* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (sqr a1)) (* (/ (cos th) (sqrt 2)) (sqr a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] 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 (sqr 0) (+)) (* 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 (sqr 0) (+ (* 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)))) (sqr th)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (sqr 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]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 (sqr 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))))) 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 (sqr 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))))) 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 (sqr 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 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 (sqr 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))))) 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 (sqr 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))))) 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 (sqr 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (sqr a1) (sqr a2))) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (sqr a1) (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a1) 0) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) 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 (+ (sqr a1) (sqr a2)))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 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 (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) 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 (sqr 0) (+)) (* 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)))) (+ (sqr a1) (sqr a2))))) into (- (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr 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 (/ (sqr a2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (sqr a1) (sqrt 2))) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (sqr a1) (sqrt 2))) 0) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (sqr a1) (sqrt 2)))) into (- (* 1/2 (/ (sqr a1) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (sqr a1) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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 (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [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]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 (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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 (+ (sqr a1) (sqr a2)))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (sqr a1) (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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 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)) (+ (* (/ (sqr a1) (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 a1
* [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)) (sqr (* a1 (* 1 1)))) (* (/ 1 (sqrt 2)) (sqr (* 1 (* a2 1))))) into (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ 1 th))) 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 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]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 (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) 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 (sqr a2)) (/ 1 (sqr a1))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ 1 th))))) into (/ (cos (/ 1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1))) 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) (sqr a1)) 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 (sqr 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 (* (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 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 0))) 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 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 (- (+ (* (/ 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 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 (sqr a2)) (/ 1 (sqr a1))))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ 1 th)))))) 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) (sqr a1))) (/ 0 (sqrt 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 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 (+ 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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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) (sqr a1))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 a2)) 1)))) (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 a1)) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ -1 th))) 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 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]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) 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 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 (sqr a2)) (/ 1 (sqr a1))))) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ -1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ -1 th))))) into (/ (cos (/ -1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqr a1) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqr a1) (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 (* (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqrt 2)))) 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 (- 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) 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 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 (sqr a2)) (/ 1 (sqr a1))))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ -1 th)))))) 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2))))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 (- a2))) 1)))) (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 (- a1))) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (sqr th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (sqr th) (sqrt 2)))) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (+ (/ (+ (* a1 a1) (sqr a2)) (sqrt 2)) (* (- (* (/ (pow th 4) (sqrt 2)) 1/24) (* (/ (sqr th) (sqrt 2)) 1/2)) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 2 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 3 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (cos (/ -1 th))) (sqrt 2))
* * * * [misc]progress:  [ 4 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (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 (+ (/ (* a2 a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* * * * [misc]progress:  [ 5 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (sqr a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos (/ 1 th)))
* * * * [misc]progress:  [ 6 / 52 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (+ (/ (cos (/ -1 th)) (/ (sqrt 2) (sqr a1))) (* (cos (/ -1 th)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 7 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (pow (/ (cos th) (sqrt 2)) 1) (+ (sqr a2) (sqr a1))))>
* * * * [misc]progress:  [ 8 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 9 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (log (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 10 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (/ (cube (cos th)) (cube (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (/ (cube (cos th)) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cube (cos th)) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (cube (cos th)) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 12 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cube (cbrt (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 13 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (cube (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (cube (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (cube (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cube (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 14 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cube (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [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)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 15 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqr (sqrt (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 16 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqr (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (sqr a2) (sqr a1))))>
* [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)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (- (cos th)) (- (sqrt 2))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (- (cos th))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 18 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 19 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (sqr a2) (sqr a1))))>
* * * * [misc]progress:  [ 20 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 (sqrt 2))) (+ (sqr a2) (sqr a1))))>
* [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))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 21 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 22 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (/ (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 1)
* [exit]simplify:  Simplified to (/ (cos th) 1)
* * * * [misc]progress:  [ 23 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 24 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 1))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 25 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))) 1))>
* * * * [misc]progress:  [ 26 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 27 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (cos th) (sqrt 2))) (log (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (sqr a1) (sqr a2))) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (+ (sqr a1) (sqr a2))) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 28 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (log (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (log (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 29 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 30 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (cube (cos th)) (cube (sqrt 2))) (cube (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (/ (cube (cos th)) (cube (sqrt 2))) (cube (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* [exit]simplify:  Simplified to (* (cube (+ (* a2 a2) (* a1 a1))) (/ (cube (cos th)) (* (sqrt 2) 2)))
* [exit]simplify:  Simplified to (* (cube (+ (* a2 a2) (* a1 a1))) (/ (cube (cos th)) (* (sqrt 2) 2)))
* * * * [misc]progress:  [ 31 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (cube (/ (cos th) (sqrt 2))) (cube (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (cube (/ (cos th) (sqrt 2))) (cube (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (sqr a2))) (cube (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (sqr a2))) (cube (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 32 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (cbrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 33 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (cube (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (cube (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cube (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 34 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (sqr a2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (sqr a2))) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 35 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 36 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (sqrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 37 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (sqr a2))) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (sqr a2))) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 38 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 39 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (pow (sqr a2) 3) (pow (sqr a1) 3))) (* (sqrt 2) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (sqr a2) 3) (pow (sqr a1) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (sqr (cube a2)) (cube (sqr a1))))
* [exit]simplify:  Simplified to (* (cos th) (+ (sqr (cube a2)) (cube (sqr a1))))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ a1 a2) (- a1 a2)) (* (sqrt 2) (sqr a1))) (* (* (sqr a2) (sqr a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (+ (* (* (+ a1 a2) (- a1 a2)) (* (sqrt 2) (sqr a1))) (* (* (sqr a2) (sqr a2)) (sqrt 2)))
* * * * [misc]progress:  [ 40 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (- (sqr (sqr a2)) (sqr (sqr a1)))) (* (sqrt 2) (- (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (* (cos th) (- (sqr (sqr a2)) (sqr (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (cos th) (- (* (sqr a2) (sqr a2)) (sqr (sqr a1))))
* [exit]simplify:  Simplified to (* (cos th) (- (* (sqr a2) (sqr a2)) (sqr (sqr a1))))
* [enter]simplify:  Simplifying (* (sqrt 2) (- (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (* (- a2 a1) (* (+ a2 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- a2 a1) (* (+ a2 a1) (sqrt 2)))
* * * * [misc]progress:  [ 41 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))))>
* * * * [misc]progress:  [ 42 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (sqr a2)) (* (/ (cos th) (sqrt 2)) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (sqr a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (sqr a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* (cos th) (sqr a2)) (sqrt 2))
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (sqr a1))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (sqr a1)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* (cos th) (sqr a1)) (sqrt 2))
* * * * [misc]progress:  [ 43 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqr a2) (/ (cos th) (sqrt 2))) (* (sqr a1) (/ (cos th) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (sqr a2) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* (cos th) (* a2 a2)) (sqrt 2))
* [enter]simplify:  Simplifying (* (sqr a1) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (* a1 a1)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* (cos th) (* a1 a1)) (sqrt 2))
* * * * [misc]progress:  [ 44 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 45 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 46 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 47 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 48 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))
* * * * [misc]progress:  [ 49 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (sqr a2) 3) (pow (sqr a1) 3))) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (pow (sqr a2) 3) (pow (sqr a1) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* (cube a2) (cube a2)) (* (cube a1) (cube a1))))
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* (cube a2) (cube a2)) (* (cube a1) (cube a1))))
* * * * [misc]progress:  [ 50 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (sqr (sqr a2)) (sqr (sqr a1)))) (- (sqr a2) (sqr a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (- (sqr (sqr a2)) (sqr (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* [exit]simplify:  Simplified to (* (* (- (sqr a2) (sqr a1)) (/ (cos th) (sqrt 2))) (+ (sqr a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (* (- (sqr a2) (sqr a1)) (/ (cos th) (sqrt 2))) (+ (sqr a1) (sqr a2)))
* * * * [misc]progress:  [ 51 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 52 / 52 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (+ (sqr a2) (sqr a1)) (/ (cos th) (sqrt 2))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in a1
* [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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a2) 0) into (sqr a2)
* [misc]backup-simplify:  Simplify (/ (sqr a2) (sqrt 2)) into (/ (sqr a2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in a2
* [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 (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ 0 (sqr a1)) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in a2
* [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 (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ 0 (sqr a1)) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [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]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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)) (+ (* (/ (sqr a1) (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 a1
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (sqr (* a1 1))) (* (/ 1 (sqrt 2)) (sqr (* 1 a2)))) into (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in a1
* [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 (sqr (/ 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 (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 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [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 (sqr (/ 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 (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 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [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 (sqr (/ 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 (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 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr a1)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (* (sqr a1) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr a1) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqrt 2)))) into (sqrt 2)
* [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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) 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 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2))))) 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 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 (/ 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 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (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 (/ (- 0 (sqr 0) (+)) (* 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (sqr (* 1 (/ 1 (/ 1 a2))))) (* (/ 1 (sqrt 2)) (sqr (* (/ 1 (/ 1 a1)) 1)))) into (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a1
* [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 (sqr (/ 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 (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 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [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 (sqr (/ 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 (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 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [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 (sqr (/ 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 (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 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 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 (- 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 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr a1)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (* (sqr a1) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr a1) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqrt 2)))) into (sqrt 2)
* [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 (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (- 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 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 (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2))))) 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 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 (- 0) into 0
* [misc]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 (- 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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 (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (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 (/ (- 0 (sqr 0) (+)) (* 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (sqr (* 1 (/ 1 (/ 1 (- a2)))))) (* (/ 1 (sqrt 2)) (sqr (* (/ 1 (/ 1 (- a1))) 1)))) into (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (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 (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in a1
* [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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a2) 0) into (sqr a2)
* [misc]backup-simplify:  Simplify (/ (sqr a2) (sqrt 2)) into (/ (sqr a2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (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 (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in a2
* [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 (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ 0 (sqr a1)) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (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 (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in th
* [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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (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 (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (sqr a1)) in th
* [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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1 (/ (+ (sqr a1) (sqr a2)) (sqrt 2))) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (sqr a1) (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a1) 0) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ (+ (sqr a1) (sqr a2)) (sqrt 2)))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 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 (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ (+ (sqr a1) (sqr a2)) (sqrt 2))))) into (- (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (sqr a1) (sqrt 2))) (* 1/2 (/ (sqr a2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr 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 (/ (sqr a2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (sqr a1) (sqrt 2))) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (sqr a1) (sqrt 2))) 0) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (sqr a1) (sqrt 2)))) into (- (* 1/2 (/ (sqr a1) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (sqr a1) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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 (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [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]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 (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (/ (+ (sqr a1) (sqr a2)) (sqrt 2)))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (sqr a1) (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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 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)) (+ (* (/ (sqr a1) (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 a1
* [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)) (sqr (* a1 (* 1 1)))) (* (/ 1 (sqrt 2)) (sqr (* 1 (* a2 1))))) into (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (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 (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in a1
* [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 (sqr (/ 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 (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 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (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 (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [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 (sqr (/ 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 (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 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (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 (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in th
* [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 (sqr (/ 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 (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 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) into (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (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 (/ (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (sqr (/ 1 a1))) in th
* [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 (sqr (/ 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 (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 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) into (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ 1 th))) 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 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]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 (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ 1 th))))) into (/ (cos (/ 1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1))) 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) (sqr a1)) 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 (sqr 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 (* (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 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 0))) 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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ 1 th)))))) 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) (sqr a1))) (/ 0 (sqrt 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 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 (+ 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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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) (sqr a1))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 a2)) 1)))) (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 a1)) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (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 (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a1
* [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 (sqr (/ 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 (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 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (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 (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [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 (sqr (/ 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 (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 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (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 (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [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 (sqr (/ 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 (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 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) into (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (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 (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [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 (sqr (/ 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 (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 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) into (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ -1 th))) 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 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]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) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ -1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ -1 th))))) into (/ (cos (/ -1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqr a1) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqr a1) (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 (* (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqrt 2)))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2)))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ -1 th)))))) 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2))))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (sqrt 2))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 (- a2))) 1)))) (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 (- a1))) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a1 a1) (sqrt 2)) (/ (sqr a2) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 2 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a2 a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 3 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (sqr a1) (sqrt 2)) (/ (sqr a2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a2 a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 4 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (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 (+ (/ (* a2 a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* * * * [misc]progress:  [ 5 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (sqr a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos (/ 1 th)))
* * * * [misc]progress:  [ 6 / 47 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (+ (/ (cos (/ -1 th)) (/ (sqrt 2) (sqr a1))) (* (cos (/ -1 th)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 7 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (pow (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) 1)))>
* * * * [misc]progress:  [ 8 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (exp (- (log (+ (* a2 a2) (sqr a1))) (log (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (+ (* a2 a2) (sqr a1))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (log (sqrt 2)))
* * * * [misc]progress:  [ 9 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (exp (log (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (log (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 10 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (log (exp (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (exp (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cbrt (/ (cube (+ (* a2 a2) (sqr a1))) (cube (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cube (+ (* a2 a2) (sqr a1))) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* [exit]simplify:  Simplified to (/ (cube (+ (sqr a1) (* a2 a2))) (* 2 (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cube (+ (sqr a1) (* a2 a2))) (* 2 (sqrt 2)))
* * * * [misc]progress:  [ 12 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cube (cbrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 13 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cbrt (cube (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (cube (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (317 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (cube (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 14 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cube (/ (cbrt (+ (* a2 a2) (sqr a1))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a2 a2) (sqr a1))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (sqr a1) (* a2 a2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (sqr a1) (* a2 a2))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 15 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (sqr (sqrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 16 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (sqr (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (- (+ (* a2 a2) (sqr a1))) (- (sqrt 2)))))>
* [enter]simplify:  Simplifying (- (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (- (+ (sqr a1) (* a2 a2)))
* [exit]simplify:  Simplified to (- (+ (sqr a1) (* a2 a2)))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 18 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 1) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))
* * * * [misc]progress:  [ 19 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))))>
* * * * [misc]progress:  [ 20 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (+ (* a2 a2) (sqr a1)) (/ 1 (sqrt 2)))))>
* [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))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 21 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a2 a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 22 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a2 a2) (sqr a1)) 1) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (+ (* a2 a2) (sqr a1)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) 1)
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) 1)
* * * * [misc]progress:  [ 23 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a2 a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 24 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (pow (* a2 a2) 3) (pow (sqr a1) 3)) (* (sqrt 2) (+ (sqr (* a2 a2)) (- (sqr (sqr a1)) (* (* a2 a2) (sqr a1))))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (sqr (* a2 a2)) (- (sqr (sqr a1)) (* (* a2 a2) (sqr a1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (+ (* (* (- a1 a2) (+ a1 a2)) (* (sqrt 2) (sqr a1))) (* (sqr a2) (* (sqr a2) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (* (* (- a1 a2) (+ a1 a2)) (* (sqrt 2) (sqr a1))) (* (sqr a2) (* (sqr a2) (sqrt 2))))
* * * * [misc]progress:  [ 25 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (- (sqr (* a2 a2)) (sqr (sqr a1))) (* (sqrt 2) (- (* a2 a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (- (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (* (sqrt 2) (* (+ a2 a1) (- a2 a1)))
* [exit]simplify:  Simplified to (* (sqrt 2) (* (+ a2 a1) (- a2 a1)))
* * * * [misc]progress:  [ 26 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))) 1))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 27 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))) 1))>
* * * * [misc]progress:  [ 28 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (cos th)) (- (log (+ (* a2 a2) (sqr a1))) (log (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (- (log (+ (* a2 a2) (sqr a1))) (log (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* * * * [misc]progress:  [ 29 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (cos th)) (log (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (log (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* * * * [misc]progress:  [ 30 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (log (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (log (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 31 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (exp (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 32 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (cube (cos th)) (/ (cube (+ (* a2 a2) (sqr a1))) (cube (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cube (cos th)) (/ (cube (+ (* a2 a2) (sqr a1))) (cube (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* [exit]simplify:  Simplified to (* (/ (sqr (cos th)) (/ (sqrt 2) (cos th))) (/ (cube (+ (sqr a1) (* a2 a2))) 2))
* [exit]simplify:  Simplified to (* (/ (sqr (cos th)) (/ (sqrt 2) (cos th))) (/ (cube (+ (sqr a1) (* a2 a2))) 2))
* * * * [misc]progress:  [ 33 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (cube (cos th)) (cube (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cube (cos th)) (cube (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (cube (cos th)))
* [exit]simplify:  Simplified to (* (cube (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (cube (cos th)))
* * * * [misc]progress:  [ 34 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (cbrt (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 35 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (cube (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (cube (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (399 enodes)
* [exit]simplify:  Simplified to (cube (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cube (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 36 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (* (cbrt (cos th)) (cbrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (cbrt (cos th)))
* * * * [misc]progress:  [ 37 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (* (cbrt (cos th)) (/ (cbrt (+ (* a2 a2) (sqr a1))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (/ (cbrt (+ (* a2 a2) (sqr a1))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (* a2 a2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (* a2 a2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 38 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (sqrt (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 39 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos th)) (sqrt (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th)))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))) (sqrt (cos th)))
* * * * [misc]progress:  [ 40 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos th)) (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (* a2 a2))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (* a2 a2))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 41 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))))>
* * * * [misc]progress:  [ 42 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 1)) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ 1 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 43 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) 1) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 44 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (+ (* a2 a2) (sqr a1))) (/ 1 (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 45 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 46 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 47 / 47 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (+ (* a2 a2) (sqr a1)) (sqrt 2)) (cos th)))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a2) 0) into (sqr a2)
* [misc]backup-simplify:  Simplify (* (cos th) (sqr a2)) into (* (cos th) (sqr a2))
* [misc]backup-simplify:  Simplify (/ (* (cos th) (sqr a2)) (sqrt 2)) into (/ (* (cos th) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ 0 (sqr a1)) into (sqr a1)
* [misc]backup-simplify:  Simplify (* (cos th) (sqr a1)) into (* (cos th) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (* (cos th) (sqr a1)) (sqrt 2)) into (/ (* (cos th) (sqr a1)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (* 1 (+ (sqr a1) (sqr a2))) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (* 1 (+ (sqr a1) (sqr a2))) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) into (/ (+ (sqr a1) (sqr a2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (sqr a1) (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a1) 0) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (sqr a1) (sqr a2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 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 (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (sqr a1) (sqr a2))))) into (- (+ (* 1/2 (sqr a1)) (* 1/2 (sqr a2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (sqr a1)) (* 1/2 (sqr a2)))) (sqrt 2)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/2 (/ (sqr a2) (sqrt 2))) (* 1/2 (/ (sqr a1) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (sqr a2) (sqrt 2))) (* 1/2 (/ (sqr a1) (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (sqr a2) (sqrt 2))) (* 1/2 (/ (sqr a1) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr 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 (/ (sqr a2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ (sqr a1) (sqrt 2)) into (/ (sqr a1) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (sqr a1) (sqrt 2))) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (/ (sqr a1) (sqrt 2)))) into (* 1/2 (/ (sqr a1) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (sqr a1) (sqrt 2)))) into (- (* 1/2 (/ (sqr a1) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (sqr a1) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (sqr a1) (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 (/ (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [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 (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [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]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 (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (sqr a1) (sqr a2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (sqr a1) (sqr a2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (+ (* 1/2 (/ (sqr a2) (sqrt 2))) (* 1/2 (/ (sqr a1) (sqrt 2))))) (/ 0 (sqrt 2))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqr a1) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (sqr a1) (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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 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)) (+ (* (/ (sqr a1) (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 a1
* [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)) (sqr (* a1 (* 1 1)))) (* (/ 1 (sqrt 2)) (sqr (* 1 (* a2 1))))) into (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) (sqrt 2)) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 (* 1 1) into 1
* [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)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ 1 th))) 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 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]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 (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 (+ (* (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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ 1 th))))) into (/ (cos (/ 1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (sqr a1))) 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) (sqr a1)) 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 (sqr 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 (* (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 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (+ (* 0 0) (* 0 0))) 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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 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]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ 1 th)))))) 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) (sqr a1))) (/ 0 (sqrt 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (+ (* 0 0) (* 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 (+ 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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 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]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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) (sqr a1))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 a2)) 1)))) (* (/ (cos (/ 1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 a1)) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) (sqrt 2)) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 (* -1 -1) into 1
* [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))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (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 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) into (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ -1 th))) 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 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]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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (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 (+ (* (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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ -1 th)))) 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 a1
* [misc]backup-simplify:  Simplify 0 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ -1 th))))) into (/ (cos (/ -1 th)) (sqr a1))
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (sqr a1)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqr a1) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqr a1) (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 (* (sqr a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (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 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqrt 2)))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 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]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ -1 th)))))) 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2))))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 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]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 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)) (* (sqr a1) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (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 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 (sqr 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))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* 1 (* (/ 1 (/ 1 (- a2))) 1)))) (* (/ (cos (/ -1 th)) (sqrt 2)) (sqr (* (/ 1 (/ 1 (- a1))) (* 1 1))))) into (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a1
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* (cos th) (+ (sqr a2) (sqr a1))) 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 (+ (sqr a2) (sqr a1)) in th
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a2 a2) into (sqr a2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (+ (sqr a2) (sqr a1)) into (+ (sqr a1) (sqr a2))
* [misc]backup-simplify:  Simplify (* 1 (+ (sqr a1) (sqr a2))) into (+ (sqr a1) (sqr a2))
* [misc]taylor:  Taking taylor expansion of (+ (sqr a1) (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 (sqr 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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr a1) 0) into (sqr a1)
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (sqr a1) (sqr a2)))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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 (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (sqr a1) (sqr a2))))) into (- (+ (* 1/2 (sqr a1)) (* 1/2 (sqr a2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (sqr a1)) (* 1/2 (sqr a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (sqr a1)) (* 1/2 (sqr a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqr a1)) 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 (sqr 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 (* 1/2 (sqr 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 (sqr 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 (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (* 1/2 (sqr a1)) into (* 1/2 (sqr a1))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqr a1)) 0) into (* 1/2 (sqr a1))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqr a1))) into (- (* 1/2 (sqr a1)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (sqr a1))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqr a1)) 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 (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 th)) (+ (sqr (/ 1 a2)) (sqr (/ 1 a1)))) 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 (+ (sqr (/ 1 a2)) (sqr (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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 (+ 1 0) 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 (* 1 (cos (/ 1 th))) into (cos (/ 1 th))
* [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 (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ 1 th)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ 1 th))))) into (/ (cos (/ 1 th)) (sqr a1))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqr a1)) 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 (sqr 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 (* (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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (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)) into (cos (/ 1 th))
* [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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ 1 th)))))) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 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 (+ (* (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 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 (- (+ (* (/ 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 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 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 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (sqr (* 1 (* (/ 1 (/ 1 a2)) 1)))) (* (cos (/ 1 th)) (sqr (* (/ 1 (/ 1 a1)) (* 1 1))))) into (+ (* (sqr a1) (cos (/ 1 th))) (* (sqr a2) (cos (/ 1 th))))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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 (* (cos (/ 1 (- th))) (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1))))) 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 (+ (sqr (/ 1 (- a2))) (sqr (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (sqr (/ 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 (sqr (/ 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]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (sqr a2))
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) into (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))) into (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) (cos (/ -1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr a1)) in a2
* [misc]taylor:  Taking taylor expansion of (sqr a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (sqr a1)
* [misc]backup-simplify:  Simplify (/ 1 (sqr a1)) into (/ 1 (sqr a1))
* [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]backup-simplify:  Simplify (+ 1 0) 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 (* 1 (cos (/ -1 th))) into (cos (/ -1 th))
* [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]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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (cos (/ -1 th)))) 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 (- 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))) 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr a1))) into (/ 1 (sqr a1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (sqr a1)) (cos (/ -1 th))))) into (/ (cos (/ -1 th)) (sqr a1))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqr a1)) 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 (sqr 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 (* (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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (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)) into (cos (/ -1 th))
* [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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1))))))) 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 a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (* 0 (cos (/ -1 th)))))) 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 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 (+ (* (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 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) 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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (sqr a2)) (/ 1 (sqr a1)))))))) 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 a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr a1)) (/ 0 (sqr a1))) (* 0 (/ 0 (sqr a1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (sqr a1)) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 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 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 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (sqr (* 1 (* (/ 1 (/ 1 (- a2))) 1)))) (* (cos (/ -1 th)) (sqr (* (/ 1 (/ 1 (- a1))) (* 1 1))))) into (+ (* (cos (/ -1 th)) (sqr a1)) (* (sqr a2) (cos (/ -1 th))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (sqr a2) (sqrt 2)) (/ (sqr a1) (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 (+ (/ (* a2 a2) (sqrt 2)) (/ (sqr a1) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ 1 th))) (sqrt 2)) (/ (* (sqr a1) (cos (/ 1 th))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (sqr a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos (/ 1 th)))
* * * * [misc]progress:  [ 3 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (sqr a2) (cos (/ -1 th))) (sqrt 2)) (/ (* (cos (/ -1 th)) (sqr a1)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (+ (/ (cos (/ -1 th)) (/ (sqrt 2) (sqr a1))) (* (cos (/ -1 th)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 4 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (/ 0 (sqrt 2)))>
* [enter]simplify:  Simplifying (/ 0 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 5 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (/ (+ (* (sqr a1) (cos (/ 1 th))) (* (sqr a2) (cos (/ 1 th)))) (sqrt 2)))>
* [enter]simplify:  Simplifying (/ (+ (* (sqr a1) (cos (/ 1 th))) (* (sqr a2) (cos (/ 1 th)))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos (/ 1 th)) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 49 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (/ (+ (* (cos (/ -1 th)) (sqr a1)) (* (sqr a2) (cos (/ -1 th)))) (sqrt 2)))>
* [enter]simplify:  Simplifying (/ (+ (* (cos (/ -1 th)) (sqr a1)) (* (sqr a2) (cos (/ -1 th)))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos (/ -1 th))))
* * * * [misc]progress:  [ 7 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)) 1))>
* * * * [misc]progress:  [ 8 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (- (+ (log (cos th)) (log (+ (sqr a2) (sqr a1)))) (log (sqrt 2)))))>
* [enter]simplify:  Simplifying (- (+ (log (cos th)) (log (+ (sqr a2) (sqr a1)))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* [exit]simplify:  Simplified to (- (log (+ (sqr a1) (* a2 a2))) (- (log (sqrt 2)) (log (cos th))))
* * * * [misc]progress:  [ 9 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (- (log (* (cos th) (+ (sqr a2) (sqr a1)))) (log (sqrt 2)))))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (+ (sqr a2) (sqr a1)))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (sqr a2))) (- (log (cos th)) (log (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (sqr a2))) (- (log (cos th)) (log (sqrt 2))))
* * * * [misc]progress:  [ 10 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (log (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (log (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 11 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (exp (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 12 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (/ (* (cube (cos th)) (cube (+ (sqr a2) (sqr a1)))) (cube (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cube (cos th)) (cube (+ (sqr a2) (sqr a1)))) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (* a2 a2))) (/ (cube (cos th)) (* 2 (sqrt 2))))
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (* a2 a2))) (/ (cube (cos th)) (* 2 (sqrt 2))))
* * * * [misc]progress:  [ 13 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (/ (cube (* (cos th) (+ (sqr a2) (sqr a1)))) (cube (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (cube (* (cos th) (+ (sqr a2) (sqr a1)))) (cube (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (431 enodes)
* [exit]simplify:  Simplified to (/ (cube (+ (* a1 a1) (sqr a2))) (/ (* (sqrt 2) 2) (cube (cos th))))
* [exit]simplify:  Simplified to (/ (cube (+ (* a1 a1) (sqr a2))) (/ (* (sqrt 2) 2) (cube (cos th))))
* * * * [misc]progress:  [ 14 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (cbrt (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 15 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (cube (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (cube (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (cube (/ (+ (* a1 a1) (sqr a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 16 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (/ (cbrt (* (cos th) (+ (sqr a2) (sqr a1)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (cos th) (+ (sqr a2) (sqr a1)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (cos th) (+ (* a1 a1) (sqr a2)))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (* (cos th) (+ (* a1 a1) (sqr a2)))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cube (/ (* (cbrt (cos th)) (cbrt (+ (sqr a2) (sqr a1)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (+ (sqr a2) (sqr a1)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a1) (* a2 a2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a1) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (sqrt (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (sqr a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 19 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (/ (sqrt (* (cos th) (+ (sqr a2) (sqr a1)))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cos th) (+ (sqr a2) (sqr a1)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (cos th) (+ (* a1 a1) (sqr a2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (* (cos th) (+ (* a1 a1) (sqr a2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 20 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (sqr (/ (* (sqrt (cos th)) (sqrt (+ (sqr a2) (sqr a1)))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (cos th)) (sqrt (+ (sqr a2) (sqr a1)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (sqr a1) (* a2 a2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (+ (sqr a1) (* a2 a2))))
* * * * [misc]progress:  [ 21 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (- (* (cos th) (+ (sqr a2) (sqr a1)))) (- (sqrt 2))))>
* [enter]simplify:  Simplifying (- (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (- (cos th)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (- (cos th)))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 22 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) 1) (/ (+ (sqr a2) (sqr a1)) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) 1)
* [exit]simplify:  Simplified to (/ (cos th) 1)
* [enter]simplify:  Simplifying (/ (+ (sqr a2) (sqr a1)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (sqr a1) (* a2 a2)) (sqrt 2))
* * * * [misc]progress:  [ 23 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2))))>
* * * * [misc]progress:  [ 24 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (+ (sqr a2) (sqr a1))) (/ 1 (sqrt 2))))>
* [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))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 25 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ 1 (/ (sqrt 2) (* (cos th) (+ (sqr a2) (sqr a1))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (sqr a1)))
* [exit]simplify:  Simplified to (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (sqr a1)))
* * * * [misc]progress:  [ 26 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (/ (* (cos th) (+ (sqr a2) (sqr a1))) 1) (sqrt 2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (sqr a2) (sqr a1))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) 1))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (sqr a2)) (/ (cos th) 1))
* * * * [misc]progress:  [ 27 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 28 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (pow (sqr a2) 3) (pow (sqr a1) 3))) (* (sqrt 2) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1)))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (+ (* (* (+ a1 a2) (- a1 a2)) (* (sqrt 2) (sqr a1))) (* (* (sqr a2) (sqr a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (+ (* (* (+ a1 a2) (- a1 a2)) (* (sqrt 2) (sqr a1))) (* (* (sqr a2) (sqr a2)) (sqrt 2)))
* * * * [misc]progress:  [ 29 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (- (sqr (sqr a2)) (sqr (sqr a1)))) (* (sqrt 2) (- (sqr a2) (sqr a1)))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (- (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (* (- a2 a1) (* (+ a2 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (* (- a2 a1) (* (+ a2 a1) (sqrt 2)))
* * * * [misc]progress:  [ 30 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (pow (* (cos th) (+ (sqr a2) (sqr a1))) 1) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 31 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (pow (* (cos th) (+ (sqr a2) (sqr a1))) 1) (sqrt 2)))>
* * * * [misc]progress:  [ 32 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (exp (+ (log (cos th)) (log (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (log (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (sqr a1) (* a2 a2))) (log (cos th)))
* [exit]simplify:  Simplified to (+ (log (+ (sqr a1) (* a2 a2))) (log (cos th)))
* * * * [misc]progress:  [ 33 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (exp (log (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (log (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (log (* (cos th) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (log (* (cos th) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 34 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (log (exp (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (exp (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (pow (exp (cos th)) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (pow (exp (cos th)) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 35 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (cbrt (* (cube (cos th)) (cube (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cube (cos th)) (cube (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (* a2 a2))) (cube (cos th)))
* [exit]simplify:  Simplified to (* (cube (+ (sqr a1) (* a2 a2))) (cube (cos th)))
* * * * [misc]progress:  [ 36 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (cube (cbrt (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (cbrt (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cbrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 37 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (cbrt (cube (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (cube (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* [exit]simplify:  Simplified to (cube (* (cos th) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cube (* (cos th) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 38 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (cube (* (cbrt (cos th)) (cbrt (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (* a2 a2))) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (* a2 a2))) (cbrt (cos th)))
* * * * [misc]progress:  [ 39 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (sqr (sqrt (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (sqrt (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (sqrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* * * * [misc]progress:  [ 40 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (sqr (* (sqrt (cos th)) (sqrt (+ (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (sqrt (cos th)) (sqrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (cos th)))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (cos th)))
* * * * [misc]progress:  [ 41 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* 1 (* (cos th) (+ (sqr a2) (sqr a1)))) (sqrt 2)))>
* * * * [misc]progress:  [ 42 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (+ (* (cos th) (sqr a2)) (* (cos th) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (sqr a2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (sqr a2) (cos th))
* [exit]simplify:  Simplified to (* (sqr a2) (cos th))
* [enter]simplify:  Simplifying (* (cos th) (sqr a1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (sqr a1) (cos th))
* [exit]simplify:  Simplified to (* (sqr a1) (cos th))
* * * * [misc]progress:  [ 43 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (+ (* (sqr a2) (cos th)) (* (sqr a1) (cos th))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (sqr a2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (cos th) (* a2 a2))
* [exit]simplify:  Simplified to (* (cos th) (* a2 a2))
* [enter]simplify:  Simplifying (* (sqr a1) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (* (cos th) (* a1 a1))
* [exit]simplify:  Simplified to (* (cos th) (* a1 a1))
* * * * [misc]progress:  [ 44 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (* (cos th) 1) (+ (sqr a2) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 45 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (* (cos th) 1) (+ (sqr a2) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 46 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* 1 (* (cos th) (+ (sqr a2) (sqr a1)))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* * * * [misc]progress:  [ 47 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow (sqr a2) 3) (pow (sqr a1) 3))) (+ (sqr (sqr a2)) (- (sqr (sqr a1)) (* (sqr a2) (sqr a1))))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (sqr a2) 3) (pow (sqr a1) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (sqr (cube a2)) (cube (sqr a1))))
* [exit]simplify:  Simplified to (* (cos th) (+ (sqr (cube a2)) (cube (sqr a1))))
* * * * [misc]progress:  [ 48 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (/ (* (cos th) (- (sqr (sqr a2)) (sqr (sqr a1)))) (- (sqr a2) (sqr a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (- (sqr (sqr a2)) (sqr (sqr a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (cos th) (- (* (sqr a2) (sqr a2)) (sqr (sqr a1))))
* [exit]simplify:  Simplified to (* (cos th) (- (* (sqr a2) (sqr a2)) (sqr (sqr a1))))
* * * * [misc]progress:  [ 49 / 49 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (+ (sqr a2) (sqr a1)) (cos th)) (sqrt 2)))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))> #<alt-delta (λ (a1 a2 th) (cube (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))))> #<alt-delta (λ (a1 a2 th) (sqr (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))))> #<alt-delta (λ (a1 a2 th) (/ (cube (cbrt (* (cos th) (+ (sqr a2) (sqr a1))))) (sqrt 2)))> #<alt-delta (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a2 a2) (sqr a1))))))> #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (sqr a2) (sqr a1))))> #<alt-delta (λ (a1 a2 th) (* (cos th) (sqr (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2))))))> #<alt-delta (λ (a1 a2 th) (cbrt (cube (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))> #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))> #<alt-delta (λ (a1 a2 th) (* (sqr (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (sqr a2) (sqr a1))))> #<alt-delta (λ (a1 a2 th) (cube (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))))> #<alt-delta (λ (a1 a2 th) (* (cube (cbrt (/ (cos th) (sqrt 2)))) (+ (sqr a2) (sqr a1))))> #<alt-delta (λ (a1 a2 th) (cube (cbrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 th +inf.0)) , with alts (#<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (sqr a2) (sqr a1))) (sqrt 2)))>)
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (sqr a2))) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr a1) (sqr a2))) (sqrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (* (cos th) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cbrt (* (cos th) (+ (* a1 a1) (sqr a2))))
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (* a2 a2) (sqr a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a1 a1) (sqr a2)))
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a2 a2) (sqr a1))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (sqr a1) (* a2 a2))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (cube (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (489 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cube (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [enter]simplify:  Simplifying (* (cos th) (+ (sqr a2) (sqr a1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr a2)))
* [exit]simplify:  Simplified to (* (cos th) (+ (* a1 a1) (sqr 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)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (sqr a2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (sqr a1) (sqr a2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (+ (sqr a2) (sqr a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (sqr a2))))