* [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:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (x) (/ (- 1 (cos x)) (* x x)))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (x) (/ (- 1 (cos x)) (* x x))): 0
* [misc]none:  Best fresh alt per point
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* [misc]none:  All alt indices
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* [misc]none:  Best alt per point
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* [misc]none:  (-1.2254396192804965e-192): 0
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* [misc]none:  (-2.376464365888854e-78): 0
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* [misc]none:  (-7.76766480776823e+37): 0
* [misc]none:  (8.382633428275648e-297): 0
* [misc]none:  (-6.191205901832185e+168): 0
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* [misc]none:  (6.099737398723264e-279): 0
* [misc]none:  (2.6679523035634032e-104): 0
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 0
* [misc]none:  (-2.318802051809187e-21): 0
* [misc]none:  (-2.362056093523898e-236): 0
* [misc]none:  (4.384610242475067e+141): 0
* [misc]none:  (1.4474621781713568e+65): 0
* [misc]none:  (-1.410046620426318e-213): 0
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 0
* [misc]none:  (-7.447731371021966e+71): 0
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 0
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 0
* [misc]none:  (4.416557773834991e-25): 0
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 0
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 0
* [misc]none:  Picked alt (λ (x) (/ (- 1 (cos x)) (* x x)))
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [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 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos x)) (pow x 2))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (- 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking 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) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 39 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
* * * * [misc]progress:  [ 2 / 39 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (- 1 (cos x))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* * * * [misc]progress:  [ 3 / 39 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 4 / 39 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 5 / 39 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 6 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [enter]simplify:  Simplifying (cbrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 7 / 39 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 8 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 9 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 10 / 39 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [enter]simplify:  Simplifying (/ (cos x) (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* * * * [misc]progress:  [ 11 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 12 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 13 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 14 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
* * * * [misc]progress:  [ 15 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 16 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 17 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1 (cos x)) x) x))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 18 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* * * * [misc]progress:  [ 19 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 20 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 21 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (313 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))
* [exit]simplify:  Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))
* * * * [misc]progress:  [ 22 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* * * * [misc]progress:  [ 23 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
* * * * [misc]progress:  [ 24 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (log (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* * * * [misc]progress:  [ 25 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (exp (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* * * * [misc]progress:  [ 26 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* * * * [misc]progress:  [ 27 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* * * * [misc]progress:  [ 28 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* * * * [misc]progress:  [ 29 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (- 1 (pow (cos x) 3))
* [exit]simplify:  Simplified to (- 1 (pow (cos x) 3))
* [enter]simplify:  Simplifying (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x)))
* * * * [misc]progress:  [ 30 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos x))
* [exit]simplify:  Simplified to (- (cos x))
* * * * [misc]progress:  [ 31 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 32 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (+ 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (cos x))
* [exit]simplify:  Simplified to (+ 1 (cos x))
* * * * [misc]progress:  [ 33 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos x))
* [exit]simplify:  Simplified to (- (cos x))
* * * * [misc]progress:  [ 34 / 39 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* x (* 1/24 x))))
* * * * [misc]progress:  [ 35 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 36 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 37 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* x (* x 1/2)) (* 1/720 (pow x 6))) (* (pow x 4) 1/24)) (* x x))
* * * * [misc]progress:  [ 38 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 39 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 6
* [misc]none:  All alts: 6
* [misc]none:  Fresh alt: (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))
* [misc]none:  Fresh alt: (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))
* [misc]none:  Fresh alt: (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (- 1 (cos x)) x) x))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))))): 0
* [misc]none:  (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))): 1
* [misc]none:  (λ (x) (* (- 1 (cos x)) (/ 1 (* x x)))): 2
* [misc]none:  (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))): 3
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 4
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 5
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 3
* [misc]none:  (1.7090726067739176e-227): 1
* [misc]none:  (7.696162327562603e-152): 1
* [misc]none:  (-1.7235772956324157e+44): 2
* [misc]none:  (-1.849105607217708e-205): 1
* [misc]none:  (5.106850318067203e-223): 1
* [misc]none:  (-8.776422694060002e-191): 1
* [misc]none:  (-1.0339801069916732e-122): 1
* [misc]none:  (1.3381086996667414e-215): 1
* [misc]none:  (-1.2294460237484715e+92): 2
* [misc]none:  (-9.903617261398821e+48): 3
* [misc]none:  (1.0224180420716733e-52): 1
* [misc]none:  (-5.2868600650398754e+73): 3
* [misc]none:  (9.705038014433044e-175): 1
* [misc]none:  (-2.2377664482363495e-145): 1
* [misc]none:  (-6.863248801263982e-282): 1
* [misc]none:  (6.028770352690154e-151): 1
* [misc]none:  (-425.15997261130053): 2
* [misc]none:  (-1.4215485644178288e+122): 3
* [misc]none:  (6.224141164637054e+75): 5
* [misc]none:  (-1.2086624476009651e-200): 1
* [misc]none:  (2.3623052767393814e+153): 4
* [misc]none:  (4.4633600804799425e+142): 2
* [misc]none:  (-1.6813749551547664e-222): 1
* [misc]none:  (-4.6390246315423324e+36): 5
* [misc]none:  (1.2790861077923577e+68): 2
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 1
* [misc]none:  (-2.3255237224962407e-56): 1
* [misc]none:  (1.6780592368033288e-262): 1
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 1
* [misc]none:  (1.6828576275377584e-98): 1
* [misc]none:  (4.5525663232975395e+86): 2
* [misc]none:  (4.922686678959719e-213): 1
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 1
* [misc]none:  (3.0310347416413137e-258): 1
* [misc]none:  (-1.1043473204259838e-123): 1
* [misc]none:  (-2.06284826271339e+143): 0
* [misc]none:  (-7.24722487096989e+250): 0
* [misc]none:  (-2.2793842908096357e+72): 2
* [misc]none:  (-8.124520965103743e+145): 2
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 4
* [misc]none:  (-5.072621494700167e+267): 0
* [misc]none:  (-4.473451124127099e-235): 1
* [misc]none:  (1.5758037123807388e+87): 4
* [misc]none:  (-3.1154131766396667e+29): 2
* [misc]none:  (2.4492953260422185e+131): 2
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 2
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 2
* [misc]none:  (-4.521345173807944e-274): 1
* [misc]none:  (2.4757193927168845e-307): 1
* [misc]none:  (-3.9546390943242443e-82): 1
* [misc]none:  (1.457018723838865e-35): 1
* [misc]none:  (-1.5246504675906286e-147): 1
* [misc]none:  (-1.1042460154015769e-187): 1
* [misc]none:  (-3.30379604621756e-180): 1
* [misc]none:  (-8.185062082112633e+221): 0
* [misc]none:  (9.424239481611678e-294): 1
* [misc]none:  (1.5096638452158614e-71): 1
* [misc]none:  (-1.830572871972773e-27): 1
* [misc]none:  (-1.714392276509888e-289): 1
* [misc]none:  (-9.870003932393336e-46): 1
* [misc]none:  (-2.2727962542731896e+253): 0
* [misc]none:  (6.967234360883543e-112): 1
* [misc]none:  (2.0770495361468835e+203): 0
* [misc]none:  (-3.5348879909542174e+259): 0
* [misc]none:  (3.1401318723071353e-131): 1
* [misc]none:  (-1.4852188300484065e-239): 1
* [misc]none:  (-3.374264737975756e+72): 3
* [misc]none:  (-1.0890756353988414e+102): 2
* [misc]none:  (0.228970627026966): 3
* [misc]none:  (8.40469635347052e+100): 0
* [misc]none:  (2.1321881547753267e-44): 1
* [misc]none:  (1.7739584018359304e-207): 1
* [misc]none:  (-2.723194185823719e-255): 1
* [misc]none:  (6.866799226360426e-109): 1
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* [misc]none:  (-1.105123941463264e-44): 1
* [misc]none:  (-1.5442050061781137e-296): 1
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* [misc]none:  (4.508352673437809e+248): 0
* [misc]none:  (-1.4801509312754967e-61): 1
* [misc]none:  (-5.163900824605852e+32): 0
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* [misc]none:  (-5.232709143225968e-98): 1
* [misc]none:  (-2.6904647286120434e+306): 0
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* [misc]none:  (1.4966275592591335e-123): 1
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* [misc]none:  (-1.9863653303691194e-296): 1
* [misc]none:  (-1.5110806788081036e+47): 3
* [misc]none:  (4.232269734875141e-205): 1
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* [misc]none:  (2.1703230086091624e+277): 0
* [misc]none:  (-4.725142043601307e-47): 1
* [misc]none:  (2.68866513359689e-174): 1
* [misc]none:  (8.96636707501737e-13): 1
* [misc]none:  (-2.3580830331388543e-23): 1
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* [misc]none:  (-3.386296042382532e-190): 1
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* [misc]none:  (-7.407998779781806e-33): 1
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* [misc]none:  (-2.580522918977788e+184): 0
* [misc]none:  (8.990843056511833e-32): 1
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* [misc]none:  (6.754325943853309e-283): 1
* [misc]none:  (-1.0323836290065946e-292): 1
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* [misc]none:  (-4.747329706134133e-300): 1
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* [misc]none:  (6.354961149716869e-97): 1
* [misc]none:  (2.8293820765322485e-296): 1
* [misc]none:  (5.3887495676776976e+171): 0
* [misc]none:  (-503507.16469484643): 4
* [misc]none:  (-1.9250288775511552e-19): 1
* [misc]none:  (9.871143682146977e-239): 1
* [misc]none:  (-1.9809585244792104e-221): 1
* [misc]none:  (-5.324127388080003e+141): 2
* [misc]none:  (5.123849747663666e+133): 3
* [misc]none:  (4.007761912625816e-148): 1
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* [misc]none:  (-7.33347091133757e-103): 1
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* [misc]none:  (7.175557259725409e-49): 1
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* [misc]none:  (-1.3609788364339258e+82): 3
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* [misc]none:  (-4.651815532356965e+285): 0
* [misc]none:  (-1.223165056942955e+279): 0
* [misc]none:  (2.3912903471184356e-134): 1
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* [misc]none:  (-2.8955398952451435e+131): 3
* [misc]none:  (1.5780761566396397e+125): 3
* [misc]none:  (1.534059348183312e-189): 1
* [misc]none:  (2.8419420301747055e+90): 2
* [misc]none:  (-2.318158899615234e+28): 4
* [misc]none:  (8.976998414840432e+184): 0
* [misc]none:  (3.9122094377392414e+59): 3
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* [misc]none:  (-8.890171102288788e+241): 0
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* [misc]none:  (-8.87002524437924e-05): 1
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* [misc]none:  (-1.5172504298350683e-122): 1
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* [misc]none:  (1.3610327499536486e+226): 0
* [misc]none:  (4.84788597345363e+32): 3
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* [misc]none:  (-8.795577755360774e-193): 1
* [misc]none:  (1.0006462262322276e+238): 0
* [misc]none:  (-9.304691570184222e+30): 2
* [misc]none:  (1.9963004369674967e-80): 1
* [misc]none:  (1.4604179220567222e+231): 0
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* [misc]none:  (1.6707151526371295e-190): 1
* [misc]none:  (5.1990169359560766e-256): 1
* [misc]none:  (-6.08679419260233e+77): 2
* [misc]none:  (-2.864119470500123e-178): 1
* [misc]none:  (-4.976800097081315e-07): 1
* [misc]none:  (8.044445972631143e-28): 1
* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
* [misc]none:  (7.311006071291519e-101): 1
* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 0
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* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
* [misc]none:  (8.382633428275648e-297): 1
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 5
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 4
* [misc]none:  (1.4474621781713568e+65): 2
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 2
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 1
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  All alt indices
* [misc]none:  (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x))))): 0
* [misc]none:  (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))): 1
* [misc]none:  (λ (x) (* (- 1 (cos x)) (/ 1 (* x x)))): 2
* [misc]none:  (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))): 3
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 4
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 5
* [misc]none:  Best alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 3
* [misc]none:  (1.7090726067739176e-227): 1
* [misc]none:  (7.696162327562603e-152): 1
* [misc]none:  (-1.7235772956324157e+44): 2
* [misc]none:  (-1.849105607217708e-205): 1
* [misc]none:  (5.106850318067203e-223): 1
* [misc]none:  (-8.776422694060002e-191): 1
* [misc]none:  (-1.0339801069916732e-122): 1
* [misc]none:  (1.3381086996667414e-215): 1
* [misc]none:  (-1.2294460237484715e+92): 2
* [misc]none:  (-9.903617261398821e+48): 3
* [misc]none:  (1.0224180420716733e-52): 1
* [misc]none:  (-5.2868600650398754e+73): 3
* [misc]none:  (9.705038014433044e-175): 1
* [misc]none:  (-2.2377664482363495e-145): 1
* [misc]none:  (-6.863248801263982e-282): 1
* [misc]none:  (6.028770352690154e-151): 1
* [misc]none:  (-425.15997261130053): 2
* [misc]none:  (-1.4215485644178288e+122): 3
* [misc]none:  (6.224141164637054e+75): 5
* [misc]none:  (-1.2086624476009651e-200): 1
* [misc]none:  (2.3623052767393814e+153): 4
* [misc]none:  (4.4633600804799425e+142): 2
* [misc]none:  (-1.6813749551547664e-222): 1
* [misc]none:  (-4.6390246315423324e+36): 5
* [misc]none:  (1.2790861077923577e+68): 2
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 1
* [misc]none:  (-2.3255237224962407e-56): 1
* [misc]none:  (1.6780592368033288e-262): 1
* [misc]none:  (1.5331200777386884e+269): 0
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* [misc]none:  (3.0310347416413137e-258): 1
* [misc]none:  (-1.1043473204259838e-123): 1
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* [misc]none:  (-9.304691570184222e+30): 2
* [misc]none:  (1.9963004369674967e-80): 1
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* [misc]none:  (5.1990169359560766e-256): 1
* [misc]none:  (-6.08679419260233e+77): 2
* [misc]none:  (-2.864119470500123e-178): 1
* [misc]none:  (-4.976800097081315e-07): 1
* [misc]none:  (8.044445972631143e-28): 1
* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
* [misc]none:  (7.311006071291519e-101): 1
* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 0
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
* [misc]none:  (8.382633428275648e-297): 1
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 5
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 4
* [misc]none:  (1.4474621781713568e+65): 2
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 2
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 1
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  Picked alt (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking 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 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 (/ 1 x))) 1) into (+ 1 (cos x))
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ 1 (cos x))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify 2/45 into 2/45
* [misc]backup-simplify:  Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x)))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 106 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
* * * * [misc]progress:  [ 2 / 106 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* [exit]simplify:  Simplified to (+ (- (- (log (sin x)) (log x)) (log (+ 1 (cos x)))) (- (log (sin x)) (log x)))
* [exit]simplify:  Simplified to (+ (- (- (log (sin x)) (log x)) (log (+ 1 (cos x)))) (- (log (sin x)) (log x)))
* * * * [misc]progress:  [ 3 / 106 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log x)) (- (- (log (sin x)) (log x)) (log (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log x)) (- (- (log (sin x)) (log x)) (log (+ 1 (cos x)))))
* * * * [misc]progress:  [ 4 / 106 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (419 enodes)
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* * * * [misc]progress:  [ 5 / 106 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (350 enodes)
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 6 / 106 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* [exit]simplify:  Simplified to (exp (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (exp (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* * * * [misc]progress:  [ 7 / 106 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x)))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))))
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x)))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))))
* * * * [misc]progress:  [ 8 / 106 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 9 / 106 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* * * * [misc]progress:  [ 10 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* * * * [misc]progress:  [ 11 / 106 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 3)
* * * * [misc]progress:  [ 12 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (sqrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))
* * * * [misc]progress:  [ 13 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (- (sin x)) (tan (/ x 2)))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 14 / 106 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
* [enter]simplify:  Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ 1/2 (* x x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (/ 1/2 (* x x)) (+ (cos x) 1))
* [enter]simplify:  Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* [exit]simplify:  Simplified to (/ (* 1/2 (cos (* x 2))) (+ (* x x) (* (* x x) (cos x))))
* [exit]simplify:  Simplified to (/ (* 1/2 (cos (* x 2))) (+ (* x x) (* (* x x) (cos x))))
* * * * [misc]progress:  [ 15 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]progress:  [ 16 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]progress:  [ 17 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 18 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 19 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) 1) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [enter]simplify:  Simplifying (/ (/ (sin x) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* * * * [misc]progress:  [ 20 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) x))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) x))
* * * * [misc]progress:  [ 21 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) x)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [enter]simplify:  Simplifying (/ (/ 1 (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ (/ 1 x) (+ 1 (cos x)))
* * * * [misc]progress:  [ 22 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (/ (sin x) x)) (+ 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (/ (* (sin x) (/ (sin x) x)) (+ 1 (pow (cos x) 3)))
* [enter]simplify:  Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x)
* * * * [misc]progress:  [ 23 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 24 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
* * * * [misc]progress:  [ 25 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 26 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 27 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) x))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) x))
* * * * [misc]progress:  [ 28 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 29 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 30 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 31 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 32 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (435 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* * * * [misc]progress:  [ 33 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 34 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ 1 (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (* (* x x) (cos x)))
* [exit]simplify:  Simplified to (+ (* x x) (* (* x x) (cos x)))
* * * * [misc]progress:  [ 35 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x))))
* * * * [misc]progress:  [ 36 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 37 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* * * * [misc]progress:  [ 38 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
* * * * [misc]progress:  [ 39 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (+ 1 (cos x)))
* [exit]simplify:  Simplified to (log (+ 1 (cos x)))
* * * * [misc]progress:  [ 40 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* * * * [misc]progress:  [ 41 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 42 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* [exit]simplify:  Simplified to (pow (+ (cos x) 1) 3)
* [exit]simplify:  Simplified to (pow (+ (cos x) 1) 3)
* * * * [misc]progress:  [ 43 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 44 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (+ 1 (pow (cos x) 3))
* [exit]simplify:  Simplified to (+ 1 (pow (cos x) 3))
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x)))
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x)))
* * * * [misc]progress:  [ 45 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 46 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (- 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (- 1 (cos x))
* [exit]simplify:  Simplified to (- 1 (cos x))
* * * * [misc]progress:  [ 47 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* * * * [misc]progress:  [ 48 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* 1/2 (cos (* 2 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* 1/2 (cos (* x 2)))
* [exit]simplify:  Simplified to (* 1/2 (cos (* x 2)))
* * * * [misc]progress:  [ 49 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos (- x x)) (cos (+ x x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* * * * [misc]progress:  [ 50 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 51 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 52 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 53 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 54 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 55 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ (log (sin x)) (log (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 56 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (log (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 57 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (exp (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* * * * [misc]progress:  [ 58 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* * * * [misc]progress:  [ 59 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [enter]simplify:  Simplifying (cbrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* * * * [misc]progress:  [ 60 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* * * * [misc]progress:  [ 61 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* * * * [misc]progress:  [ 62 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 63 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* * * * [misc]progress:  [ 64 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 65 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* * * * [misc]progress:  [ 66 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* * * * [misc]progress:  [ 67 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sqrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 68 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 69 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 70 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
* * * * [misc]progress:  [ 71 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 72 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 73 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (log (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 74 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (/ (* (sin x) (sin x)) (+ 1 (cos 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 (21 enodes)
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (exp (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 75 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (sin x) 3) (pow (sin x) 3)) (pow (+ 1 (cos x)) 3))
* [exit]simplify:  Simplified to (/ (* (pow (sin x) 3) (pow (sin x) 3)) (pow (+ 1 (cos x)) 3))
* * * * [misc]progress:  [ 76 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* * * * [misc]progress:  [ 77 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos 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 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))
* [enter]simplify:  Simplifying (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos 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 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 78 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (414 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (tan (/ x 2))) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (tan (/ x 2))) 3)
* * * * [misc]progress:  [ 79 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (sin x)))
* * * * [misc]progress:  [ 80 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [enter]simplify:  Simplifying (- (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* * * * [misc]progress:  [ 81 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1/2 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [enter]simplify:  Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x))))
* * * * [misc]progress:  [ 82 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 83 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 84 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* [enter]simplify:  Simplifying (/ (sin x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (tan (/ x 2))
* [exit]simplify:  Simplified to (tan (/ x 2))
* * * * [misc]progress:  [ 85 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 86 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* * * * [misc]progress:  [ 87 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * * * [misc]progress:  [ 88 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 89 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos 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 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 90 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 91 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (sin x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* * * * [misc]progress:  [ 92 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))
* * * * [misc]progress:  [ 93 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 94 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
* [enter]simplify:  Simplifying (* (+ 1 (cos x)) 2)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (+ 2 (* (cos x) 2))
* [exit]simplify:  Simplified to (+ 2 (* (cos x) 2))
* * * * [misc]progress:  [ 95 / 106 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* x (* 1/24 x))))
* * * * [misc]progress:  [ 96 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 97 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (429 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 98 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* * [misc]simplify:  iters left: 2 (409 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (- (+ 2 (* 1/24 (pow x 4))) (* (* x x) 1/2)))
* * * * [misc]progress:  [ 99 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 100 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 101 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* 2/45 (pow x 6)) (* (pow x 4) 1/3)) (* x x)) (+ (* (cos x) (* x x)) (* x x)))
* * * * [misc]progress:  [ 102 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 103 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 104 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* x (* x 1/2)) (* 1/720 (pow x 6))) (* (pow x 4) 1/24)) (* x x))
* * * * [misc]progress:  [ 105 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 106 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 6
* [misc]none:  All alts: 7
* [misc]none:  Fresh alt: (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* [misc]none:  Fresh alt: (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))
* [misc]none:  Fresh alt: (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))
* [misc]none:  Non-fresh alt: (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* [misc]none:  Fresh alt: (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [misc]none:  Fresh alt: (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (- 1 (cos x)) x) x))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))): 0
* [misc]none:  (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))): 1
* [misc]none:  (λ (x) (* (- 1 (cos x)) (/ 1 (* x x)))): 2
* [misc]none:  (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))): 3
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 4
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 5
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 5
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* [misc]none:  All alt indices
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* [misc]none:  (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))): 3
* [misc]none:  (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))): 4
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 5
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 6
* [misc]none:  Best alt per point
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* [misc]none:  (-9.304691570184222e+30): 2
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* [misc]none:  (-6.08679419260233e+77): 2
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* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
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* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 2
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
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* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 4
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 4
* [misc]none:  (1.4474621781713568e+65): 0
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 2
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 2
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  Picked alt (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) 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 (sqrt (* (tan (/ x 2)) (sin x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- 1/6)) (+ (* 0 0) (+ (* 1/24 1) (* 0 0)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- 1/6)) (+ (* 1/24 0) (+ (* 0 1) (* 1/240 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/120) (+ (* 0 0) (+ (* 1/24 (- 1/6)) (+ (* 0 0) (+ (* 1/240 1) (* 0 0)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- 1/6)) (+ (* 0 0) (+ (* 1/24 1) (* 0 0)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- 1/6)) (+ (* 1/24 0) (+ (* 0 1) (* 1/240 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/120) (+ (* 0 0) (+ (* 1/24 (- 1/6)) (+ (* 0 0) (+ (* 1/240 1) (* 0 0)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- 1/6)) (+ (* 0 0) (+ (* 1/24 1) (* 0 0)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- 1/6)) (+ (* 0 0) (+ (* 1/24 1) (* 0 0)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (sqrt 1/2)))) into (- 1/24)
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- 1/6)) (+ (* 1/24 0) (+ (* 0 1) (* 1/240 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- 1/6)) (+ (* 1/24 0) (+ (* 0 1) (* 1/240 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) 0) (* 0 (sqrt 1/2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/120) (+ (* 0 0) (+ (* 1/24 (- 1/6)) (+ (* 0 0) (+ (* 1/240 1) (* 0 0)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/120) (+ (* 0 0) (+ (* 1/24 (- 1/6)) (+ (* 0 0) (+ (* 1/240 1) (* 0 0)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 0 0) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (sqrt 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) (pow (sqrt 1/2) 2))) into (- (+ (* 1/720 (pow x 4)) (pow (sqrt 1/2) 2)) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ 1/2 (/ 1 x))) (sin (/ 1 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ x 2)) (sin x))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ x 2)) (sin x))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 1/24 0))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- 1/6)) (+ (* 0 0) (+ (* 1/24 1) (* 0 0)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- 1/6)) (+ (* 1/24 0) (+ (* 0 1) (* 1/240 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1/120) (+ (* 0 0) (+ (* 1/24 (- 1/6)) (+ (* 0 0) (+ (* 1/240 1) (* 0 0)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (sqrt 1/2) (* 1/1440 (/ (pow x 4) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) (/ 1 x)) into (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (sqrt (/ (* (sin (/ -1/2 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (pow (* (tan (/ x 2)) (sin x)) 1/2) x)))>
* * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (pow (sqrt (* (tan (/ x 2)) (sin x))) 1) x)))>
* * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (exp (log (sqrt (* (tan (/ x 2)) (sin x))))) x)))>
* [enter]simplify:  Simplifying (log (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (log (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (log (exp (sqrt (* (tan (/ x 2)) (sin x))))) x)))>
* [enter]simplify:  Simplifying (exp (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (exp (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (* (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x))))) (cbrt (sqrt (* (tan (/ x 2)) (sin x))))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (* (tan (/ x 2)) (sin x))))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (tan (/ x 2)) (sin x)) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (* (tan (/ x 2)) (sin x)) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) x)))>
* [enter]simplify:  Simplifying (sqrt (tan (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [enter]simplify:  Simplifying (sqrt (sin x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin x))
* [exit]simplify:  Simplified to (sqrt (sin x))
* * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (/ (sqrt (* (sin (/ x 2)) (sin x))) (sqrt (cos (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin (/ x 2)) (sin x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (sin (/ x 2)) (sin x)))
* [enter]simplify:  Simplifying (sqrt (cos (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (* (sqrt (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (sqrt (* (tan (/ x 2)) (sin x))))) x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (* 1 (sqrt (* (tan (/ x 2)) (sin x)))) x)))>
* * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (pow (* (tan (/ x 2)) (sin x)) 1/2) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (pow (sqrt (* (tan (/ x 2)) (sin x))) 1) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (exp (log (sqrt (* (tan (/ x 2)) (sin x))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (log (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (log (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (log (exp (sqrt (* (tan (/ x 2)) (sin x))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (exp (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (exp (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x))))) (cbrt (sqrt (* (tan (/ x 2)) (sin x))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (cbrt (* (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (* (tan (/ x 2)) (sin x))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (tan (/ x 2)) (sin x)) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (* (tan (/ x 2)) (sin x)) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sqrt (tan (/ x 2))) (sqrt (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (sqrt (tan (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [enter]simplify:  Simplifying (sqrt (sin x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin x))
* [exit]simplify:  Simplified to (sqrt (sin x))
* * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (* (sin (/ x 2)) (sin x))) (sqrt (cos (/ x 2)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin (/ x 2)) (sin x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin (/ x 2)) (sin x)))
* [exit]simplify:  Simplified to (sqrt (* (sin (/ x 2)) (sin x)))
* [enter]simplify:  Simplifying (sqrt (cos (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sqrt (sqrt (* (tan (/ x 2)) (sin x)))) (sqrt (sqrt (* (tan (/ x 2)) (sin x))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* 1 (sqrt (* (tan (/ x 2)) (sin x)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (tan (/ x 2)) (sin x))) 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)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) 1))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) x) x)
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) x) x)
* * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (tan (/ x 2)) (sin x))) x) 2))>
* * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (tan (/ x 2)) (sin x))) 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)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) 1))>
* * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (log (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log (* x x))) (log (tan (/ x 2))))
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log (* x x))) (log (tan (/ x 2))))
* * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (exp (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* [exit]simplify:  Simplified to (exp (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (483 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (/ (/ (* x x) (sin x)) (tan (/ x 2))) (/ (/ (* x x) (sin x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (/ (/ (* x x) (sin x)) (tan (/ x 2))) (/ (/ (* x x) (sin x)) (tan (/ x 2)))))
* * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))) (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)) (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x)))
* [enter]simplify:  Simplifying (cbrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* [exit]simplify:  Simplified to (cbrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (429 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (tan (/ x 2)) (sin x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (* (tan (/ x 2)) (sin x)) (* x x)) 3)
* * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (sqrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* [enter]simplify:  Simplifying (sqrt (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (tan (/ x 2)) (sin x)) x) x))
* * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (sqrt (* (tan (/ x 2)) (sin x))) (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (sin x))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (sin x))
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [exit]simplify:  Simplified to (* x x)
* * * * [misc]progress:  [ 34 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) 1) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (* (tan (/ x 2)) (sin x)))) (/ 1 x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) x) x)
* [exit]simplify:  Simplified to (/ (/ (* (tan (/ x 2)) (sin x)) x) x)
* * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (tan (/ x 2)) (sin x))) (* (/ 1 x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* [enter]simplify:  Simplifying (* (/ 1 x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x))
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x))
* * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (* (tan (/ x 2)) (sin x)))) x))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (* (tan (/ x 2)) (sin x))) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) x))>
* [enter]simplify:  Simplifying (* (sqrt (* (tan (/ x 2)) (sin x))) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* [exit]simplify:  Simplified to (/ (* (tan (/ x 2)) (sin x)) x)
* * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (pow (/ (sqrt (* (tan (/ x 2)) (sin x))) x) 1)))>
* * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (exp (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (log (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (log (exp (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (exp (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (exp (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (tan (/ x 2))) (* x x)) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (tan (/ x 2))) (* x x)) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (- (sqrt (* (tan (/ x 2)) (sin x)))) (- x))))>
* [enter]simplify:  Simplifying (- (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (- (sqrt (* (tan (/ x 2)) (sin x))))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* 1 (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))>
* * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (* (tan (/ x 2)) (sin x))) (/ 1 x))))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* * * * [misc]progress:  [ 55 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ 1 (/ x (sqrt (* (tan (/ x 2)) (sin x)))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (* (cbrt (sqrt (* (tan (/ x 2)) (sin x)))) (cbrt (sqrt (* (tan (/ x 2)) (sin x))))) (/ x (cbrt (sqrt (* (tan (/ x 2)) (sin x))))))))>
* [enter]simplify:  Simplifying (/ x (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (tan (/ x 2))) (/ x (sqrt (sin x))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (sqrt (* (tan (/ x 2)) (sin x)))) (/ x (sqrt (sqrt (* (tan (/ x 2)) (sin x))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt (* (tan (/ x 2)) (sin x)))))
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ 1 (/ x (sqrt (* (tan (/ x 2)) (sin x)))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ x (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (sin (/ x 2)) (sin x))) (* x (sqrt (cos (/ x 2)))))))>
* [enter]simplify:  Simplifying (* x (sqrt (cos (/ x 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (* x (sqrt (cos (/ x 2))))
* [exit]simplify:  Simplified to (* x (sqrt (cos (/ x 2))))
* * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) x))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (366 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (sqrt 1/2) x) (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2)))) (* (/ (* x x) (sqrt 1/2)) (* 1/48 x))) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (sin x))) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (sin x))) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))) (* x (sqrt 1/2))) (/ (* x 1/48) (/ (sqrt 1/2) (* x x)))) (/ (* x x) (sqrt (* (sin x) (tan (/ x 2))))))
* * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (tan (/ x 2)) (sin x))) (* x x)) (sqrt (/ (sin (* x 1/2)) (/ (cos (* x 1/2)) (sin x)))))
* * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (tan (/ x 2)) (sin x))) (* x x)) (sqrt (/ (sin (* x 1/2)) (/ (cos (* x 1/2)) (sin x)))))
* * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/720 (pow x 4)) (pow (sqrt 1/2) 2)) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/720 (pow x 4)) (pow (sqrt 1/2) 2)) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (- (* (pow x 4) 1/720) (- (* (* 1/24 x) x) 1/2))
* * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (* x 1/2)) (cos (* x 1/2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (- (+ (sqrt 1/2) (* 1/1440 (/ (pow x 4) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (- (+ (sqrt 1/2) (* 1/1440 (/ (pow x 4) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (- (+ (* (/ (pow x 4) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))) (sqrt 1/2)) (/ (* x x) (/ (sqrt 1/2) 1/48))))
* * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ (sin x) (cos (* x 1/2))) (sin (* x 1/2)))) (/ (sqrt (* (tan (/ x 2)) (sin x))) (* x x)))
* * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ (sin x) (cos (* x 1/2))) (sin (* x 1/2)))) (/ (sqrt (* (tan (/ x 2)) (sin x))) (* x x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 5
* [misc]none:  All alts: 7
* [misc]none:  Fresh alt: (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* [misc]none:  Fresh alt: (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))
* [misc]none:  Fresh alt: (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))
* [misc]none:  Non-fresh alt: (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* [misc]none:  Non-fresh alt: (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))
* [misc]none:  Fresh alt: (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))))
* [misc]none:  Fresh alt: (λ (x) (/ (/ (- 1 (cos x)) x) x))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))): 0
* [misc]none:  (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))): 1
* [misc]none:  (λ (x) (* (- 1 (cos x)) (/ 1 (* x x)))): 2
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 3
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 4
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 4
* [misc]none:  (1.7090726067739176e-227): 1
* [misc]none:  (7.696162327562603e-152): 1
* [misc]none:  (-1.7235772956324157e+44): 2
* [misc]none:  (-1.849105607217708e-205): 1
* [misc]none:  (5.106850318067203e-223): 1
* [misc]none:  (-8.776422694060002e-191): 1
* [misc]none:  (-1.0339801069916732e-122): 1
* [misc]none:  (1.3381086996667414e-215): 1
* [misc]none:  (-1.2294460237484715e+92): 2
* [misc]none:  (-9.903617261398821e+48): 0
* [misc]none:  (1.0224180420716733e-52): 1
* [misc]none:  (-5.2868600650398754e+73): 2
* [misc]none:  (9.705038014433044e-175): 1
* [misc]none:  (-2.2377664482363495e-145): 1
* [misc]none:  (-6.863248801263982e-282): 1
* [misc]none:  (6.028770352690154e-151): 1
* [misc]none:  (-425.15997261130053): 2
* [misc]none:  (-1.4215485644178288e+122): 2
* [misc]none:  (6.224141164637054e+75): 4
* [misc]none:  (-1.2086624476009651e-200): 1
* [misc]none:  (2.3623052767393814e+153): 3
* [misc]none:  (4.4633600804799425e+142): 0
* [misc]none:  (-1.6813749551547664e-222): 1
* [misc]none:  (-4.6390246315423324e+36): 4
* [misc]none:  (1.2790861077923577e+68): 2
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 1
* [misc]none:  (-2.3255237224962407e-56): 1
* [misc]none:  (1.6780592368033288e-262): 1
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 1
* [misc]none:  (1.6828576275377584e-98): 1
* [misc]none:  (4.5525663232975395e+86): 2
* [misc]none:  (4.922686678959719e-213): 1
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 1
* [misc]none:  (3.0310347416413137e-258): 1
* [misc]none:  (-1.1043473204259838e-123): 1
* [misc]none:  (-2.06284826271339e+143): 0
* [misc]none:  (-7.24722487096989e+250): 0
* [misc]none:  (-2.2793842908096357e+72): 2
* [misc]none:  (-8.124520965103743e+145): 2
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 3
* [misc]none:  (-5.072621494700167e+267): 0
* [misc]none:  (-4.473451124127099e-235): 1
* [misc]none:  (1.5758037123807388e+87): 3
* [misc]none:  (-3.1154131766396667e+29): 2
* [misc]none:  (2.4492953260422185e+131): 2
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 2
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 2
* [misc]none:  (-4.521345173807944e-274): 1
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* [misc]none:  (-3.9546390943242443e-82): 1
* [misc]none:  (1.457018723838865e-35): 1
* [misc]none:  (-1.5246504675906286e-147): 1
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* [misc]none:  (1.5096638452158614e-71): 1
* [misc]none:  (-1.830572871972773e-27): 1
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* [misc]none:  (6.967234360883543e-112): 1
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* [misc]none:  (-3.374264737975756e+72): 3
* [misc]none:  (-1.0890756353988414e+102): 2
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* [misc]none:  (2.1321881547753267e-44): 1
* [misc]none:  (1.7739584018359304e-207): 1
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* [misc]none:  (4.508352673437809e+248): 0
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* [misc]none:  (-5.163900824605852e+32): 0
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* [misc]none:  (5.3887495676776976e+171): 0
* [misc]none:  (-503507.16469484643): 3
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* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 3
* [misc]none:  (1.4474621781713568e+65): 0
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 2
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 2
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  All alt indices
* [misc]none:  (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))): 0
* [misc]none:  (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))): 1
* [misc]none:  (λ (x) (* (- 1 (cos x)) (/ 1 (* x x)))): 2
* [misc]none:  (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))): 3
* [misc]none:  (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))): 4
* [misc]none:  (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))): 5
* [misc]none:  (λ (x) (/ (/ (- 1 (cos x)) x) x)): 6
* [misc]none:  Best alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 3
* [misc]none:  (1.7090726067739176e-227): 1
* [misc]none:  (7.696162327562603e-152): 1
* [misc]none:  (-1.7235772956324157e+44): 2
* [misc]none:  (-1.849105607217708e-205): 1
* [misc]none:  (5.106850318067203e-223): 1
* [misc]none:  (-8.776422694060002e-191): 1
* [misc]none:  (-1.0339801069916732e-122): 1
* [misc]none:  (1.3381086996667414e-215): 1
* [misc]none:  (-1.2294460237484715e+92): 2
* [misc]none:  (-9.903617261398821e+48): 0
* [misc]none:  (1.0224180420716733e-52): 1
* [misc]none:  (-5.2868600650398754e+73): 3
* [misc]none:  (9.705038014433044e-175): 1
* [misc]none:  (-2.2377664482363495e-145): 1
* [misc]none:  (-6.863248801263982e-282): 1
* [misc]none:  (6.028770352690154e-151): 1
* [misc]none:  (-425.15997261130053): 2
* [misc]none:  (-1.4215485644178288e+122): 3
* [misc]none:  (6.224141164637054e+75): 6
* [misc]none:  (-1.2086624476009651e-200): 1
* [misc]none:  (2.3623052767393814e+153): 5
* [misc]none:  (4.4633600804799425e+142): 0
* [misc]none:  (-1.6813749551547664e-222): 1
* [misc]none:  (-4.6390246315423324e+36): 6
* [misc]none:  (1.2790861077923577e+68): 2
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 1
* [misc]none:  (-2.3255237224962407e-56): 1
* [misc]none:  (1.6780592368033288e-262): 1
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 1
* [misc]none:  (1.6828576275377584e-98): 1
* [misc]none:  (4.5525663232975395e+86): 2
* [misc]none:  (4.922686678959719e-213): 1
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 1
* [misc]none:  (3.0310347416413137e-258): 1
* [misc]none:  (-1.1043473204259838e-123): 1
* [misc]none:  (-2.06284826271339e+143): 3
* [misc]none:  (-7.24722487096989e+250): 0
* [misc]none:  (-2.2793842908096357e+72): 2
* [misc]none:  (-8.124520965103743e+145): 2
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 5
* [misc]none:  (-5.072621494700167e+267): 0
* [misc]none:  (-4.473451124127099e-235): 1
* [misc]none:  (1.5758037123807388e+87): 5
* [misc]none:  (-3.1154131766396667e+29): 2
* [misc]none:  (2.4492953260422185e+131): 2
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 2
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 2
* [misc]none:  (-4.521345173807944e-274): 1
* [misc]none:  (2.4757193927168845e-307): 1
* [misc]none:  (-3.9546390943242443e-82): 1
* [misc]none:  (1.457018723838865e-35): 1
* [misc]none:  (-1.5246504675906286e-147): 1
* [misc]none:  (-1.1042460154015769e-187): 1
* [misc]none:  (-3.30379604621756e-180): 1
* [misc]none:  (-8.185062082112633e+221): 0
* [misc]none:  (9.424239481611678e-294): 1
* [misc]none:  (1.5096638452158614e-71): 1
* [misc]none:  (-1.830572871972773e-27): 1
* [misc]none:  (-1.714392276509888e-289): 1
* [misc]none:  (-9.870003932393336e-46): 1
* [misc]none:  (-2.2727962542731896e+253): 0
* [misc]none:  (6.967234360883543e-112): 1
* [misc]none:  (2.0770495361468835e+203): 0
* [misc]none:  (-3.5348879909542174e+259): 0
* [misc]none:  (3.1401318723071353e-131): 1
* [misc]none:  (-1.4852188300484065e-239): 1
* [misc]none:  (-3.374264737975756e+72): 3
* [misc]none:  (-1.0890756353988414e+102): 2
* [misc]none:  (0.228970627026966): 3
* [misc]none:  (8.40469635347052e+100): 0
* [misc]none:  (2.1321881547753267e-44): 1
* [misc]none:  (1.7739584018359304e-207): 1
* [misc]none:  (-2.723194185823719e-255): 1
* [misc]none:  (6.866799226360426e-109): 1
* [misc]none:  (6.417434319517234e+231): 0
* [misc]none:  (-1.105123941463264e-44): 1
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* [misc]none:  (4.508352673437809e+248): 0
* [misc]none:  (-1.4801509312754967e-61): 1
* [misc]none:  (-5.163900824605852e+32): 0
* [misc]none:  (1.430295312965348e-149): 1
* [misc]none:  (3.112001531242655e+80): 5
* [misc]none:  (3.0475240801607222e-148): 1
* [misc]none:  (-5.232709143225968e-98): 1
* [misc]none:  (-2.6904647286120434e+306): 0
* [misc]none:  (-2.4014893155423993e+35): 2
* [misc]none:  (1.4966275592591335e-123): 1
* [misc]none:  (6.384545099874781e-168): 1
* [misc]none:  (-1.9863653303691194e-296): 1
* [misc]none:  (-1.5110806788081036e+47): 3
* [misc]none:  (4.232269734875141e-205): 1
* [misc]none:  (4.1020469956028986e+24): 4
* [misc]none:  (2.1703230086091624e+277): 0
* [misc]none:  (-4.725142043601307e-47): 1
* [misc]none:  (2.68866513359689e-174): 1
* [misc]none:  (8.96636707501737e-13): 1
* [misc]none:  (-2.3580830331388543e-23): 1
* [misc]none:  (1.6082525618587168e-259): 1
* [misc]none:  (2.7230496615379425e-188): 1
* [misc]none:  (7.15832835948139e-179): 1
* [misc]none:  (-3.386296042382532e-190): 1
* [misc]none:  (2.991170371343952e+151): 0
* [misc]none:  (-7.407998779781806e-33): 1
* [misc]none:  (-7.014935371531484e-98): 1
* [misc]none:  (-2.580522918977788e+184): 0
* [misc]none:  (8.990843056511833e-32): 1
* [misc]none:  (3.9088008390110404e+59): 3
* [misc]none:  (6.754325943853309e-283): 1
* [misc]none:  (-1.0323836290065946e-292): 1
* [misc]none:  (-1.1379474227414984e+157): 4
* [misc]none:  (-4.747329706134133e-300): 1
* [misc]none:  (-2.266131068741548e-232): 1
* [misc]none:  (6.354961149716869e-97): 1
* [misc]none:  (2.8293820765322485e-296): 1
* [misc]none:  (5.3887495676776976e+171): 0
* [misc]none:  (-503507.16469484643): 5
* [misc]none:  (-1.9250288775511552e-19): 1
* [misc]none:  (9.871143682146977e-239): 1
* [misc]none:  (-1.9809585244792104e-221): 1
* [misc]none:  (-5.324127388080003e+141): 2
* [misc]none:  (5.123849747663666e+133): 3
* [misc]none:  (4.007761912625816e-148): 1
* [misc]none:  (3.321054281872602e+251): 0
* [misc]none:  (-7.33347091133757e-103): 1
* [misc]none:  (-3.967500572333352e+95): 3
* [misc]none:  (-8.002576117532625e+293): 0
* [misc]none:  (-344.7442723289036): 2
* [misc]none:  (8.452539306620761e+219): 0
* [misc]none:  (-3.8897511496224356e+161): 4
* [misc]none:  (4.4485313287564445e+252): 0
* [misc]none:  (-2.9971297913067123e-296): 1
* [misc]none:  (1.120554825473697e-298): 1
* [misc]none:  (7.175557259725409e-49): 1
* [misc]none:  (4.4800031186106794e-70): 1
* [misc]none:  (-1.3609788364339258e+82): 3
* [misc]none:  (2.5265807746711182e-73): 1
* [misc]none:  (1.4440898226736705e-53): 1
* [misc]none:  (-4.651815532356965e+285): 0
* [misc]none:  (-1.223165056942955e+279): 0
* [misc]none:  (2.3912903471184356e-134): 1
* [misc]none:  (3.53511184703484e+158): 4
* [misc]none:  (-2.8955398952451435e+131): 3
* [misc]none:  (1.5780761566396397e+125): 0
* [misc]none:  (1.534059348183312e-189): 1
* [misc]none:  (2.8419420301747055e+90): 2
* [misc]none:  (-2.318158899615234e+28): 5
* [misc]none:  (8.976998414840432e+184): 0
* [misc]none:  (3.9122094377392414e+59): 3
* [misc]none:  (-6.588522440277298e+124): 4
* [misc]none:  (-8.890171102288788e+241): 0
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* [misc]none:  (-2.0229301807644786e+90): 2
* [misc]none:  (4.588817619865515e-83): 1
* [misc]none:  (6.908716276621429e+42): 2
* [misc]none:  (1.074034252081928e-96): 1
* [misc]none:  (-2.0525626505030474e-205): 1
* [misc]none:  (1.43328810513268e+174): 0
* [misc]none:  (-3.517237475307537e+70): 3
* [misc]none:  (1.6570172448601563e-137): 1
* [misc]none:  (2.4048926517811354e+66): 6
* [misc]none:  (-1.2386076426807104e+281): 0
* [misc]none:  (4.0623211606609595e-228): 1
* [misc]none:  (1.5982222044177176e+181): 0
* [misc]none:  (8.398043771606399e+47): 2
* [misc]none:  (-6.552213310391902e+218): 0
* [misc]none:  (-2.461870212435176e+181): 0
* [misc]none:  (-9.04145577094214e-51): 1
* [misc]none:  (6.730955893129463e-197): 1
* [misc]none:  (6.724679859609688e-169): 1
* [misc]none:  (1.4230714989143866e-75): 1
* [misc]none:  (3.493084834288097e-125): 1
* [misc]none:  (-8.87002524437924e-05): 1
* [misc]none:  (-9.534297923953677e-238): 1
* [misc]none:  (8.932193317773552e+156): 4
* [misc]none:  (-4.82948997845691e+115): 2
* [misc]none:  (-2.844669102107347e+110): 2
* [misc]none:  (6.614130481633629e+300): 0
* [misc]none:  (-6.631482835790804e+75): 2
* [misc]none:  (-2.927893218629978e+198): 0
* [misc]none:  (-5.425958198218161e-146): 1
* [misc]none:  (-5.212281525360505e+119): 0
* [misc]none:  (1.3240207557849338e+291): 0
* [misc]none:  (-6.155236203506664e+276): 0
* [misc]none:  (3.2574885636926814e-211): 1
* [misc]none:  (-9.779940061204298e+60): 3
* [misc]none:  (1.3680169753287455e-53): 1
* [misc]none:  (-1.5172504298350683e-122): 1
* [misc]none:  (2.2957389429922706e-176): 1
* [misc]none:  (1.3610327499536486e+226): 0
* [misc]none:  (4.84788597345363e+32): 4
* [misc]none:  (1.0657402022625375e+129): 5
* [misc]none:  (-6.206729553564092e+301): 0
* [misc]none:  (1.7927880379985524e+252): 0
* [misc]none:  (-8.795577755360774e-193): 1
* [misc]none:  (1.0006462262322276e+238): 0
* [misc]none:  (-9.304691570184222e+30): 2
* [misc]none:  (1.9963004369674967e-80): 1
* [misc]none:  (1.4604179220567222e+231): 0
* [misc]none:  (1.5216315041338872e-218): 1
* [misc]none:  (1.6707151526371295e-190): 1
* [misc]none:  (5.1990169359560766e-256): 1
* [misc]none:  (-6.08679419260233e+77): 2
* [misc]none:  (-2.864119470500123e-178): 1
* [misc]none:  (-4.976800097081315e-07): 1
* [misc]none:  (8.044445972631143e-28): 1
* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
* [misc]none:  (7.311006071291519e-101): 1
* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 2
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
* [misc]none:  (8.382633428275648e-297): 1
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 4
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 4
* [misc]none:  (1.4474621781713568e+65): 0
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 2
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 2
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  Picked alt (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (sin x) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
* [misc]backup-simplify:  Simplify -1/6 into -1/6
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
* [misc]backup-simplify:  Simplify 1/120 into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1/120 (pow x 3)) (+ (* -1/6 x) (* 1 (/ 1 x)))) into (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 x))) (pow (/ 1 x) 2)) into (/ (sin x) (pow x 2))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (sin (/ -1 x)) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ -1 (/ 1 (- x)))) (pow (/ 1 (- x)) 2)) into (/ (sin x) (pow x 2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (sin x) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
* [misc]backup-simplify:  Simplify -1/6 into -1/6
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
* [misc]backup-simplify:  Simplify 1/120 into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1/120 (pow x 3)) (+ (* -1/6 x) (* 1 (/ 1 x)))) into (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ 1 (/ 1 x))) (pow (/ 1 x) 2)) into (/ (sin x) (pow x 2))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (sin (/ -1 x)) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sin (/ -1 (/ 1 (- x)))) (pow (/ 1 (- x)) 2)) into (/ (sin x) (pow x 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (* x x) (sin x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (* x x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360
* [misc]backup-simplify:  Simplify 7/360 into 7/360
* [misc]backup-simplify:  Simplify (+ (* 7/360 (pow x 5)) (+ (* 1/6 (pow x 3)) (* 1 x))) into (+ (* 1/6 (pow x 3)) (+ (* 7/360 (pow x 5)) x))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sin (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 x) (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sin (/ 1 (/ 1 x)))) (pow (/ 1 (/ 1 x)) 2)) into (/ (pow x 2) (sin x))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- x)) (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sin (/ -1 (/ 1 (- x))))) (pow (/ 1 (/ 1 (- x))) 2)) into (/ (pow x 2) (sin x))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin x) (* x x)) (tan (/ x 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin x) (* x x)) (tan (/ x 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin x) (* x x)) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin x) (* x x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (log 1/2) into (log 1/2)
* [misc]backup-simplify:  Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin x) (* x x)) (tan (/ x 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin x) (* x x)) (tan (/ x 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin x) (* x x)) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin x) (* x x)) (tan (/ x 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1/2) into 1/2
* [misc]backup-simplify:  Simplify (log 1/2) into (log 1/2)
* [misc]backup-simplify:  Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3)
* [misc]backup-simplify:  Simplify (pow 1/2 1/3) into (pow 1/2 1/3)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log 1/2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6
* [misc]backup-simplify:  Simplify (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2))) into -1/24
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/12) (+ (* 0 0) (* 0 (log 1/2)))) into -1/36
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/36 1) 1)))) into (* -1/36 (pow 1/2 1/3))
* [misc]backup-simplify:  Simplify (* -1/36 (pow 1/2 1/3)) into (* -1/36 (pow 1/2 1/3))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -1/12) (+ (* 0 0) (* 0 (log 1/2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/1440) (+ (* 0 0) (+ (* 0 -1/12) (+ (* 0 0) (* 0 (log 1/2)))))) into -1/4320
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/36 2) 2)) (* (/ (pow -1/4320 1) 1)))) into (* 1/6480 (pow 1/2 1/3))
* [misc]backup-simplify:  Simplify (* 1/6480 (pow 1/2 1/3)) into (* 1/6480 (pow 1/2 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 1/6480 (pow 1/2 1/3)) (pow x 4)) (+ (* (* -1/36 (pow 1/2 1/3)) (pow x 2)) (pow 1/2 1/3))) into (- (+ (* 1/6480 (* (pow 1/2 1/3) (pow x 4))) (pow 1/2 1/3)) (* 1/36 (* (pow 1/2 1/3) (pow x 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))) into (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) into (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) (tan (/ (/ 1 x) 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 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]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 1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) 1) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))) into (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) into (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) into (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x))))) into (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 x)) (sin (/ 1 x))) (cos (/ 1/2 x)))) (* 2 (log x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log (/ (* (sin (/ 1/2 (/ 1 x))) (sin (/ 1 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) (* 2 (log (/ 1 x)))))) into (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ 1 x))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) into (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Rewrote expression to (pow (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))))) in x
* [misc]taylor:  Taking taylor expansion of 1/3 in x
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (tan (/ (/ 1 (- x)) 2))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 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]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 -1) into 1
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) 1) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))) into (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) into (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) into (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sin (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))) into (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x)))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (* 2 (log x)) (log (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (* 2 (log (/ 1 (- x)))) (log (/ (* (sin (/ -1/2 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))))))) into (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ -1 x))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (pow (/ (sin x) (* x x)) 1) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 2 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (exp (- (log (sin x)) (log (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (- (log (sin x)) (log (* x x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (- (log (sin x)) (log (* x x)))
* [exit]simplify:  Simplified to (- (log (sin x)) (log (* x x)))
* * * * [misc]progress:  [ 3 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (exp (log (/ (sin x) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (log (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (log (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (log (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 4 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (log (exp (/ (sin x) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (exp (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 5 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* (* x x) (* x x)) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* (* (sin x) (sin x)) (sin x)) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* * * * [misc]progress:  [ 6 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x)))) (cbrt (/ (sin x) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* [enter]simplify:  Simplifying (cbrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 7 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (cbrt (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (/ (sin x) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* * * * [misc]progress:  [ 8 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (sqrt (/ (sin x) (* x x))) (sqrt (/ (sin x) (* x x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 9 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (- (sin x)) (- (* x x))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (- (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 10 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (/ (cbrt (sin x)) x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) x)
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) x) (cbrt (sin x)))
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) x) (cbrt (sin x)))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) x)
* * * * [misc]progress:  [ 11 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (/ (sqrt (sin x)) x) (/ (sqrt (sin x)) x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* * * * [misc]progress:  [ 12 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (/ 1 x) (/ (sin x) x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 13 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* 1 (/ (sin x) (* x x))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 14 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (sin x) (/ 1 (* x x))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 15 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ 1 (/ (* x x) (sin x))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* * * * [misc]progress:  [ 16 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (/ (sin x) x) x) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 17 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* x x) (cbrt (sin x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (sin x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (sin x)))
* * * * [misc]progress:  [ 18 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sqrt (sin x)) (/ (* x x) (sqrt (sin x)))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* * * * [misc]progress:  [ 19 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ 1 (/ (* x x) (sin x))) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* * * * [misc]progress:  [ 20 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (pow (/ (sin x) (* x x)) 1) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 21 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (exp (- (log (sin x)) (log (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (- (log (sin x)) (log (* x x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (- (log (sin x)) (log (* x x)))
* [exit]simplify:  Simplified to (- (log (sin x)) (log (* x x)))
* * * * [misc]progress:  [ 22 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (exp (log (/ (sin x) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (log (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (log (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (log (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 23 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (log (exp (/ (sin x) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (exp (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 24 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* (* x x) (* x x)) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* (* (sin x) (sin x)) (sin x)) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* * * * [misc]progress:  [ 25 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x)))) (cbrt (/ (sin x) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (* x x))) (cbrt (/ (sin x) (* x x))))
* [enter]simplify:  Simplifying (cbrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 26 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (cbrt (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (/ (sin x) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (/ (sin x) (* x x)) (/ (sin x) (* x x))) (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (sin x) (* x x)) 3)
* * * * [misc]progress:  [ 27 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (sqrt (/ (sin x) (* x x))) (sqrt (/ (sin x) (* x x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 28 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (- (sin x)) (- (* x x))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (- (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 29 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (/ (cbrt (sin x)) x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) x)
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) x) (cbrt (sin x)))
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) x) (cbrt (sin x)))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) x)
* * * * [misc]progress:  [ 30 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (/ (sqrt (sin x)) x) (/ (sqrt (sin x)) x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* * * * [misc]progress:  [ 31 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (/ 1 x) (/ (sin x) x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 32 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* 1 (/ (sin x) (* x x))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 33 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (* (sin x) (/ 1 (* x x))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 34 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ 1 (/ (* x x) (sin x))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* * * * [misc]progress:  [ 35 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (/ (sin x) x) x) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 36 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* x x) (cbrt (sin x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (sin x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (sin x)))
* * * * [misc]progress:  [ 37 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sqrt (sin x)) (/ (* x x) (sqrt (sin x)))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* * * * [misc]progress:  [ 38 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ 1 (/ (* x x) (sin x))) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* [exit]simplify:  Simplified to (/ (* x x) (sin x))
* * * * [misc]progress:  [ 39 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (pow (/ (* x x) (sin x)) 1)))))>
* * * * [misc]progress:  [ 40 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (exp (- (log (* x x)) (log (sin x))))))))>
* [enter]simplify:  Simplifying (- (log (* x x)) (log (sin x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (- (log (* x x)) (log (sin x)))
* [exit]simplify:  Simplified to (- (log (* x x)) (log (sin x)))
* * * * [misc]progress:  [ 41 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (exp (log (/ (* x x) (sin x))))))))>
* [enter]simplify:  Simplifying (log (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (log (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (log (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 42 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (log (exp (/ (* x x) (sin x))))))))>
* [enter]simplify:  Simplifying (exp (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (exp (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (exp (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 43 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sin x) (sin x)) (sin x))))))))>
* [enter]simplify:  Simplifying (/ (* (* (* x x) (* x x)) (* x x)) (* (* (sin x) (sin x)) (sin x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (246 enodes)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sin x)) 3)
* * * * [misc]progress:  [ 44 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (* (cbrt (/ (* x x) (sin x))) (cbrt (/ (* x x) (sin x)))) (cbrt (/ (* x x) (sin x))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* x x) (sin x))) (cbrt (/ (* x x) (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* x x) (sin x))) (cbrt (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* x x) (sin x))) (cbrt (/ (* x x) (sin x))))
* [enter]simplify:  Simplifying (cbrt (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (cbrt (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 45 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (cbrt (* (* (/ (* x x) (sin x)) (/ (* x x) (sin x))) (/ (* x x) (sin x))))))))>
* [enter]simplify:  Simplifying (* (* (/ (* x x) (sin x)) (/ (* x x) (sin x))) (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (/ (* x x) (sin x)) 3)
* * * * [misc]progress:  [ 46 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (sqrt (/ (* x x) (sin x))) (sqrt (/ (* x x) (sin x))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sin x)))
* [enter]simplify:  Simplifying (sqrt (/ (* x x) (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (sqrt (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 47 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (- (* x x)) (- (sin x)))))))>
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* [enter]simplify:  Simplifying (- (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* * * * [misc]progress:  [ 48 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (/ x (* (cbrt (sin x)) (cbrt (sin x)))) (/ x (cbrt (sin x))))))))>
* [enter]simplify:  Simplifying (/ x (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ x (* (cbrt (sin x)) (cbrt (sin x))))
* [exit]simplify:  Simplified to (/ x (* (cbrt (sin x)) (cbrt (sin x))))
* [enter]simplify:  Simplifying (/ x (cbrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ x (cbrt (sin x)))
* * * * [misc]progress:  [ 49 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (/ x (sqrt (sin x))) (/ x (sqrt (sin x))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* [enter]simplify:  Simplifying (/ x (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ x (sqrt (sin x)))
* * * * [misc]progress:  [ 50 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (/ x 1) (/ x (sin x)))))))>
* [enter]simplify:  Simplifying (/ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to x
* [exit]simplify:  Simplified to x
* [enter]simplify:  Simplifying (/ x (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ x (sin x))
* [exit]simplify:  Simplified to (/ x (sin x))
* * * * [misc]progress:  [ 51 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* 1 (/ (* x x) (sin x)))))))>
* * * * [misc]progress:  [ 52 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (* (* x x) (/ 1 (sin x)))))))>
* [enter]simplify:  Simplifying (/ 1 (sin x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sin x))
* [exit]simplify:  Simplified to (/ 1 (sin x))
* * * * [misc]progress:  [ 53 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ 1 (/ (sin x) (* x x)))))))>
* [enter]simplify:  Simplifying (/ (sin x) (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (* x x))
* [exit]simplify:  Simplified to (/ (sin x) (* x x))
* * * * [misc]progress:  [ 54 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (/ (* x x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (/ x (cbrt (sin x))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (/ x (cbrt (sin x))))
* * * * [misc]progress:  [ 55 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (/ (* x x) (sqrt (sin x))) (sqrt (sin x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (sin x)))
* * * * [misc]progress:  [ 56 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (/ (* x x) 1) (sin x))))))>
* [enter]simplify:  Simplifying (/ (* x x) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* x x)
* [exit]simplify:  Simplified to (* x x)
* * * * [misc]progress:  [ 57 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ x (/ (sin x) x))))))>
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 58 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 1/3)) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 59 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (pow (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) 1)) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 60 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (exp (log (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (log (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (log (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [exit]simplify:  Simplified to (log (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * * * [misc]progress:  [ 61 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (log (exp (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (exp (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [exit]simplify:  Simplified to (exp (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * * * [misc]progress:  [ 62 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (* (cbrt (/ (sin x) (* x x))) (cbrt (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (cbrt (/ (sin x) (* x x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (* x x)))
* [enter]simplify:  Simplifying (cbrt (tan (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (tan (/ x 2)))
* [exit]simplify:  Simplified to (cbrt (tan (/ x 2)))
* * * * [misc]progress:  [ 63 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (/ (cbrt (* (sin x) (sin (/ x 2)))) (cbrt (* (* x x) (cos (/ x 2)))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (cbrt (* (sin x) (sin (/ x 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin (/ x 2))))
* [enter]simplify:  Simplifying (cbrt (* (* x x) (cos (/ x 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* x x) (cos (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (* x x) (cos (/ x 2))))
* * * * [misc]progress:  [ 64 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (/ (cbrt (* (/ (sin x) (* x x)) (sin (/ x 2)))) (cbrt (cos (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (cbrt (* (/ (sin x) (* x x)) (sin (/ x 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) (* x x)) (sin (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) (* x x)) (sin (/ x 2))))
* [enter]simplify:  Simplifying (cbrt (cos (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cos (/ x 2)))
* [exit]simplify:  Simplified to (cbrt (cos (/ x 2)))
* * * * [misc]progress:  [ 65 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (/ (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* x x)))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (cbrt (* (sin x) (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (tan (/ x 2))))
* [enter]simplify:  Simplifying (cbrt (* x x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (* x x))
* [exit]simplify:  Simplified to (cbrt (* x x))
* * * * [misc]progress:  [ 66 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (* (* (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))) (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))) (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))) (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [exit]simplify:  Simplified to (cbrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * * * [misc]progress:  [ 67 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 68 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (* (sqrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (sqrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * * * [misc]progress:  [ 69 / 81 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (* 1 (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* * * * [misc]progress:  [ 70 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (456 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (+ (* (* x 1/120) (* x x)) (- (/ 1 x) (* 1/6 x))))) (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))
* * * * [misc]progress:  [ 71 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 72 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 73 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (- (+ (/ 1 x) (* 1/120 (pow x 3))) (* 1/6 x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (tan (/ x 2)) (- (* (* 1/120 x) (* x x)) (- (* x 1/6) (/ 1 x))))) (* (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* * * * [misc]progress:  [ 74 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 75 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (pow x 2)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 76 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (+ (* 1/6 (pow x 3)) (+ (* 7/360 (pow x 5)) x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (+ (* 1/6 (pow x 3)) (+ (* 7/360 (pow x 5)) x)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (tan (/ x 2)) (+ (+ (* (* x x) (* x 1/6)) (* 7/360 (pow x 5))) x))) (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))
* * * * [misc]progress:  [ 77 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (pow x 2) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (pow x 2) (sin x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 78 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (pow x 2) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (pow x 2) (sin x)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x)))
* * * * [misc]progress:  [ 79 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (- (+ (* 1/6480 (* (pow 1/2 1/3) (pow x 4))) (pow 1/2 1/3)) (* 1/36 (* (pow 1/2 1/3) (pow x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (- (+ (* 1/6480 (* (pow 1/2 1/3) (pow x 4))) (pow 1/2 1/3)) (* 1/36 (* (pow 1/2 1/3) (pow x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (+ (cbrt 1/2) (* (- (* (pow x 4) 1/6480) (* (* x x) 1/36)) (cbrt 1/2))) (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))))
* * * * [misc]progress:  [ 80 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ 1 x))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ 1 x))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (/ 1 x) (/ 1 x)) (/ (sin (* x 1/2)) (/ (cos (* x 1/2)) (sin x))))) (* (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* * * * [misc]progress:  [ 81 / 81 ] simplifiying candidate #<alt-event (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ -1 x))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (exp (* 1/3 (+ (log (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (* 2 (log (/ -1 x))))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (/ -1 x) (/ -1 x)) (/ (sin x) (/ (cos (* x 1/2)) (sin (* x 1/2)))))) (* (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (x) (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x))))))> #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))> #<alt-delta (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))> #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))> #<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))> #<alt-delta (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))))> #<alt-delta (λ (x) (/ (/ (- 1 (cos x)) x) x))>)
* [misc]regimes:  searching between 0.4997867101269156 and 0.497819332826051 on (/ (- 1 (cos x)) (* x x))
* [misc]regimes:  searching between -8.87002524437924e-05 and -344.7442723289036 on x
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 0.228970627026966 and 8.96636707501737e-13 on x
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 0.49999999967217756 and 0.4978193328260514 on (* (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2))))) (cbrt (/ (tan (/ x 2)) (/ (* x x) (sin x)))))
* [misc]regimes:  searching between 19613094.146925047 and 0.5 on (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 0.49978671012691556 and 0.497819332826051 on (* (- 1 (cos x)) (/ 1 (* x x)))
* [misc]regimes:  searching between 0.49999999967217773 and 0.4978193328260517 on (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))
* [misc]regimes:  searching between 4.9406564584125e-324 and 0.0 on (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))
* [misc]regimes:  searching between 0.0 and -3.3038454881830518e-307 on (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 4.87588239619874e-309 and 0.0 on (/ (sqrt (* (tan (/ x 2)) (sin x))) x)
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 0.49978671012697745 and 0.4978193328260513 on (/ (- (pow 1 3) (pow (cos x) 3)) (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)))
* [misc]regimes:  searching between 4.9406564584125e-324 and 0.0 on (/ (/ (- 1 (cos x)) x) x)
* [misc]regimes:  Found splitpoints: (#s(sp 0 x -0.013290430531004491) #s(sp 1 x 4.3137389552750176e-07) #s(sp 0 x +nan.0)) , with alts (#<alt-delta (λ (x) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)))> #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>)
* [enter]simplify:  Simplifying (if (<= x -0.013290430531004491) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x)) (if (<= x 4.3137389552750176e-07) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) (* (/ (sqrt (* (tan (/ x 2)) (sin x))) x) (/ (sqrt (* (tan (/ x 2)) (sin x))) x))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* [exit]simplify:  Simplified to (if (or (<= x -0.013290430531004491) (not (<= x 4.3137389552750176e-07))) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))
* * * * [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 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs