* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 126 additional inputs, on iter 1 have 130 / 256
* * * * [misc]points:  Computing exacts on every 7 of 126 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 126 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 126 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 61 additional inputs, on iter 2 have 195 / 256
* * * * [misc]points:  Computing exacts on every 3 of 61 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 61 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 23 additional inputs, on iter 3 have 233 / 256
* * * * [misc]points:  Computing exacts for 23 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 12 additional inputs, on iter 4 have 244 / 256
* * * * [misc]points:  Computing exacts for 12 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 5 have 253 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 257 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (pow a2 2) (pow a1 2))) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) 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 (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) 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 (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 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 (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 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 (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 (- (+ (* 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 (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-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)))) 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 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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) into 0
* [misc]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) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt 2)))
* * [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 (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (- (cos th)) (- (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [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 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 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 (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cos th) (/ 1 (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))
* * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1))>
* * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))))
* * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (log (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (log (/ (cos th) (sqrt 2))))))
* * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* (sqrt 2) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* (sqrt 2) 2)))))
* * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (208 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))))
* * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th)))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (* (* a2 a2) (sqrt 2)) (- (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (* (* a2 a2) (sqrt 2)) (- (* a2 a2) (* a1 a1))))))
* * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt 2) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (sqrt 2)) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (+ a1 a2) (sqrt 2)) (- a1 a2))))
* * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* a2 a2) (/ (sqrt 2) (cos th)))))
* * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))))
* * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [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 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 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 (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))))
* * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))>
* * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (* (exp (* a1 a1)) (exp (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (exp (* a1 a1)) (exp (* a2 a2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (exp (+ (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (pow (+ (* a1 a1) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (exp (log (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (exp (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* 1 (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 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 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a1 2)) into a1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 a2) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (* a2 1)) into a2
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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 (- (+ (* 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 (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))) 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 (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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) into 0
* [misc]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) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a1 2)) into a1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 a2) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (* a2 1)) into a2
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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 (- (+ (* 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 (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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)))) 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 (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 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) into 0
* [misc]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) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a1 2)) into a1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow a2 2) (pow a1 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow a2 2) (pow a1 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2)))) into (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (sqrt (+ (pow a2 2) (pow a1 2)))))) into (- (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2)))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2))))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (sqrt (pow a2 2)) into a2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ a2 (sqrt 2))) into (* 1/2 (/ a2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ a2 (sqrt 2)))) into (- (* 1/2 (/ a2 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (/ 1/2 a2)) (+ (* 0 0) (* 0 a2))) into (* 1/2 (/ 1 (* (sqrt 2) a2)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2) a2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqrt 2) a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (sqrt (+ (pow a2 2) (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (* a2 (* 1 1))) into (/ a2 (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) 1) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (cos (/ 1 th)) (sqrt 2)))) 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 (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 th)) (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* 1 (* (/ 1 (/ 1 a1)) 1))) into (/ (* a1 (cos th)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (* (/ (cos (/ -1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ -1 th)) (sqrt 2)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) 1) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) 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 (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (* 1 (* (/ 1 (/ 1 (- a1))) 1))) into (* -1 (/ (* a1 (cos th)) (sqrt 2)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (pow (+ (* a1 a1) (* a2 a2)) 1/2)))>
* * * * [misc]progress:  [ 2 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 1)))>
* * * * [misc]progress:  [ 3 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (exp (log (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 4 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (log (exp (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 5 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 6 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 7 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))))
* * * * [misc]progress:  [ 8 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
* * * * [misc]progress:  [ 9 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 10 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow a1 3) (pow a1 3)) (pow (* a2 a2) 3)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* (pow a1 3) (pow a1 3)) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))))
* * * * [misc]progress:  [ 11 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 12 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 13 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (sqrt (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (sqrt (+ (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 14 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 15 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (pow (+ (* a1 a1) (* a2 a2)) 1/2)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 16 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 1)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 17 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (exp (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 18 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (log (exp (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 19 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 20 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (cbrt (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 21 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 22 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 23 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 24 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (/ (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (pow a1 3) (pow a1 3)) (pow (* a2 a2) 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (/ (sqrt (+ (* (pow a1 3) (pow a1 3)) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 25 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (/ (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (/ (sqrt (* (- (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 26 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 27 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (fabs (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (fabs (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 28 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* 1 (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 29 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (/ (cos th) (sqrt 2)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 30 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt 2)))
* * [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 (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 31 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (exp (log (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 32 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (log (exp (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 33 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 34 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 35 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 36 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 37 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (- (cos th)) (- (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 38 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [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 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 39 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 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 (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 40 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 41 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 42 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 43 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 44 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 45 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 46 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (* 1 (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (* 1 (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 47 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* 1 (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 48 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cos th) (/ 1 (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 49 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (/ (sqrt 2) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 50 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 51 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 52 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) 1) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) 1) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 53 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 54 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 55 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (/ (sqrt 2) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 56 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (pow (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 57 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 58 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (+ (log (sqrt (+ (* a2 a2) (* a1 a1)))) (- (log (cos th)) (log (sqrt 2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 59 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (log (/ (cos th) (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (+ (log (/ (cos th) (sqrt 2))) (log (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 60 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 61 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 62 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) 2) (* (cos th) (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) 2) (* (cos th) (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 63 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (418 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cos th) 2) (/ (sqrt 2) (cos th))) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cos th) 2) (/ (sqrt 2) (cos th))) (* (cos th) (+ (* a2 a2) (* a1 a1)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 64 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 65 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 66 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 67 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (sqrt 2) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (sqrt (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))) (cos th)) (* (sqrt 2) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (sqrt (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 68 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (sqrt 2) (sqrt (- (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (sqrt 2) (sqrt (- (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt 2) (sqrt (- (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (sqrt (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (sqrt 2) (sqrt (- (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 69 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 70 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 71 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 72 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 73 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt 1)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt 1)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 74 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 75 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ (cos th) (sqrt 2)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 76 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 77 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 78 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [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 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 79 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 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 (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 80 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 81 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 82 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 83 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 84 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 85 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 86 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* 1 (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 87 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 88 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cos th) (* (/ 1 (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cos th) (* (/ 1 (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 89 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (/ (cos th) (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (* (/ (cos th) (sqrt 2)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (* a1 a1))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 90 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (/ (cos th) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (* (/ (cos th) (sqrt 2)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 91 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 92 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 93 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) a2))>
* [enter]simplify:  Simplifying a2
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a2
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) a2))
* * * * [misc]progress:  [ 94 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) a1))>
* [enter]simplify:  Simplifying a1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a1
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) a1))
* * * * [misc]progress:  [ 95 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* -1 a1)))>
* [enter]simplify:  Simplifying (* -1 a1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- a1)
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (- a1)))
* * * * [misc]progress:  [ 96 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) a2) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying a2
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a2
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) a2) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 97 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) a1) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying a1
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to a1
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) a1) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 98 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* -1 a1)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* -1 a1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- a1)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (- a1)) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 99 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 100 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 101 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 102 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ a2 (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ a2 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ a2 (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ a2 (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 103 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* a1 (cos th)) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* a1 (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) a1) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 104 / 104 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* -1 (/ (* a1 (cos th)) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* -1 (/ (* a1 (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (- a1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cos th) (/ (- a1) (sqrt 2))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 3/4 (/ 1 (sqrt 2)))) into (- (* 3/4 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 7/16 (/ 1 (sqrt 2))) into (/ 7/16 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 7/16 (sqrt 2)) (pow th 4)) (+ (* (- (* 3/4 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1/2 (sqrt 2)))) into (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (pow (cos th) 3) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify -3/2 into -3/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8
* [misc]backup-simplify:  Simplify 7/8 into 7/8
* [misc]backup-simplify:  Simplify (+ (* 7/8 (pow th 4)) (+ (* -3/2 (pow th 2)) 1)) into (- (+ (* 7/8 (pow th 4)) 1) (* 3/2 (pow th 2)))
* [misc]approximate:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]backup-simplify:  Simplify (pow (cos (/ 1 th)) 3) into (pow (cos (/ 1 th)) 3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow (cos (/ 1 (/ 1 th))) 3) into (pow (cos th) 3)
* [misc]approximate:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]backup-simplify:  Simplify (pow (cos (/ -1 th)) 3) into (pow (cos (/ -1 th)) 3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow (cos (/ -1 (/ 1 (- th)))) 3) into (pow (cos th) 3)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in a2
* [misc]taylor:  Taking taylor expansion of 3 in a2
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (log (cos th)) into (log (cos th))
* [misc]backup-simplify:  Simplify (* 3 (log (cos th))) into (* 3 (log (cos th)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos th)))) into (pow (cos th) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos th) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in a1
* [misc]taylor:  Taking taylor expansion of 3 in a1
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (log (cos th)) into (log (cos th))
* [misc]backup-simplify:  Simplify (* 3 (log (cos th))) into (* 3 (log (cos th)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos th)))) into (pow (cos th) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos th) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (* 0 (pow a2 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into -3/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into -1/2
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 0) (* (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) (* 1/2 (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) (* 1/2 (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) (* 1/2 (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))
* [misc]backup-simplify:  Simplify (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) into (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) 0) into (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)))) into (- (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 1) (+ (* 0 0) (* 0 (pow a2 2)))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1/2 (sqrt 2)) 1/3) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) 1) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1/2 (sqrt 2)) 1/3) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 0) (+ (* (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (* 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow (* a2 (* 1 1)) 2)) (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow (* 1 (* a1 1)) 2))) into (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in a2
* [misc]taylor:  Taking taylor expansion of 3 in a2
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (* (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in a1
* [misc]taylor:  Taking taylor expansion of 3 in a1
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1/2 (sqrt 2)) 1/3)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1/2 (sqrt 2)) 1/3)))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1/2 (sqrt 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1 th)) (pow a2 2)) 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (+ (* (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1/2 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1 th)) (pow a2 2)) 0) (+ (* 0 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1/2 (sqrt 2)) 1/3)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1/2 (sqrt 2)) 1/3)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in a2
* [misc]taylor:  Taking taylor expansion of 3 in a2
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in a1
* [misc]taylor:  Taking taylor expansion of 3 in a1
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1/2 (sqrt 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1/2 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1/2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3)) into (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (+ (* (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1/2 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (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 (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1/2 (sqrt 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 (/ 1 (- th)))) (pow (/ 1/2 (sqrt 2)) 1/3)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (* (pow (/ 1/2 (sqrt 2)) 1/3) (cos (/ -1 (/ 1 (- th))))) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos th) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos th) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos th) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos th)))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos th))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1/2 (sqrt 2)) 1/3) into (pow (/ 1/2 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into -3/2
* [misc]backup-simplify:  Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into -1/2
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1/2 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 7/16 (/ 1 (sqrt 2)))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 24) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))))) into -1/12
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 4)) (+ (* (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 2)) (pow (/ 1/2 (sqrt 2)) 1/3))) into (- (+ (* 1/24 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 4))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 2))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]backup-simplify:  Simplify (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (pow (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* (sqrt 2) 2)) in th
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of 3 in th
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3)
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) 2) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (sqrt 2) 2) into (* 2 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]backup-simplify:  Simplify (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (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 (pow (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1)) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 2 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (exp (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* (log (cos th)) 3) (log (* (sqrt 2) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (- (* (log (cos th)) 3) (log (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (exp (- (* (log (cos th)) 3) (log (* 2 (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 3 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (exp (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* (log (cos th)) 3) (log (* (sqrt 2) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (- (* (log (cos th)) 3) (log (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (exp (- (* (log (cos th)) 3) (log (* 2 (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 4 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (exp (- (log (pow (cos th) 3)) (log (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (pow (cos th) 3)) (log (* (sqrt 2) 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (- (* 3 (log (cos th))) (log (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (exp (- (* 3 (log (cos th))) (log (* 2 (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 5 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (exp (log (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 6 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (log (exp (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 7 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (cbrt (/ (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) (* (* (* (sqrt 2) 2) (* (sqrt 2) 2)) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) (* (* (* (sqrt 2) 2) (* (sqrt 2) 2)) (* (sqrt 2) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* [exit]simplify:  Simplified to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (cbrt (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 8 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 9 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (cbrt (* (* (/ (pow (cos th) 3) (* (sqrt 2) 2)) (/ (pow (cos th) 3) (* (sqrt 2) 2))) (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 10 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 11 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (- (pow (cos th) 3)) (- (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 12 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)) (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (cos th)) (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (cbrt (cos th)) 3) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (cos th)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 13 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow (sqrt (cos th)) 3) (sqrt 2)) (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (sqrt (cos th)) 3) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (pow (sqrt (cos th)) 3) (sqrt 2)) (* (sqrt (cos th)) (/ (cos th) 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 14 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow 1 3) (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow 1 3) (sqrt 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (cos th) 3) 2)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (* (cos th) (cos th)) (/ 2 (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 15 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (cos th)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) 2)
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 16 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2)) (/ (cbrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cbrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (cos th) 3)) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 17 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)) (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (cos th)) (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (cbrt (cos th)) 3) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (cos th)) (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow (sqrt (cos th)) 3) (sqrt 2)) (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (sqrt (cos th)) 3) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (pow (sqrt (cos th)) 3) (sqrt 2)) (* (sqrt (cos th)) (/ (cos th) 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 19 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (pow 1 3) (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (pow 1 3) (sqrt 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (cos th) 3) 2)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (* (cos th) (cos th)) (/ 2 (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 20 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (cos th) (sqrt 2)) (/ (* (cos th) (cos th)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ (cos th) (sqrt 2)) (/ (* (cos th) (cos th)) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (* (cos th) (cos th)) 2)
* * [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 (/ (* (cos th) (cos th)) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (cos th) (sqrt 2)) (/ (* (cos th) (cos th)) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 21 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ (sqrt (pow (cos th) 3)) (sqrt 2)) (/ (sqrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ (sqrt (pow (cos th) 3)) (sqrt 2)) (/ (sqrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (cos th) 3)) 2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (cos th) 3)) 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ (sqrt (pow (cos th) 3)) (sqrt 2)) (/ (sqrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 22 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (pow (cos th) 3) 2)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (/ (* (cos th) (cos th)) (/ 2 (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 23 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* 1 (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 24 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (pow (cos th) 3) (/ 1 (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 25 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ 1 (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 26 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (/ (pow (cos th) 3) (sqrt 2)) 2)) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 27 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (/ (* (sqrt 2) 2) (pow (cbrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (/ (* (sqrt 2) 2) (pow (cbrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 28 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (sqrt (cos th)) 3) (/ (* (sqrt 2) 2) (pow (sqrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (sqrt (cos th)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (sqrt (cos th)) (cos th)) (/ (* (sqrt 2) 2) (pow (sqrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 29 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow 1 3) (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ 1 (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 30 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (/ (* (sqrt 2) 2) (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (cos th))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (/ (* (sqrt 2) 2) (cos th)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 31 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (/ (* (sqrt 2) 2) (cbrt (pow (cos th) 3))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (/ (* (sqrt 2) 2) (cbrt (pow (cos th) 3))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 32 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (/ (* (sqrt 2) 2) (pow (cbrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (/ (* (sqrt 2) 2) (pow (cbrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 33 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (sqrt (cos th)) 3) (/ (* (sqrt 2) 2) (pow (sqrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (sqrt (cos th)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (sqrt (cos th)) (cos th)) (/ (* (sqrt 2) 2) (pow (sqrt (cos th)) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 34 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow 1 3) (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ 1 (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 35 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (cos th) (/ (* (sqrt 2) 2) (* (cos th) (cos th))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (cos th) (/ (* (sqrt 2) 2) (* (cos th) (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 36 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (sqrt (pow (cos th) 3)) (/ (* (sqrt 2) 2) (sqrt (pow (cos th) 3))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (pow (cos th) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (cos th) 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (sqrt (pow (cos th) 3)) (/ (* (sqrt 2) 2) (sqrt (pow (cos th) 3))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 37 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ 1 (/ (* (sqrt 2) 2) (pow (cos th) 3)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 38 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (exp (* (log (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (log (cos th)) 3)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (log (cos th)) 3)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (exp (* (log (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 39 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (exp (* (log (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 40 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) (* 1 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) (* 1 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 41 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (pow (cbrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (pow (cbrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 42 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow (sqrt (cos th)) 3) (pow (sqrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (sqrt (cos th)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (sqrt (cos th)) (cos th)) (pow (sqrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 43 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow 1 3) (pow (cos th) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* 1 (pow (cos th) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 44 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 45 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (pow (cos th) 3) 1) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 46 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (exp (log (pow (cos th) 3))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 47 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (log (exp (pow (cos th) 3))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 48 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (cbrt (pow (cos th) 3))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 49 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (cbrt (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 50 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (pow (cbrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (pow (cbrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 51 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow (sqrt (cos th)) 3) (pow (sqrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (sqrt (cos th)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (sqrt (cos th)) (cos th)) (pow (sqrt (cos th)) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 52 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (pow 1 3) (pow (cos th) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* 1 (pow (cos th) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 53 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (* (cos th) (cos th))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 54 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (cos th))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cos th))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 55 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (sqrt (pow (cos th) 3)) (sqrt (pow (cos th) 3))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 56 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* 1 (pow (cos th) 3)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 57 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) 1))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) 1))
* * * * [misc]progress:  [ 58 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) 1))>
* * * * [misc]progress:  [ 59 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (log (+ (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (log (+ (* a2 a2) (* a1 a1))))))
* * * * [misc]progress:  [ 60 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 61 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 62 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (pow (cos th) 3) (* (sqrt 2) 2)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (/ (pow (cos th) 3) (* (sqrt 2) 2)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* 2 (sqrt 2))))))
* * * * [misc]progress:  [ 63 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 64 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 65 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 66 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (pow (cos th) 3)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (cbrt (* (sqrt 2) 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (cos th) 3)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (313 enodes)
* [exit]simplify:  Simplified to (+ (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (* a1 a1))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (* a1 a1)))) (* (cbrt (* (sqrt 2) 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt 2) 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* a1 a1) (* a1 a1)) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))) (cbrt (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cbrt (pow (cos th) 3)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (+ (* (* a1 a1) (* a1 a1)) (* (+ a2 a1) (* (- a2 a1) (* a2 a2)))) (cbrt (* 2 (sqrt 2))))))
* * * * [misc]progress:  [ 67 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (pow (cos th) 3)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cbrt (* (sqrt 2) 2)) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (cos th) 3)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (457 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (cbrt (* (sqrt 2) 2)) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt 2) 2)) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* [exit]simplify:  Simplified to (* (* (+ a2 a1) (- a1 a2)) (cbrt (* 2 (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (* (+ a2 a1) (- a1 a2)) (cbrt (* 2 (sqrt 2))))))
* * * * [misc]progress:  [ 68 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 69 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 70 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (* (* a2 a2) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2))))
* * * * [misc]progress:  [ 71 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 72 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 73 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) 1) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) 1) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 74 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 75 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (* (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (* (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 76 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))) (* (cbrt (/ (pow (cbrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (* (cbrt (/ (pow (cbrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 77 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) (* (cbrt (/ (pow (sqrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2)))) (* (cbrt (/ (pow (sqrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 78 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow 1 3) (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow 1 3) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ 1 (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 79 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (* (cbrt (/ (cos th) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) (* (cbrt (/ (cos th) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 80 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2))) (* (cbrt (/ (cbrt (pow (cos th) 3)) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos th) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (* (cos th) (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cbrt (pow (cos th) 3)) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 81 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))) (* (cbrt (/ (pow (cbrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (* (cbrt (/ (pow (cbrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 82 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) (* (cbrt (/ (pow (sqrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2)))) (* (cbrt (/ (pow (sqrt (cos th)) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 83 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow 1 3) (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow 1 3) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ 1 (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 84 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (cos th) (sqrt 2))) (* (cbrt (/ (* (cos th) (cos th)) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (cos th) (sqrt 2))) (* (cbrt (/ (* (cos th) (cos th)) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 85 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) (* (cbrt (/ (sqrt (pow (cos th) 3)) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) (* (cbrt (/ (sqrt (pow (cos th) 3)) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 86 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ 1 (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ 1 (sqrt 2))) (* (cbrt (/ (pow (cos th) 3) 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 87 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt 1) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt 1) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 88 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (pow (cos th) 3)) (* (cbrt (/ 1 (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (pow (cos th) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (* (cbrt (/ 1 (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 89 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 90 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (* (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (* (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 91 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 92 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 93 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))))
* * * * [misc]progress:  [ 94 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (pow (cos th) 3)) (+ (* a1 a1) (* a2 a2))) (cbrt (* (sqrt 2) 2))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (cos th) 3)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (cbrt (* (sqrt 2) 2))))
* * * * [misc]progress:  [ 95 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (+ (* a1 a1) (* a2 a2)) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))))>
* * * * [misc]progress:  [ 96 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 1/3) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 97 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) 1) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 98 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 99 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 100 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 101 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 102 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))) (cbrt (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (cbrt (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 103 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) (cbrt (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2)))) (cbrt (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 104 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow 1 3) (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow 1 3) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ 1 (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 105 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (cbrt (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) (cbrt (/ (cos th) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 106 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2))) (cbrt (/ (cbrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos th) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (* (cos th) (/ (cos th) (sqrt 2)))) (cbrt (/ (cbrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 107 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2))) (cbrt (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) (cbrt (/ (pow (cbrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 108 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) (cbrt (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (* (sqrt (cos th)) (/ (cos th) (sqrt 2)))) (cbrt (/ (pow (sqrt (cos th)) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 109 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (pow 1 3) (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow 1 3) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ 1 (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 110 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (* (cos th) (cos th)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (* (cos th) (cos th)) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 111 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) (cbrt (/ (sqrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) (cbrt (/ (sqrt (pow (cos th) 3)) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 112 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ 1 (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt (/ 1 (sqrt 2))) (cbrt (/ (pow (cos th) 3) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 113 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt 1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cbrt 1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 114 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (pow (cos th) 3)) (cbrt (/ 1 (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (pow (cos th) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (cos th) (cbrt (/ 1 (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 115 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cbrt (pow (cos th) 3)) (cbrt (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (pow (cos th) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 116 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 117 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 118 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 119 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 120 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (+ (- (/ 1/2 (sqrt 2)) (* (* th 3/4) (/ th (sqrt 2)))) (/ (* (pow th 4) 7/16) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (+ (- (/ 1/2 (sqrt 2)) (* (* th 3/4) (/ th (sqrt 2)))) (/ (* (pow th 4) 7/16) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 121 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (pow (cos th) 3) (/ 1/2 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (pow (cos th) 3) (/ 1/2 (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 122 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (pow (cos th) 3) (/ 1/2 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (pow (cos th) 3) (/ 1/2 (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 123 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (- (+ (* 7/8 (pow th 4)) 1) (* 3/2 (pow th 2))) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (* 7/8 (pow th 4)) 1) (* 3/2 (pow th 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (- (* (pow th 4) 7/8) (- (* (* th th) 3/2) 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (- (* (pow th 4) 7/8) (- (* (* th th) 3/2) 1)) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 124 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (cos th) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (cos th) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 125 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (cos th) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (cos th) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 126 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow a2 2)) (* (pow a1 2) (pow (/ 1/2 (sqrt 2)) 1/3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1/2 (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (cbrt (/ 1/2 (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 127 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1/2 (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (cbrt (/ 1/2 (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
* * * * [misc]progress:  [ 128 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1/2 (sqrt 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1/2 (sqrt 2)) 1/3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1/2 (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (cbrt (/ 1/2 (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
* * * * [misc]progress:  [ 129 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (- (+ (* 1/24 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 4))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/24 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 4))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow (/ 1/2 (sqrt 2)) 1/3) (pow th 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (+ (* (cbrt (/ 1/2 (sqrt 2))) (- (* (pow th 4) 1/24) (* (* 1/2 th) th))) (cbrt (/ 1/2 (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (+ (* (cbrt (/ 1/2 (sqrt 2))) (- (* (pow th 4) 1/24) (* (* 1/2 th) th))) (cbrt (/ 1/2 (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 130 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 131 / 131 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (+ (* a1 a1) (* a2 a2))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (sqrt (/ 1 (sqrt 2)))) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (sqrt (/ 1 (sqrt 2))))) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2)))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (* 1/24 (sqrt (/ 1 (sqrt 2))))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2)))))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (sqrt (/ 1 (sqrt 2)))) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (pow a2 2) (pow a1 2))) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2)))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [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 (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [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 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [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 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 th)) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [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 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) 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 (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (sqrt 2))) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) 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 (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (sqrt (sqrt 2)) -1) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 2 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (sqrt 2) (- 1/2)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- 1/2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (pow (sqrt 2) (- 1/2)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 3 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (sqrt (sqrt 2)) (- 1)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (pow (sqrt (sqrt 2)) (- 1)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 4 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (/ 1 (sqrt (sqrt 2))) 1) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 5 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (exp (- (log (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 6 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (exp (log (/ 1 (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 7 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (log (exp (/ 1 (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 8 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (* (cbrt (/ 1 (sqrt (sqrt 2)))) (cbrt (/ 1 (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 9 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 10 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (sqrt (/ 1 (sqrt (sqrt 2)))) (sqrt (/ 1 (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 11 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (- 1) (- (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 12 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* 1 (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 13 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* 1 (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 14 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (/ (sqrt (sqrt 2)) 1)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 15 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 16 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 17 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 19 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 20 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 21 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) 1) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (pow (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 22 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) 1) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 23 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (- (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* * [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 (30 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 24 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (- (log (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 25 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (log (/ 1 (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 26 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (+ (log (/ 1 (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 27 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 28 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 29 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* (cos th) (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* (cos th) (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 30 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (sqrt 2)) (* (/ (* (cos th) (cos th)) (sqrt 2)) (* (cos th) (/ 1 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ 1 (sqrt 2)) (* (/ (* (cos th) (cos th)) (sqrt 2)) (* (cos th) (/ 1 (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 31 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (cbrt (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (cbrt (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 32 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 33 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 34 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* 1 (cos th)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* 1 (cos th))
* * [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 (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 35 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 36 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 37 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 38 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 39 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 40 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 41 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 42 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 43 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 44 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 45 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 46 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 47 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 48 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 49 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 50 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 51 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 52 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 53 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 54 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 55 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 1)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 1)) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 56 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) 1) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) 1) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 57 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (/ 1 (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (/ 1 (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 58 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ 1 (sqrt (sqrt 2)))) (cbrt (/ 1 (sqrt (sqrt 2))))) (* (cbrt (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt (sqrt 2)))) (cbrt (/ 1 (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt (sqrt 2)))) (cbrt (/ 1 (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (cbrt (/ 1 (sqrt (sqrt 2)))) (cbrt (/ 1 (sqrt (sqrt 2))))) (* (cbrt (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 59 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (/ 1 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (sqrt (/ 1 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 60 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 61 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 62 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt (sqrt 2))) (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt (sqrt 2))) (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 63 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* 1 (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 64 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 65 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (pow (/ (cos th) (sqrt (sqrt 2))) 1)) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 66 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (exp (- (log (cos th)) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt (sqrt 2))))
* * [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 (- (log (cos th)) (log (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (exp (- (log (cos th)) (log (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 67 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (exp (log (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 68 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (log (exp (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 69 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (cbrt (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 70 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 71 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (cbrt (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 72 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 73 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (- (cos th)) (- (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 74 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 75 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 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 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 76 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 77 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 78 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 79 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 80 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 81 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 82 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 83 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 84 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 85 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 86 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 87 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 88 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 89 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 90 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 91 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ 1 1) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* 1 (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* 1 (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 92 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* 1 (/ (cos th) (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 93 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (cos th) (/ 1 (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 94 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (/ (sqrt (sqrt 2)) (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 95 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 96 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 97 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 98 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 99 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 100 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) 1) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) 1) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 101 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 102 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 103 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (/ (sqrt (sqrt 2)) (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 104 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) 1))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))
* * * * [misc]progress:  [ 105 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) 1))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))
* * * * [misc]progress:  [ 106 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) 1))>
* * * * [misc]progress:  [ 107 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (+ (- (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (+ (- (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 108 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (+ (- (log (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (+ (- (log (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (388 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))))
* * * * [misc]progress:  [ 109 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (+ (log (/ 1 (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (+ (log (/ 1 (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))))
* * * * [misc]progress:  [ 110 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (+ (log (/ 1 (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (+ (log (/ 1 (sqrt (sqrt 2)))) (log (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (447 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 111 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (log (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))))
* * * * [misc]progress:  [ 112 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 113 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 114 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (322 enodes)
* [exit]simplify:  Simplified to (* (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt 2)))) (* (/ 1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* (cos th) (cos th)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt 2)))) (* (/ 1 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* (cos th) (cos th)))))))
* * * * [misc]progress:  [ 115 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (290 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (* (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))))))
* * * * [misc]progress:  [ 116 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (266 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))))))
* * * * [misc]progress:  [ 117 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 118 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 119 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 120 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (* 1 (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (413 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a1 a1) (* a1 a1)) (* (cos th) (* a1 a1))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* (* (* a1 a1) (* a1 a1)) (* (cos th) (* a1 a1))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (328 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ a2 a1) (* a2 a2)) (* (sqrt 2) (- a2 a1))) (* (* (sqrt 2) (* a1 a1)) (* a1 a1)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (* 1 (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* (+ a2 a1) (* a2 a2)) (* (sqrt 2) (- a2 a1))) (* (* (sqrt 2) (* a1 a1)) (* a1 a1)))))
* * * * [misc]progress:  [ 121 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (* 1 (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (* (* (+ a2 a1) (- a1 a2)) (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (* (+ a2 a1) (- a1 a2)) (sqrt 2))))
* * * * [misc]progress:  [ 122 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (478 enodes)
* [exit]simplify:  Simplified to (* (+ (* (pow a1 3) (pow a1 3)) (* (pow a2 3) (pow a2 3))) (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* (pow a1 3) (pow a1 3)) (* (pow a2 3) (pow a2 3))) (/ (cos th) (sqrt (sqrt 2)))) (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 123 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (336 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2)))) (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (497 enodes)
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (- a1 a2)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (+ a1 a2) (- a1 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 124 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3))) (/ (sqrt (sqrt 2)) (cos th)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (/ (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3))) (/ (sqrt (sqrt 2)) (cos th))) (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (* (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (+ (* (- (* a2 a2) (* a1 a1)) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 125 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2)))) (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (497 enodes)
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (- a1 a2)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (+ a1 a2) (- a1 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 126 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 127 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 128 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (* a2 a2) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (* a1 a1) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (* (/ (* a2 a2) (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 129 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 130 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 131 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) 1) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) 1) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 132 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 133 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 134 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))))
* * * * [misc]progress:  [ 135 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (* 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 136 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (sqrt 2))) (cos th)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* * [misc]simplify:  iters left: 2 (454 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 137 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* 1 (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 138 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (+ (* a1 a1) (* a2 a2)) (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))))>
* * * * [misc]progress:  [ 139 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 140 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 141 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 142 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 143 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2))))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* (pow th 4) 1/24) (* th (* 1/2 th)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (+ (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* (pow th 4) 1/24) (* th (* 1/2 th)))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 144 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (cos th) (sqrt (/ 1 (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 145 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (* (cos th) (sqrt (/ 1 (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 146 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 147 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 148 / 148 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))> #<alt (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* (sqrt 2) 2)))))> #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (* (* (log (exp (/ (cos th) (sqrt 2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))> #<alt (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))> #<alt (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))> #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))> #<alt (λ (a1 a2 th) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (* a1 a1) (* a2 a2)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 th +nan.0)) , with alts (#<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>)
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3555 additional inputs, on iter 1 have 4445 / 8000
* * * * [misc]points:  Computing exacts on every 222 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 111 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 55 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 27 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 13 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 6 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 3555 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 3555 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1542 additional inputs, on iter 2 have 6458 / 8000
* * * * [misc]points:  Computing exacts on every 96 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 48 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 24 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 12 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 6 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 1542 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 1542 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 682 additional inputs, on iter 3 have 7318 / 8000
* * * * [misc]points:  Computing exacts on every 42 of 682 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 21 of 682 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 10 of 682 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 5 of 682 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 2 of 682 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 682 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 291 additional inputs, on iter 4 have 7709 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 291 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 9 of 291 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 4 of 291 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 2 of 291 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 291 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 123 additional inputs, on iter 5 have 7877 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 123 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 3 of 123 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 123 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 56 additional inputs, on iter 6 have 7944 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 56 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 56 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 24 additional inputs, on iter 7 have 7976 / 8000
* * * * [misc]points:  Computing exacts for 24 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 14 additional inputs, on iter 8 have 7986 / 8000
* * * * [misc]points:  Computing exacts for 14 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 9 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs