt 2)) (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ 2 (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (+ (exp x) (exp (- x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 56 / 107 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 57 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 58 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))) (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 59 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 60 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 61 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) (sqrt (/ 1 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) (sqrt (/ 1 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 62 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))) (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))))
* * * * [misc]progress:  [ 63 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))) (sqrt (- (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (/ (- 1) (exp x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))) (sqrt (+ (exp x) (/ (- 1) (exp x))))))
* * * * [misc]progress:  [ 64 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 65 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) 1) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) 1) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 66 / 107 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 67 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) (* (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (fabs (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 68 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 69 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt 1) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt 1) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 70 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt 2) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt 2) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 71 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (* (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 72 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (sqrt (- (exp x) (exp (- x)))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x))))) (* (sqrt (- (exp x) (exp (- x)))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 73 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 74 / 107 ] simplifiying candidate #<alt (λ (x) (* 1 (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 75 / 107 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 76 / 107 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt 2) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt 2)) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 77 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 78 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (log1p (expm1 (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 79 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (expm1 (log1p (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 80 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (pow (/ 2 (+ (exp x) (exp (- x)))) 1/2)))>
* * * * [misc]progress:  [ 81 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (pow (sqrt (/ 2 (+ (exp x) (exp (- x))))) 1)))>
* * * * [misc]progress:  [ 82 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (exp (log (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 83 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (log (exp (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 84 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 85 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (* (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 86 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))) (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (fabs (cbrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 2 (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 87 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 88 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (/ 2 (+ (exp x) (exp (- 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) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 89 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 90 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 2 (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 91 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (422 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 2 (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x))))) (sqrt (- (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 92 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 93 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))))>
* * * * [misc]progress:  [ 94 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (fabs (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (fabs (sqrt (/ 2 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 95 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* 1 (sqrt (/ 2 (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 96 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))))))>
* [enter]simplify:  Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x)))))
* * * * [misc]progress:  [ 97 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 98 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp (* -1 x)) (exp x))))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp (* -1 x)) (exp 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)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 99 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (* (sqrt (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 100 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 101 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp (* -1 x)) (exp x)))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp (* -1 x)) (exp 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)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 102 / 107 ] simplifiying candidate #<alt (λ (x) (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))
* [misc]simplify:  Simplified (2) to (λ (x) (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x)))
* * * * [misc]progress:  [ 103 / 107 ] simplifiying candidate #<alt (λ (x) (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (/ (pow (sqrt 2) 2) (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp (- x)) (exp x)))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp (- x)) (exp x))))
* * * * [misc]progress:  [ 104 / 107 ] simplifiying candidate #<alt (λ (x) (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x))))>
* [enter]simplify:  Simplifying (/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 105 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (- (+ (* 7/96 (pow x 4)) 1) (* 1/4 (pow x 2)))))>
* [enter]simplify:  Simplifying (- (+ (* 7/96 (pow x 4)) 1) (* 1/4 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (- (fma 7/96 (pow x 4) 1) (* (* x 1/4) x))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (- (fma 7/96 (pow x 4) 1) (* (* x 1/4) x))))
* * * * [misc]progress:  [ 106 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 107 / 107 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (* (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt 2))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- 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)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3)))
* [misc]backup-simplify:  Simplify (- (/ 1 (pow (sqrt 2) 3))) into (- (/ 1 (pow (sqrt 2) 3)))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (/ 1 (pow (sqrt 2) 3))) (pow x 2)) (/ 2 (sqrt 2)))) into (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* 2 (sqrt (/ 1 (+ (exp x) (exp (- x))))))
* [misc]approximate:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (/ 2 (pow (sqrt 2) 2)) into (/ 2 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3)))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- (/ 1 (pow (sqrt 2) 3))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) (pow x 4)) (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (pow x 2)) (/ 2 (pow (sqrt 2) 2)))) into (- (+ (* 2 (/ (pow x 4) (pow (sqrt 2) 6))) (* 2 (/ 1 (pow (sqrt 2) 2)))) (+ (* 2 (/ (pow x 2) (pow (sqrt 2) 4))) (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 4)) (+ (* (/ 1/2 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (sqrt (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp x) (exp (- x))) in x
* [misc]taylor:  Taking taylor expansion of (exp x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (exp (- 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 (exp 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 1/2) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ 1/6 -1/6) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 1/24 1/24) into 1/12
* [misc]backup-simplify:  Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 4)) (+ (* (/ 1/2 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x))))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (sqrt (+ (exp x) (exp (- x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (exp (- (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 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 (- -1) into 1
* [misc]backup-simplify:  Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x))
* [misc]backup-simplify:  Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x)))
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 141 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 2 / 141 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 3 / 141 ] simplifiying candidate #<alt (λ (x) (/ (pow (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 4 / 141 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 5 / 141 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 6 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 7 / 141 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 8 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 9 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 2) (- (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 10 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 11 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* 2 (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 12 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 1 (/ (sqrt (+ (exp x) (exp (- x)))) 2)) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 13 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 14 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 15 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 16 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 17 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 18 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 19 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 1) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 1) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 20 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (* (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 21 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (/ (- 1) (exp x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (* (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (+ (exp x) (/ (- 1) (exp x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 22 / 141 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 23 / 141 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 24 / 141 ] simplifiying candidate #<alt (λ (x) (pow (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) 1))>
* * * * [misc]progress:  [ 25 / 141 ] simplifiying candidate #<alt (λ (x) (exp (- (log (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (- (log (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (- (log 2) (+ (log (sqrt (+ (exp x) (exp (- x))))) (log (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (exp (- (log 2) (+ (log (sqrt (+ (exp x) (exp (- x))))) (log (sqrt (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 26 / 141 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 27 / 141 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 28 / 141 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (x) (cbrt (pow (/ 2 (+ (exp (- x)) (exp x))) 3)))
* * * * [misc]progress:  [ 29 / 141 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 30 / 141 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 31 / 141 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 32 / 141 ] simplifiying candidate #<alt (λ (x) (/ (- (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (- (sqrt (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 33 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 34 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 35 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 36 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 37 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 1) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 38 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 39 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) 1) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 40 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 41 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 42 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 43 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 44 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 45 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 46 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) 1) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 47 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 48 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 49 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 50 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt 1)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt 1)) (/ 2 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 51 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt 1)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt 1)) (/ 2 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 52 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 53 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- 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 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 1 (/ 2 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 54 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 55 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ 2 (fabs (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 56 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 57 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt 1)) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt 1)) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (sqrt 1)) (/ 1 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 58 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt 1)) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt 1)) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (sqrt 1)) (/ 1 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 59 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 60 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 1) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1) to (λ (x) (* 2 (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* 2 (/ 1 (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 61 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 62 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (fabs (cbrt (+ (exp x) (exp (- x)))))) (sqrt (fma (exp x) (* (exp x) (exp x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (fabs (cbrt (+ (exp x) (exp (- x)))))) (sqrt (fma (exp x) (* (exp x) (exp x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (fabs (cbrt (+ (exp x) (exp (- x)))))) (sqrt (fma (exp x) (* (exp x) (exp x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 63 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (* (exp x) (exp x)) (exp x) (exp (- (- x) (+ x x)))))) (sqrt (sqrt (+ (exp (- x)) (exp x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (* (exp x) (exp x)) (exp x) (exp (- (- x) (+ x x)))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 64 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt 1)) (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 65 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt 1)) (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 66 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (* (exp x) (exp x)) (exp x) (exp (- (- x) (+ x x)))))) (sqrt (sqrt (+ (exp (- x)) (exp x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (* (exp x) (exp x)) (exp x) (exp (- (- x) (+ x x)))))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 67 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) 1) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (fma (exp x) (* (exp x) (exp x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (fma (exp x) (* (exp x) (exp x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) 1) (/ (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x)))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 68 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (439 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 69 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (404 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (* (exp x) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (* (exp x) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (* (exp x) (exp x))))) (fabs (cbrt (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 70 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (404 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 71 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (442 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt 1)) (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 72 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (442 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt 1)) (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt 1)) (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (exp (+ x x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 73 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (404 enodes)
* [exit]simplify:  Simplified to (/ (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 74 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) 1) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (393 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (fma (/ (- 1) (exp x)) (exp (- x)) (* (exp x) (exp x))))) (/ (sqrt (+ (/ (- 1) (exp x)) (exp x))) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 75 / 141 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 76 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 77 / 141 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 78 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 79 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 80 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 81 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 82 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 83 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 84 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 85 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 86 / 141 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 87 / 141 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2 (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 88 / 141 ] simplifiying candidate #<alt (λ (x) (/ 2 (/ (sqrt (+ (exp x) (exp (- x)))) (/ 1 (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 89 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (/ 2 (sqrt (fma (exp x) (exp (+ x x)) (exp (- (- x) (+ x x)))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 90 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x)))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (/ 2 (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 91 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (382 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))))
* * * * [misc]progress:  [ 92 / 141 ] simplifiying candidate #<alt (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (- (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (/ (- 1) (exp x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (+ (exp x) (/ (- 1) (exp x))))))
* * * * [misc]progress:  [ 93 / 141 ] simplifiying candidate #<alt (λ (x) (/ 2 (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 94 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (log1p (expm1 (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 95 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (expm1 (log1p (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 96 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (hypot (sqrt (exp x)) (sqrt (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (exp x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp x))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (hypot (sqrt (exp x)) (sqrt (exp (- x))))))
* * * * [misc]progress:  [ 97 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (pow (+ (exp x) (exp (- x))) 1/2)))>
* * * * [misc]progress:  [ 98 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (pow (sqrt (+ (exp x) (exp (- x)))) 1)))>
* * * * [misc]progress:  [ 99 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (exp (log (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 100 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (log (exp (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 101 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 102 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 103 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (fabs (cbrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 104 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))
* * * * [misc]progress:  [ 105 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- 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) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 106 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- 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) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 107 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (+ x x)) (exp x) (exp (- (- x) (+ x x)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (fma (exp (+ x x)) (exp x) (exp (- (- x) (+ x x))))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))))
* * * * [misc]progress:  [ 108 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (sqrt (- (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (415 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x)))) (sqrt (- (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 109 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))))>
* * * * [misc]progress:  [ 110 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (fabs (sqrt (+ (exp x) (exp (- x)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (fabs (sqrt (+ (exp x) (exp (- x)))))))
* * * * [misc]progress:  [ 111 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* 1 (sqrt (+ (exp x) (exp (- x)))))))>
* * * * [misc]progress:  [ 112 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (log1p (expm1 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 113 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (expm1 (log1p (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 114 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (hypot (sqrt (exp x)) (sqrt (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (exp x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp x))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (hypot (sqrt (exp x)) (sqrt (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 115 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (pow (+ (exp x) (exp (- x))) 1/2)) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 116 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (pow (sqrt (+ (exp x) (exp (- x)))) 1)) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 117 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (exp (log (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 118 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (log (exp (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 119 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 120 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (cbrt (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 121 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (fabs (cbrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 122 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (exp x) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (exp x) (exp (- x)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 123 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- 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) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 124 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- 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) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 125 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (/ (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (+ x x)) (exp x) (exp (- (- x) (+ x x)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (/ (sqrt (fma (exp (+ x x)) (exp x) (exp (- (- x) (+ x x))))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 126 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (/ (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (sqrt (- (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (415 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (/ (sqrt (fma (exp (- x)) (/ (- 1) (exp x)) (exp (+ x x)))) (sqrt (- (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 127 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 128 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (fabs (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (fabs (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 129 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (* 1 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* * * * [misc]progress:  [ 130 / 141 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (- (fma 3/4 (/ (pow x 4) (pow (sqrt 2) 5)) (/ 2 (sqrt 2))) (fma 1/12 (/ (pow x 4) (* 2 (sqrt 2))) (/ (/ x (sqrt 2)) (/ 2 x))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (- (fma 3/4 (/ (pow x 4) (pow (sqrt 2) 5)) (/ 2 (sqrt 2))) (fma 1/12 (/ (pow x 4) (* 2 (sqrt 2))) (/ (/ x (sqrt 2)) (/ 2 x)))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 131 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* 2 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (* 2 (sqrt (/ 1 (+ (exp x) (exp (- x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* 2 (sqrt (/ 1 (+ (exp x) (exp (- x))))))
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* 2 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 132 / 141 ] simplifiying candidate #<alt (λ (x) (/ (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ (exp (- x)) (exp x)))) 2)
* [misc]simplify:  Simplified (2 1) to (λ (x) (/ (* (sqrt (/ 1 (+ (exp (- x)) (exp x)))) 2) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 133 / 141 ] simplifiying candidate #<alt (λ (x) (- (+ (* 2 (/ (pow x 4) (pow (sqrt 2) 6))) (* 2 (/ 1 (pow (sqrt 2) 2)))) (+ (* 2 (/ (pow x 2) (pow (sqrt 2) 4))) (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4))))))>
* [enter]simplify:  Simplifying (- (+ (* 2 (/ (pow x 4) (pow (sqrt 2) 6))) (* 2 (/ 1 (pow (sqrt 2) 2)))) (+ (* 2 (/ (pow x 2) (pow (sqrt 2) 4))) (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* * [misc]simplify:  iters left: 2 (408 enodes)
* [exit]simplify:  Simplified to (fma (pow x 4) (- (/ 2 (pow (sqrt 2) 6)) (/ 1/6 (pow (sqrt 2) 4))) (- 1 (/ (* 2 (* x x)) (pow (sqrt 2) 4))))
* [misc]simplify:  Simplified (2) to (λ (x) (fma (pow x 4) (- (/ 2 (pow (sqrt 2) 6)) (/ 1/6 (pow (sqrt 2) 4))) (- 1 (/ (* 2 (* x x)) (pow (sqrt 2) 4)))))
* * * * [misc]progress:  [ 134 / 141 ] simplifiying candidate #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 135 / 141 ] simplifiying candidate #<alt (λ (x) (/ 2 (+ (exp (* -1 x)) (exp x))))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp (* -1 x)) (exp 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)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]progress:  [ 136 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))))>
* [enter]simplify:  Simplifying (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (479 enodes)
* [exit]simplify:  Simplified to (fma (/ (* 1/2 x) (sqrt 2)) x (fma (- 1/24 (/ 1/8 2)) (/ (pow x 4) (sqrt 2)) (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (fma (/ (* 1/2 x) (sqrt 2)) x (fma (- 1/24 (/ 1/8 2)) (/ (pow x 4) (sqrt 2)) (sqrt 2)))))
* * * * [misc]progress:  [ 137 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 138 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* -1 x)) (exp x)))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp (* -1 x)) (exp x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (- x)) (exp x)))
* [misc]simplify:  Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (- x)) (exp x)))))
* * * * [misc]progress:  [ 139 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (- (+ (sqrt 2) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (* 1/24 (/ (pow x 4) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (479 enodes)
* [exit]simplify:  Simplified to (fma (/ (* 1/2 x) (sqrt 2)) x (fma (- 1/24 (/ 1/8 2)) (/ (pow x 4) (sqrt 2)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ 2 (fma (/ (* 1/2 x) (sqrt 2)) x (fma (- 1/24 (/ 1/8 2)) (/ (pow x 4) (sqrt 2)) (sqrt 2)))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 140 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp x) (exp (- x))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
* * * * [misc]progress:  [ 141 / 141 ] simplifiying candidate #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp (* -1 x)) (exp x)))) (sqrt (+ (exp x) (exp (- x))))))>
* [enter]simplify:  Simplifying (sqrt (+ (exp (* -1 x)) (exp x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (exp (- x)) (exp x)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- x))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))> #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))> #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>)
* * * [misc]regime-changes:  Trying 3 branch expressions: (x (+ (exp x) (exp (- x))) (/ 2 (+ (exp x) (exp (- x)))))
* * * * [misc]regimes:  Trying to branch on x from (#<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))> #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))> #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>)
* * * * [misc]regimes:  Trying to branch on (+ (exp x) (exp (- x))) from (#<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))> #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))> #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>)
* * * * [misc]regimes:  Trying to branch on (/ 2 (+ (exp x) (exp (- x)))) from (#<alt (λ (x) (* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x)))))))> #<alt (λ (x) (/ 2 (+ (exp x) (exp (- x)))))> #<alt (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 1 256))>
* [enter]simplify:  Simplifying (/ 2 (+ (exp x) (exp (- x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ 2 (+ (exp x) (exp (- 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 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs